Study on the effect of acid fracturing fluid on pore structure of middle to high rank coal

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To explore the effects of acid fracturing fluids on the pore structure modification of coal samples from different coal ranks, hydrochloric acid-based acid fracturing fluids were prepared and used to soak four types of medium to high-rank coal in an experiment. High-pressure mercury intrusion and liquid nitrogen adsorption techniques results demonstrated that the acid fracturing fluid can effectively alter the pore structure of coal. However, the modification effect does not exhibit a linear relationship with coal rank. The porosity of fat coal and coking coal increased by approximately 30%, while the surface area of gas coal and fat coal increased by about 20%. The new micropores produced by the acid fracturing fluid will increase the roughness of the fracture surface, but the widening of the original fracture will reduce the tortuosity of the fracture. Only the fractal dimension of lean coal has a significant change, about 6%. Overall, acid fracturing fluid has the best effect on gas coal and coking coal. The research results provide a reference for the selection and application of acid fracturing fluid in coal seam hydraulic fracturing. Physical sciences/Energy science and technology/Fossil fuels/Coal Physical sciences/Energy science and technology/Fossil fuels/Natural gas Acid fracturing fluid Pore structure Middle and high rank coal Coal seam gas Experimental research Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 1 Introduction According to data from the International Energy Agency (IEA), coal is expected to remain a primary energy source for several countries in the future, especially for major energy consumers such as China and Indonesia (Gong et al., 2024; Wen et al., 2022). However, a considerable portion of China's coal seams contain substantial amounts of gas (coalbed methane), which can lead to safety incidents, such as coal and gas outbursts, rendering the safe mining of coal challenging (Ye et al., 2024; Zuo et al., 2022a). Moreover, the primary component of coalbed methane is CH 4 , which is also a focus of new energy research (Yang et al., 2024; Zhu et al., 2023). Additionally, the greenhouse effect of coalbed methane is approximately 25 times that of carbon dioxide, making it one of the significant contributors to greenhouse effects (Zhou et al., 2024; Zuo et al., 2024). Consequently, the extraction of coalbed methane offers advantages such as facilitating coal mining, producing new energy sources, and reducing carbon emissions. Coal seams generally have low permeability, leading to poor gas extraction results, which necessitates artificial construction measures to enhance the permeability. Currently, hydraulic slotting and hydraulic fracturing technologies are commonly used, with hydraulic fracturing demonstrating particularly notable effectiveness (Zuo et al., 2022b). Hydraulic fracturing can create extensive fractures within the coal seam, providing pathways for gas extraction. Fracturing fluids can modify the microstructure of the coal, increase its permeability, and promote the desorption and flow of gas, thereby enabling efficient extraction of coalbed methane (Wang et al., 2022). The fracturing fluids used today include clean fracturing fluid, acidic fracturing fluid, and foam fracturing fluid, among which acidic fracturing fluid can react intensely with coal, effectively modification the micro-porous fractures in the coal. Ni et al. (Ni et al., 2019) investigated the impact of acidic fracturing fluid containing SDS, hydrochloric acid, and hydrofluoric acid on the physical structure of coal. They discovered that SDS effectively enhances the transformative effect of the acidic fracturing fluid on coal, reducing the blockage of pores by the fluid. Zhang et al. (Zhang et al., 2023) noted that acidic fracturing fluid composed of HCl and CTAB could modify the functional groups of coal, escalating its pore connectivity and average pore diameter, subsequently affecting the coal's wettability, with the ultimate effectiveness influenced by the coal rank and mineral content. Through immersion experiments, Li et al. (Li et al., 2023) compared the influence of clear water, clean fracturing fluid, and acidic fracturing fluid on coal's physical pore structure, ascertaining that the acidic fracturing fluid exhibited the most significant improvement in micro-pore structure. Wang et al. (Wang et al., 2021) developed an acidic clean fracturing fluid using erucic acid, finding this fluid to possess favorable viscosity and filtration properties while altering the functional groups and microstructure of the coal. Balucan et al. (Balucan et al., 2016) researched the impact of hydrochloric and hydrofluoric acids on coal permeability and fracture compressibility, they found that permeability could be enhanced by up to 4.5 times, and fracture compressibility reduced to one-third, attributing these outcomes to large crystalline minerals formed by the acid interacting with the minerals providing structural support to the fractures. He et al. (He et al., 2023) investigated the effects of various types and concentrations of strong acidic fracturing fluids on coal pore structure, revealing a more significant impact on bituminous coal compared to anthracite, with erosion rates and pore structure changes correlating positively with the coal's metamorphic degree. Wang et al. (Wang et al., 2022) analyzed the impact of hydrochloric acid-based acidic fracturing fluid on coal's pore and functional group structures, noting that higher concentrations of hydrochloric acid enhanced the coal's gas adsorption capacity, and positing that a concentration range of 3% − 5% yielded the best overall transformative results on coal. Miao et al. (Miao et al., 2023) employed nitric acid and ionic liquid to formulate a transformative fluid to bolster the permeability of coal seams. They discovered that this fluid could augment the coal's pore structure; however, the ionic liquid filling smaller pore fractures could lead to reduced average permeability speeds. Furthermore, several scholars have researched the effects of acidic fracturing fluids on carbonate rocks. Gou et al. (Gou et al., 2021) utilizing CT scanning and three-dimensional reconstruction techniques, compared the fracture morphologies after fracturing with conventional and carbonate-reactive acidic fracturing fluids, uncovering that the hydraulic fractures induced by acidic fluids could extend along natural fractures, forming more complex fracture networks without being constrained by stress. Kao et al. (Kao et al., 2020) discovered through acidic fracturing fluid soaking experiments that the fluid's etching effect on fracture surfaces facilitated the connection of adjacent microfractures and natural pores, leading to fluid loss and consequently diminishing the expansion length of the fractures. Liu et al. (Liu et al., 2022) studied the combined effect of acidic fracturing fluid and pressure on the pore structure and fractures of shale, discerning that pressure could enhance the transformative effects of acidic fracturing fluid on shale, with the joint action altering the extent of pore variations. Liu et al. (Liu et al., 2021) also enhanced the recovery efficiency of coal by fracturing the coal layer's gangue with acidic fracturing fluid, finding post-fracture the acidic solution could dissolve calcite and dolomite in the gangue, thereby increasing the number and complexity of the hydraulic fracture networks formed. Moreover, Che et al. (Che et al., 2023) observed that acidic mine water during its infiltration could increase the number of rock fracture pores, subsequently elevating the rock's damage indicators and surrounding rock stability. It can be discerned that acidic fracturing fluids possess substantial advantages in modifying the pore structure and permeability of coal seams. However, current research primarily focuses on the effects of various acidic fracturing fluids on coal pore structure, while their modification impacts on different coal ranks remain ambiguous. This lack of clarity hinders the development of hydraulic fracturing technology. Therefore, this article compares the effects of acidic fracturing fluids on the pore structures of middle to high-rank coals. The findings provide a reference for selecting appropriate acidic fracturing fluids, thereby facilitating the advancement of coalbed methane extraction technologies. 2 Experimental design 2.1 Samples preparation Four coal samples of different metamorphic grades were collected from four different coal mines. The metamorphic grades and basic parameters of the four coal samples were measured, with the maximum reflectance of vitrinite ( R o,max ) being 0.72, 1.15, 1.53, and 2.13, respectively. According to ASTM standards, S1, S2, and S3 are classified as medium-volatile bituminous coal, while S4 is classified as high-volatile bituminous coal. Additionally, an industrial analysis was conducted on the four coal samples, and the hardness coefficient and porosity were determined, as detailed in Table 1 . Table 1 The basic parameters of the coal samples Sample Coal types R o,max f Porosity/% S1 Gas coal 0.72 0.55 3.71 S2 Fat coal 1.15 0.46 2.97 S3 Coking coal 1.53 0.63 5.06 S4 Lean coal 2.13 0.61 3.23 2.2 Experimental process First, crush the coal samples and sieve out particles of about 3 mm. Then prepare an acidic fracturing fluid in the ratio of 0.5 wt% HCl + 0.5 wt% CTAB (Bratcher et al., 2021). According to Yang's research, this acidic fracturing fluid can chemically react with coal to increase the porosity of the coal structure. Next, place 50 g of coal sample and 500 mL of fracturing fluid in a beaker, and then put the beaker in a constant temperature water bath. Set the temperature of the water bath to 40°C. After soaking for 24 hours, rinse the coal sample with clean water and dry it. Finally, analyze the changes in the coal sample's pore structure using high-pressure mercury intrusion and electron microscopy scanning, as shown specifically in Fig. 1 . 3 Experimental results 3.1 MIP analysis The coal samples were first subjected to mercury intrusion porosimetry to assess changes in the pore structure of the coal samples before and after the action of fracturing fluid. The mercury intrusion and extrusion curves for different coal samples are shown in Fig. 2 . 3.1.1 Intrusion volume In order to analyze the alterations in coal sample porosity structures more effectively, the pores are categorized based on their sizes following Hudot's pore size classification standards. This classification categorizes the pores into micropores ( 1000 nm) (Gan et al., 2024). Figure 3 illustrates the changes in pore volume before and after the treatment of fracturing fluid. It is observed that the pore volume distribution varies across different coal ranks and pore sizes, but, on the whole, the transition pores and macropores predominate in terms of proportion. Following the treatment of fracturing fluid, there is a notable increase in the pore volume across various coal ranks; fat coal and coking coal exhibit a significant increase, approximately 30%; whereas gas coal and lean coal display a smaller increase, around 15%. The primary reason is the physicochemical reactions between the fracturing fluid and minerals in the coal, such as clay minerals and kaolinite, which result in an enlargement of pore volumes. For gas coal, the increase in the volume of transition pores and macropores post-treatment is evident, with macropores showing marked enlargement. Fat coal, which initially has the smallest pore volume, experiences an increase across all pore sizes after treatment, with the total pore volume increasing by 29%. Transition pores account for the largest proportion and the most significant increase, primarily because the abundant mineral impurities in fat coal react thoroughly with the fracturing fluid, enlarging existing pores and generating many new ones. Coking coal has the largest pore volume, as well as the greatest change in pore volume, indicating an optimal physicochemical interaction with the fracturing fluid. Here, micropores, transition pores, and macropores are the predominant voids, with the total porosity increasing by 27.7% after treatment. The chemical reactions between the fracturing fluid and surrounding minerals enlarge pores of all sizes, resulting in a decrease in micropores, but a significant increase in transition pores, mesopores, and macropores. This is likely because the coking coal samples, having a large micro-pore volume and surface area, facilitate extensive contact with the fracturing fluid and thereby promoting chemical reactions that substantially enhance the total pore volume. For lean coal, macropores are the dominant pore type, constituting about 50% of the total pore volume. Post-fracturing fluid treatment, the overall increase in pore volume in lean coal is the least (almost 12.5%), with transition pores and macropores showing a notable increase, suggesting a less effective interaction between the fracturing fluid and the coal, mainly expanding existing voids rather than creating new micropores. The minimal impact on lean coal's porosity arises from its lower mineral content, which limits the intensity of chemical reactions with the fracturing fluid, making it difficult to generate additional new pores. 3.1.2 Pore area Figure 4 illustrates the changes in pore volume before and after the treatment of fracturing fluid. The surface area of the pores in coal samples of different ranks varies, and the alterations resulting from the fracturing fluid are also distinct. It is observable that the specific surface area of coal samples across various coal ranks initially increases and then decreases. Among these, gas coal has the smallest pore surface area, while coking coal has the largest. The surface area of the pores in different coal ranks is predominantly composed of micropores and transition pores, a characteristic informed by the nature of these specific surface areas. Additionally, it is noted that the pore surface area in both gas coal and fat coal increases by approximately 20% after treatment with fracturing fluid, whereas the surface area in coking coal and lean coal decrease by 6% and 7%, respectively. The reasons for these changes in total surface area are attributed to variations in the surface area of micropores. An increase in the number of new micropores leads to an enlargement of the micropore surface area, thereby increasing the overall surface area. If fewer new micropores are generated, and the existing micropores expand or connect to become transition pores and mesopores, this results in a reduction of the total surface area. The content of mineral impurities within the coal samples plays a decisive role in the effectiveness of the interaction between the fracturing fluid and the coal, with a higher content of impurities facilitating physicochemical reactions with the fracturing fluid. Post-treatment, micropores and transition pores in both gas coal and fat coal exhibit an increase in surface area, primarily because the treatment with fracturing fluid expands existing micropores into transition pores and generates new micropores within the coal. In fat coal, a substantial modification of micropores into transition pores contributes to a significant increase. Conversely, in coking coal and lean coal, the surface area of micropores decreases post-treatment, while the area of transition pores increases. This effect primarily results from the fracturing fluid expanding a vast number of micropores into transition pores, without generating a substantial number of new micropores in the coal. 3.1.3 Fractal dimension Calculating the distribution of pore sizes can yield the fractal dimension, which in turn allows the assessment of the homogeneity of the pore structure in coal samples. For coal and rock, a higher fractal dimension indicates poorer homogeneity of the pores. Here, the Washburn equation is used to establish a double logarithmic regression equation between pressure and mercury intrusion, which is used to calculate the fractal dimension (Wang et al., 2014), as shown in Fig. 5 . The relationship of \(d{V_P}\) and \(dP\) is described by Eq. 1 , the fractal dimension can be obtained by piecewise fitting the data. $$\log ( - d{V_P}/dP)=(D - 4)\log (P)$$ 1 Where V P is the cumulative mercury intake when the pressure is P, mL/g; D = A + 4, where A is the slope of Eq. ( 1 ); D is the fractal dimension, and the smaller D is, the greater the homogeneity. It has been observed that the fractal dimensions of coal samples across different coal ranks exhibit minimal variation. Among them, fat coal possesses the highest fractal dimension at 2.269, while gas coal, coking coal, and lean coal have similar fractal dimensions, approximately 2.0. Post-fracturing fluid treatment, the fractal dimensions of the coal pores remain largely unchanged, with a slight increase in gas coal and minor reductions in fat coal, coking coal, and lean coal. This suggests that the interaction of fracturing fluid with coal primarily expands existing pore sizes or generates new pores without significantly affecting the overall distribution and connectivity of pores of varying sizes. 3.2 LT-N 2 A 3.2.1 Pore structure Comparative analyses of nitrogen adsorption data from different grades of coal reveal significant disparities. These variations primarily arise during the coal formation process, wherein the porous structure, size, and distribution of the pores evolve with coal rank. Generally, the higher the coal rank, the fewer the pores observed: a trend that is consistent across the four coal types studied in the experiment. Furthermore, the nitrogen adsorption/desorption isotherms exhibit notable differences among different ranks, influenced significantly by the form of the pores. According to standards set by the IUPAC (He et al., 2023), adsorption isotherms and hysteresis loops can be classified into six types each, as demonstrated in Fig. 6 , with isotherms ranging from Type I to VI, and hysteresis loops from H1 to H5. It is observable that the isotherms for different grades of coal before and after modification fall between Types III and IV, predominantly characterized by adsorption hysteresis loops in the middle range, although the rise in the low-pressure phase of the isotherm exhibits a slight protuberance that is not markedly prominent. The emergence of these hysteresis loops is primarily due to capillary condensation within diverse pore forms during the multilayer adsorption process. These loops definitively belong to Type H3, indicating the presence of pore types such as flat slit structures, cracks, and wedge-shaped configurations, which are not completely filled and do not exhibit adsorption saturation even in higher relative pressure zones. As illustrated in Fig. 7 , a comparison reveals that the adsorption isotherms of different grades of coal, before and after modification, are rather similar except that the N 2 adsorption volume slightly increases, accompanied by more pronounced hysteresis loops. This change is mainly due to the chemical reactions between the acidic fracturing fluid and the mineral impurities within the coal, leading to the dissolution of minerals originally embedded within the coal structure. These reactions result in the formation of new pores and the enlargement of existing ones. Regardless of the scenario, these changes result in an increased presence of open pores within the coal, including a significant proportion of slit or parallel plate pores, ultimately altering the adsorption isotherms pre and post- treatment. For fat coal and coking coal, the smaller hysteresis loops indicate the presence of only a few slit or plate pores alongside numerous poorly interconnected pores, such as wedge-shaped pores. Particularly for coking coal, the modification induced by acidic fracturing fluid is the most pronounced: initially subtle hysteresis loops become significantly more evident post-treatment, suggesting the most effective chemical modification achieved by the fracturing fluid. Additionally, the variations in the hysteresis loops, indicated by differing inflection points near relative pressure 0.5, also imply varying quantities of ink-bottle shaped pores within the coal samples. This type of pore displays slow desorption at higher pressures, and rapid release of condensed nitrogen inside the pore when the relative pressure decreases to below 0.5, which is a contributing factor to the inflection in the desorption curve. Overall, post-fracturing fluid treatment results in minimal changes in lean coal, the largest adsorption capacity change in fat coal, and the most significant alteration in pore structural type in coking coal. 3.2.2 Fractal dimension In order to quantitatively analyze the pore structure of coal, we calculated the fractal dimension of coal pores based on the Frenkel-Halsey-Hill (FHH) model (Jing et al., 2018). Eq. ( 2 ) is the FHH model. Moreover, according to the nitrogen adsorption-desorption curve previously mentioned, it can be seen that there are a significant number of ink bottle-shaped pores in the coal, which causes a sudden change in the desorption curve at a certain pressure point. To calculate the fractal dimensions reasonably, we will divide the fractal dimensions into two intervals based on pressure size: the results for relative pressures greater than 0.5 are marked as fractal dimension D 1 , and the results for relative pressures less than 0.5 are marked as fractal dimension D 2 . Since the pore diameter corresponding to a relative pressure of 0.5 is about 4.5 nm, the fractal dimension for pores ranging from 4.5 to 100 nm is D 1 , while that for pores ranging from 2.0 to 4.5 nm is D 2 . $$\ln \left( {V/{V_0}} \right)={\text{C}}+A\left[ {\ln \left( {\ln \left( {{P_0}/P} \right)} \right)} \right]$$ 2 Where V is the nitrogen adsorption amount, mL/g; V 0 is the monolayer adsorption amount of nitrogen at standard temperature and pressure (ml/g); P 0 is the vapor pressure of nitrogen, MPa; P is the pressure, MPa; C is the constant and A is the slope of the fitted line. The fractal dimension is A + 3. The fractal dimension is generally between 2 ~ 3, and the closer to 2, the smoother the pores. From the data-fitted structures yielding fractal dimensions D 1 and D 2 , it is evident that for a given coal sample, D 1 is noticeably greater than D 2 , a pattern consistent across all samples (Fig. 8 ). As fractal dimensions typically range between 2 and 3, with D 1 values commonly around 2.5, this dimension serves to assess the roughness of the pore surfaces and the complexity of the pore structures. However, more than half of the D 2 values fall below 2, thereby rendering it unsuitable for quantitative assessments of porosity. Furthermore, the R 2 values for D 1 are predominantly above 0.9, indicating a high level of reliability in these measurements, hence only D 1 is analyzed here. Post-treatment with acidic fracturing fluid, there is a slight increase in D 1 values across all coal samples. This implies that the acidic fracturing fluid enhances the roughness of the pore surfaces and the complexity of the pore structures, particularly in the larger pores. We theorize that the mineral particles embedded within the coal contribute to its dense appearance and low porosity. The chemical reactions between the acidic fracturing fluid and these mineral particles expose the originally filled pores, primarily driving the increased complexity in the pore structures of the coal samples. 3.3 SEM To observe the pore structure of coal samples of different coal ranks more intuitively after treatment, scanning electron microscopy (SEM) was performed on coal samples before and after treatment. The specific results are shown in Fig. 9 . The SEM images represent only a very small area of the coal sample, which might lead to some discrepancies with the results obtained by other testing methods. However, these images do provide a certain degree of insight into the experimental results. It can be observed that there are significant differences in the surface and pore structures of the raw coal samples from different coal ranks. These differences are mainly due to the varying degrees of coalification during the coal formation process. For the raw coal samples, the S1 sample, which is of a lower coal rank, contains more mineral impurities and has a more complex surface structure compared to the other three samples, which have relatively smoother surfaces. However, the S4 sample exhibits noticeable layering on its surface, indicating the presence of partial crystallization and a higher degree of coalification. After the action of the fracturing fluid, the overall pore structures of the coal samples show varying degrees of change, with an increase in both the number and size of the pores. Before treatment, the coal sample surfaces had a certain amount of mineral particle attachments and fewer pores. After treatment with acidic fracturing fluid, the number of attached particles decreased significantly, and the number of surface pores increased noticeably. Regarding the specific effects of the fracturing fluid, the pore structure of the coking coal showed relatively larger changes, while the lean coal exhibited smaller changes. The coking coal and fat coal showed a considerable number of newly formed pores on their surfaces, whereas fewer new pores were observed in the gas coal and lean coal, which is somewhat consistent with the results of the MIP experiment. 4 Discussion 4.1 Changes of pore structure of coal samples During the coalification process, influenced by temperature and stress, the internal and molecular structures of coal undergo modification resulting in changes in porosity. In the experiments conducted on four types of coal samples, all demonstrated an increase in pore volume post-fracturing fluid treatment, with coking coal ( R max = 1.5) exhibiting the largest pore volume. Due to alterations in pore sizes during coal formation and influenced by the laws of specific surface area and pore volume, coking coal ( R max = 1.5) also presented the largest pore surface area. After treatment with fracturing fluid, total pore surface area increased in gas coal and fat coal, while it decreased in coking coal and lean coal. This is largely attributed to changes in the dimensions of the coal’s pores post-fracturing fluid treatment, particularly noticeable in coking coal and lean coal where the average pore size significantly increased, thus reducing overall pore surface area despite an increase in pore volume. Additionally, the average pore size in coal tends to decrease and then increase as the rank progresses. The permeability in mercury injection data is calculated according to pore distribution, capillary force, pore throat, etc. There is a certain error with the real value, but it can also indicate the change of coal sample permeability to a certain extent. As depicted in Fig. 10 , post-fracturing fluid treatment, permeability in all coal samples increased to varying degrees, gas coal and fat coal experienced smaller increments (about 50%), whereas coking coal saw a threefold increase. As R max increases, the tortuosity and fractal dimensions of both unaltered and modified coal samples exhibited an initial increase followed by a decrease. Tortuosity represents the ease of passage through channels, indicating the resistance within these pathways. Coking coal showed the highest initial tortuosity, which decreased after fracturing fluid treatment, with the largest reduction observed in coking coal, and the highest post-treatment tortuosity noted in fat coal, likely due to changes in coal pore sizes. In terms of fractal dimensions, which describe the complexity of the pore structures, there was minimal change before and after treatment, with only fat coal showing an increase, while the others decreased. Among these, fat coal consistently had the highest fractal dimension. Moreover, an analysis of the coal pore structure was conducted based on nitrogen adsorption data, as illustrated in Fig. 11 . With increasing coal rank, certain similarities in trends were observed, albeit with notable differences, primarily due to disparities between high-pressure mercury intrusion and liquid nitrogen adsorption methodologies. The former measures pores by quantifying the mercury injected into coal pores from larger to smaller sizes, covering a range from 5 nm to 340,000 nm. Conversely, the liquid nitrogen adsorption technique calculates porosity based on the amount of nitrogen adsorbed, focusing first on smaller pores, with a measured range of 2 nm to 500 nm. Specifically, post-acidic fracturing fluid treatment, nitrogen adsorption in coal samples increased, with gas coal and fat coal showing more significant rises of 40% and 56%, respectively, attributed to higher mineral content in lower-rank coals. Regarding average pore size, samples displayed a decrease followed by an increase pre and post-treatment, with coking coal consistently showing the lowest values. Gas coal and fat coal exhibited a decreasing trend in average pore size, whereas lean coal showed an increase (about 14%), influenced by mineral content dictating new pore formation and thereby affecting average pore sizes. As coal rank increased, fractal dimension D 1 also showed a trend of initial increase followed by decrease, with the peak at coking coal. This likely correlates with pore volume and average pore size; coking coal had a larger pore volume and smaller average pore size, indicating a greater number of very small pores, likely contributing to a more complex pore surface roughness. After acidic fracturing fluid treatment, all coal samples saw increases in fractal dimension D 1 , with the most substantial increase in lean coal, about 6%. When combining mercury intrusion and liquid nitrogen adsorption data, the transformative effects of acidic fracturing fluid were most effective in gas coal and coking coal. 4.2 The reason of pore change Coal is composed of a mixture of elements including carbon, hydrogen, oxygen, nitrogen, and sulfur. Throughout geological movements and the coal formation process, minerals such as Calcite (CaCO 3 ), Kaolinite (AlSi 4 O 10 (OH) 8 ), and Dolomite (CaMg(CO 3 ) 2 ) have formed within coal and are prevalent throughout coal seams (Li et al., 2022). According to basic chemical principles, the hydrogen ions present in acidic fracturing fluids engage in complex chemical reactions with minerals such as Calcite and Dolomite in coal, thereby dissolving these minerals, as described in Eq. ( 3 – 6 ). The organic matter within coal, however, is composed of complex high-molecular-weight organic compounds that have a higher activation barrier, making them more resistant to reactions with hydrogen ions. Moreover, variations in mineral composition, porosity, and the complexity of pore structures among different ranks of coal contribute to differing impacts from the interactions with fracturing fluids. $${\text{CaC}}{{\text{O}}_{\text{3}}}+{{\text{H}}^+} \to {\text{C}}{{\text{O}}_{\text{2}}}+{\text{C}}{{\text{a}}^{2+}}+{{\text{H}}_{\text{2}}}{\text{O}}$$ 3 $${\text{F}}{{\text{e}}_{\text{2}}}{{\text{O}}_{\text{3}}}+{{\text{H}}^+} \to {\text{F}}{{\text{e}}^{2+}}+{{\text{H}}_{\text{2}}}{\text{O}}$$ 4 $${\text{CaMg}}{\left( {{\text{C}}{{\text{O}}_3}} \right)_2}+{{\text{H}}^+} \to {\text{C}}{{\text{a}}^{2+}}+{\text{M}}{{\text{g}}^{2+}}+{\text{C}}{{\text{O}}_{\text{2}}}+{{\text{H}}_{\text{2}}}{\text{O}}$$ 5 $${\text{A}}{{\text{l}}_{\text{4}}}{\text{S}}{{\text{i}}_{\text{4}}}{{\text{O}}_{\text{5}}}{\left( {{\text{OH}}} \right)_4}+{{\text{H}}^+} \to {\text{A}}{{\text{l}}^{3+}}+{\text{S}}{{\text{i}}^{4+}}+{{\text{H}}_{\text{2}}}{\text{O}}$$ 6 5 Conclusion Acidic fracturing fluids are capable of modifying the microporous structures in coal of different ranks, though the effectiveness of these modifications varies. Analysis via high-pressure mercury intrusion and nitrogen adsorption methods reveals the following results: ( 1 ) Post-treatment with acidic fracturing fluids, the pore volume within coal samples of varying ranks increases, by up to 30%, though variations according to pore size distribution are observed. Overall, transition pores and macropores, which form a significant proportion and are evidently affected the most by the acidic fracturing fluids. ( 2 ) The surface area of coal samples across different ranks is predominantly composed of micropores and transition pores. The acidic fracturing fluids facilitate the formation of new micropores, enhancing the surface area of gas coal and fat coal by approximately 20%, while reducing the surface area of coking coal and lean coal by about 5% and 7%, respectively. ( 3 ) The new micropores created in the coal by acidic fracturing fluids increase the roughness of the fracture faces; however, the widening of original fractures reduces the tortuosity of these channels. Notably, lean coal exhibits the greatest increase in fractal dimensions for about 6%, with other ranks of coal showing minimal change. ( 4 ) Acidic fracturing fluids alter both the size and shape of coal's pore structures, although the transformative effects do not display a linear relationship with coal rank. Overall, acidic fracturing fluids yield the most favorable outcomes in modifying gas coal and coking coal. Declarations Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Ethical statement This article does not deal with human and animal experimentation. Credit authorship contribution statement Zhao Kang: Writing-Original draft preparation, Conceptualization, Methodology. Li Liangwei: Writing-review and editing, Resources, Visualization, Supervision. Li Kun: Data curation, Software, Visualization, Investigation. Zuo Shaojie: Writing-review and editing, Resources, Methodology. Jiang Zhizhong: Supervision, Investigation. Author Contribution Zhao Kang: Writing-Original draft preparation, Conceptualization, Methodology. Li Liangwei: Writing-review and editing, Resources, Visualization, Supervision. Li Kun: Data curation, Software, Visualization, Investigation. Zuo Shaojie: Writing-review and editing, Resources, Methodology. Jiang Zhizhong: Supervision, Investigation. Acknowledgments This study was financially supported by the National Natural Science Foundation of China (No. 52304129), Guizhou Provincial Science and Technology Projects (ZK[2023] general 070), Natural Science Talents Fund Project of Guizhou University (Grant No. 2021064). 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Effects of acid-based fracturing fluids with variable hydrochloric acid contents on the microstructure of bituminous coal: An experimental study. Energy . 244. 10.1016/j.energy.2021.122621 (2022). Wen, Z. J., Jing, S. L., Meng, F. B. & Jiang, Y. J. Control technology for floor heave of Jurassic soft rock in the Erdos Basin of China: A case study. J. Cent. South. Univ. 29 (12), 4051–4065. 10.1007/s11771-022-5173-8 (2022). Yang, M. M., Zhang, J. Y., Zhang, L. & Gong, S. H. Physicochemical Effect on Coal Pores of Hydrocarbon Chain Length and Mixing of Viscoelastic Surfactants in Clean Fracturing Fluids. Acs Omega . 9 (17), 19418–19427. 10.1021/acsomega.4c00692 (2024). Ye, M. L. et al. Study on crack propagation mechanism of coal under the different orientation between prefabricated slots and true triaxial stress. Energy . 298. 10.1016/j.energy.2024.130988 (2024). Zhang, Y. et al. Experimental study on the influence of acid fracturing fluid on coal wettability. 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The effect of temperature and ultrasonic power on the microstructure evolution of coal modified by clean fracturing fluid: An experimental study. Energy . (306). https://doi.org/10.1016/j.energy.2024.132436 (2024). Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 15 Jan, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 19 Nov, 2024 Reviews received at journal 13 Nov, 2024 Reviews received at journal 07 Nov, 2024 Reviewers agreed at journal 28 Oct, 2024 Reviewers agreed at journal 28 Oct, 2024 Reviewers invited by journal 02 Oct, 2024 Editor assigned by journal 30 Sep, 2024 Editor invited by journal 30 Sep, 2024 Submission checks completed at journal 26 Sep, 2024 First submitted to journal 13 Sep, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5082968","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":380165066,"identity":"6483b5fe-f07d-4ac5-b7a1-725ba9505ec6","order_by":0,"name":"Zhao Kang","email":"","orcid":"","institution":"Guizhou Yuneng Investment Co., Ltd","correspondingAuthor":false,"prefix":"","firstName":"Zhao","middleName":"","lastName":"Kang","suffix":""},{"id":380165067,"identity":"6eccb1f5-6fd3-4ef8-a123-a825389e48ee","order_by":1,"name":"Li 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1","display":"","copyAsset":false,"role":"figure","size":192406,"visible":true,"origin":"","legend":"\u003cp\u003eThe experimental flow chart\u003c/p\u003e","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/aa4566cdf650d15e00588064.png"},{"id":70594652,"identity":"ec31e84d-81f5-48c2-8c6a-3a22509def69","added_by":"auto","created_at":"2024-12-04 17:57:04","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":5012418,"visible":true,"origin":"","legend":"\u003cp\u003eThe MIP curves of different samples\u003c/p\u003e","description":"","filename":"floatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/ffd3bf4f922d52e478dad343.png"},{"id":70593621,"identity":"ab598536-236e-49f6-b75e-e6ffc5d40e0c","added_by":"auto","created_at":"2024-12-04 17:41:04","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":4062906,"visible":true,"origin":"","legend":"\u003cp\u003ePore volume change of coal sample after treatment\u003c/p\u003e","description":"","filename":"floatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/da74813f59e351d2f05b44a3.png"},{"id":70593824,"identity":"11ec8d63-e509-4b3f-b57b-8c3145c7b979","added_by":"auto","created_at":"2024-12-04 17:49:04","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":3960035,"visible":true,"origin":"","legend":"\u003cp\u003eSurface area change of coal sample after treatment\u003c/p\u003e","description":"","filename":"floatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/67e537e24925ebf7f5e0bcbb.png"},{"id":70593826,"identity":"8ad495a7-71ba-41de-a138-5bcc69d36163","added_by":"auto","created_at":"2024-12-04 17:49:04","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":11546178,"visible":true,"origin":"","legend":"\u003cp\u003eFractal dimension of MIP data of different coal samples\u003c/p\u003e","description":"","filename":"floatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/0d7b64c1775716fc1f577e88.png"},{"id":70593612,"identity":"7b56d3e0-5202-4ae4-8483-3b9e54d1588e","added_by":"auto","created_at":"2024-12-04 17:41:04","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":212484,"visible":true,"origin":"","legend":"\u003cp\u003eDifferent types of adsorption isotherm and hysteresis loop diagram\u003c/p\u003e","description":"","filename":"floatimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/50f4a6889ce933c42128d438.png"},{"id":70593827,"identity":"e59438a1-df91-48b5-8cdd-2df2305842c6","added_by":"auto","created_at":"2024-12-04 17:49:05","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":691525,"visible":true,"origin":"","legend":"\u003cp\u003eNitrogen adsorption and desorption curves\u003c/p\u003e","description":"","filename":"floatimage7.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/4e6ff6292629691cf0436664.png"},{"id":70593617,"identity":"fd5c0dab-2246-465f-8ffa-b0cc6bee28cd","added_by":"auto","created_at":"2024-12-04 17:41:04","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":574886,"visible":true,"origin":"","legend":"\u003cp\u003eFractal dimension of liquid nitrogen adsorption data of different coal samples\u003c/p\u003e","description":"","filename":"floatimage8.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/47e0e07d45ebc182381e1384.png"},{"id":70593614,"identity":"58c3d2fd-8764-403e-bba6-df0cd6625a1d","added_by":"auto","created_at":"2024-12-04 17:41:04","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":496954,"visible":true,"origin":"","legend":"\u003cp\u003eThe SEM photos of different coal samples\u003c/p\u003e","description":"","filename":"floatimage9.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/a76eafe9292faadb30ea9ec2.png"},{"id":70593620,"identity":"607e2814-ecc2-44a6-acfe-30a578e6afca","added_by":"auto","created_at":"2024-12-04 17:41:04","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":643802,"visible":true,"origin":"","legend":"\u003cp\u003eVariation rules of pore structure by MIP data\u003c/p\u003e","description":"","filename":"floatimage10.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/7e7ac1700c4631d572b938c6.png"},{"id":70593622,"identity":"85f3a507-6cac-400d-9a25-da1861df57b2","added_by":"auto","created_at":"2024-12-04 17:41:05","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":2528747,"visible":true,"origin":"","legend":"\u003cp\u003eVariation rules of pore structure by LT-N\u003csub\u003e2\u003c/sub\u003eA data\u003c/p\u003e","description":"","filename":"floatimage11.png","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/81672f5b76017ebb8e507dbf.png"},{"id":74285709,"identity":"97ef6a53-506e-40d8-b915-ac8844328c81","added_by":"auto","created_at":"2025-01-20 16:14:37","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":30378561,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5082968/v1/88bd5377-6149-4c88-ad8b-bf34a14e7652.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Study on the effect of acid fracturing fluid on pore structure of middle to high rank coal","fulltext":[{"header":"1 Introduction","content":"\u003cp\u003eAccording to data from the International Energy Agency (IEA), coal is expected to remain a primary energy source for several countries in the future, especially for major energy consumers such as China and Indonesia (Gong et al., 2024; Wen et al., 2022). However, a considerable portion of China's coal seams contain substantial amounts of gas (coalbed methane), which can lead to safety incidents, such as coal and gas outbursts, rendering the safe mining of coal challenging (Ye et al., 2024; Zuo et al., 2022a). Moreover, the primary component of coalbed methane is CH\u003csub\u003e4\u003c/sub\u003e, which is also a focus of new energy research (Yang et al., 2024; Zhu et al., 2023). Additionally, the greenhouse effect of coalbed methane is approximately 25 times that of carbon dioxide, making it one of the significant contributors to greenhouse effects (Zhou et al., 2024; Zuo et al., 2024). Consequently, the extraction of coalbed methane offers advantages such as facilitating coal mining, producing new energy sources, and reducing carbon emissions.\u003c/p\u003e \u003cp\u003eCoal seams generally have low permeability, leading to poor gas extraction results, which necessitates artificial construction measures to enhance the permeability. Currently, hydraulic slotting and hydraulic fracturing technologies are commonly used, with hydraulic fracturing demonstrating particularly notable effectiveness (Zuo et al., 2022b). Hydraulic fracturing can create extensive fractures within the coal seam, providing pathways for gas extraction. Fracturing fluids can modify the microstructure of the coal, increase its permeability, and promote the desorption and flow of gas, thereby enabling efficient extraction of coalbed methane (Wang et al., 2022). The fracturing fluids used today include clean fracturing fluid, acidic fracturing fluid, and foam fracturing fluid, among which acidic fracturing fluid can react intensely with coal, effectively modification the micro-porous fractures in the coal.\u003c/p\u003e \u003cp\u003eNi et al. (Ni et al., 2019) investigated the impact of acidic fracturing fluid containing SDS, hydrochloric acid, and hydrofluoric acid on the physical structure of coal. They discovered that SDS effectively enhances the transformative effect of the acidic fracturing fluid on coal, reducing the blockage of pores by the fluid. Zhang et al. (Zhang et al., 2023) noted that acidic fracturing fluid composed of HCl and CTAB could modify the functional groups of coal, escalating its pore connectivity and average pore diameter, subsequently affecting the coal's wettability, with the ultimate effectiveness influenced by the coal rank and mineral content. Through immersion experiments, Li et al. (Li et al., 2023) compared the influence of clear water, clean fracturing fluid, and acidic fracturing fluid on coal's physical pore structure, ascertaining that the acidic fracturing fluid exhibited the most significant improvement in micro-pore structure. Wang et al. (Wang et al., 2021) developed an acidic clean fracturing fluid using erucic acid, finding this fluid to possess favorable viscosity and filtration properties while altering the functional groups and microstructure of the coal. Balucan et al. (Balucan et al., 2016) researched the impact of hydrochloric and hydrofluoric acids on coal permeability and fracture compressibility, they found that permeability could be enhanced by up to 4.5 times, and fracture compressibility reduced to one-third, attributing these outcomes to large crystalline minerals formed by the acid interacting with the minerals providing structural support to the fractures. He et al. (He et al., 2023) investigated the effects of various types and concentrations of strong acidic fracturing fluids on coal pore structure, revealing a more significant impact on bituminous coal compared to anthracite, with erosion rates and pore structure changes correlating positively with the coal's metamorphic degree. Wang et al. (Wang et al., 2022) analyzed the impact of hydrochloric acid-based acidic fracturing fluid on coal's pore and functional group structures, noting that higher concentrations of hydrochloric acid enhanced the coal's gas adsorption capacity, and positing that a concentration range of 3% \u0026minus;\u0026thinsp;5% yielded the best overall transformative results on coal. Miao et al. (Miao et al., 2023) employed nitric acid and ionic liquid to formulate a transformative fluid to bolster the permeability of coal seams. They discovered that this fluid could augment the coal's pore structure; however, the ionic liquid filling smaller pore fractures could lead to reduced average permeability speeds. Furthermore, several scholars have researched the effects of acidic fracturing fluids on carbonate rocks. Gou et al. (Gou et al., 2021) utilizing CT scanning and three-dimensional reconstruction techniques, compared the fracture morphologies after fracturing with conventional and carbonate-reactive acidic fracturing fluids, uncovering that the hydraulic fractures induced by acidic fluids could extend along natural fractures, forming more complex fracture networks without being constrained by stress. Kao et al. (Kao et al., 2020) discovered through acidic fracturing fluid soaking experiments that the fluid's etching effect on fracture surfaces facilitated the connection of adjacent microfractures and natural pores, leading to fluid loss and consequently diminishing the expansion length of the fractures. Liu et al. (Liu et al., 2022) studied the combined effect of acidic fracturing fluid and pressure on the pore structure and fractures of shale, discerning that pressure could enhance the transformative effects of acidic fracturing fluid on shale, with the joint action altering the extent of pore variations. Liu et al. (Liu et al., 2021) also enhanced the recovery efficiency of coal by fracturing the coal layer's gangue with acidic fracturing fluid, finding post-fracture the acidic solution could dissolve calcite and dolomite in the gangue, thereby increasing the number and complexity of the hydraulic fracture networks formed. Moreover, Che et al. (Che et al., 2023) observed that acidic mine water during its infiltration could increase the number of rock fracture pores, subsequently elevating the rock's damage indicators and surrounding rock stability.\u003c/p\u003e \u003cp\u003eIt can be discerned that acidic fracturing fluids possess substantial advantages in modifying the pore structure and permeability of coal seams. However, current research primarily focuses on the effects of various acidic fracturing fluids on coal pore structure, while their modification impacts on different coal ranks remain ambiguous. This lack of clarity hinders the development of hydraulic fracturing technology. Therefore, this article compares the effects of acidic fracturing fluids on the pore structures of middle to high-rank coals. The findings provide a reference for selecting appropriate acidic fracturing fluids, thereby facilitating the advancement of coalbed methane extraction technologies.\u003c/p\u003e"},{"header":"2 Experimental design","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003e2.1 Samples preparation\u003c/h2\u003e \u003cp\u003eFour coal samples of different metamorphic grades were collected from four different coal mines. The metamorphic grades and basic parameters of the four coal samples were measured, with the maximum reflectance of vitrinite (\u003cem\u003eR\u003c/em\u003e\u003csub\u003e\u003cem\u003eo,max\u003c/em\u003e\u003c/sub\u003e) being 0.72, 1.15, 1.53, and 2.13, respectively. According to ASTM standards, S1, S2, and S3 are classified as medium-volatile bituminous coal, while S4 is classified as high-volatile bituminous coal. Additionally, an industrial analysis was conducted on the four coal samples, and the hardness coefficient and porosity were determined, as detailed in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003cdiv class=\"gridtable\"\u003e\u003ctable float=\"Yes\" id=\"Tab1\" border=\"1\"\u003e \u003ccaption language=\"En\"\u003e \u003cdiv class=\"CaptionNumber\"\u003eTable 1\u003c/div\u003e \u003cdiv class=\"CaptionContent\"\u003e \u003cp\u003eThe basic parameters of the coal samples\u003c/p\u003e \u003c/div\u003e \u003c/caption\u003e \u003ccolgroup cols=\"5\"\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c1\" colnum=\"1\"\u003e\u003c/div\u003e \u003cdiv align=\"left\" class=\"colspec\" colname=\"c2\" colnum=\"2\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c3\" colnum=\"3\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c4\" colnum=\"4\"\u003e\u003c/div\u003e \u003cdiv align=\"char\" char=\".\" class=\"colspec\" colname=\"c5\" colnum=\"5\"\u003e\u003c/div\u003e \u003cthead\u003e \u003ctr\u003e \u003cth align=\"left\" colname=\"c1\"\u003e \u003cp\u003eSample\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c2\"\u003e \u003cp\u003eCoal types\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c3\"\u003e \u003cp\u003e\u003cem\u003eR\u003c/em\u003e\u003csub\u003e\u003cem\u003eo,max\u003c/em\u003e\u003c/sub\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c4\"\u003e \u003cp\u003e\u003cem\u003ef\u003c/em\u003e\u003c/p\u003e \u003c/th\u003e \u003cth align=\"left\" colname=\"c5\"\u003e \u003cp\u003ePorosity/%\u003c/p\u003e \u003c/th\u003e \u003c/tr\u003e \u003c/thead\u003e \u003ctbody\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eS1\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eGas coal\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e0.72\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.55\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e3.71\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eS2\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eFat coal\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.15\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.46\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e2.97\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eS3\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eCoking coal\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e1.53\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.63\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e5.06\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003ctr\u003e \u003ctd align=\"left\" colname=\"c1\"\u003e \u003cp\u003eS4\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"left\" colname=\"c2\"\u003e \u003cp\u003eLean coal\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e \u003cp\u003e2.13\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e \u003cp\u003e0.61\u003c/p\u003e \u003c/td\u003e \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e \u003cp\u003e3.23\u003c/p\u003e \u003c/td\u003e \u003c/tr\u003e \u003c/tbody\u003e \u003c/colgroup\u003e \u003c/table\u003e\u003c/div\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec4\" class=\"Section2\"\u003e \u003ch2\u003e2.2 Experimental process\u003c/h2\u003e \u003cp\u003eFirst, crush the coal samples and sieve out particles of about 3 mm. Then prepare an acidic fracturing fluid in the ratio of 0.5 wt% HCl\u0026thinsp;+\u0026thinsp;0.5 wt% CTAB (Bratcher et al., 2021). According to Yang's research, this acidic fracturing fluid can chemically react with coal to increase the porosity of the coal structure. Next, place 50 g of coal sample and 500 mL of fracturing fluid in a beaker, and then put the beaker in a constant temperature water bath. Set the temperature of the water bath to 40\u0026deg;C. After soaking for 24 hours, rinse the coal sample with clean water and dry it. Finally, analyze the changes in the coal sample's pore structure using high-pressure mercury intrusion and electron microscopy scanning, as shown specifically in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e"},{"header":"3 Experimental results","content":"\u003cdiv id=\"Sec6\" class=\"Section2\"\u003e \u003ch2\u003e3.1 MIP analysis\u003c/h2\u003e \u003cp\u003eThe coal samples were first subjected to mercury intrusion porosimetry to assess changes in the pore structure of the coal samples before and after the action of fracturing fluid. The mercury intrusion and extrusion curves for different coal samples are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cdiv id=\"Sec7\" class=\"Section3\"\u003e \u003ch2\u003e3.1.1 Intrusion volume\u003c/h2\u003e \u003cp\u003eIn order to analyze the alterations in coal sample porosity structures more effectively, the pores are categorized based on their sizes following Hudot's pore size classification standards. This classification categorizes the pores into micropores (\u0026lt;\u0026thinsp;10 nm), transition pores (10\u0026ndash;100 nm), mesopores (100\u0026ndash;1000 nm), and macropores (\u0026gt;\u0026thinsp;1000 nm) (Gan et al., 2024).\u003c/p\u003e \u003cp\u003eFigure\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e illustrates the changes in pore volume before and after the treatment of fracturing fluid. It is observed that the pore volume distribution varies across different coal ranks and pore sizes, but, on the whole, the transition pores and macropores predominate in terms of proportion. Following the treatment of fracturing fluid, there is a notable increase in the pore volume across various coal ranks; fat coal and coking coal exhibit a significant increase, approximately 30%; whereas gas coal and lean coal display a smaller increase, around 15%. The primary reason is the physicochemical reactions between the fracturing fluid and minerals in the coal, such as clay minerals and kaolinite, which result in an enlargement of pore volumes. For gas coal, the increase in the volume of transition pores and macropores post-treatment is evident, with macropores showing marked enlargement. Fat coal, which initially has the smallest pore volume, experiences an increase across all pore sizes after treatment, with the total pore volume increasing by 29%. Transition pores account for the largest proportion and the most significant increase, primarily because the abundant mineral impurities in fat coal react thoroughly with the fracturing fluid, enlarging existing pores and generating many new ones.\u003c/p\u003e \u003cp\u003eCoking coal has the largest pore volume, as well as the greatest change in pore volume, indicating an optimal physicochemical interaction with the fracturing fluid. Here, micropores, transition pores, and macropores are the predominant voids, with the total porosity increasing by 27.7% after treatment. The chemical reactions between the fracturing fluid and surrounding minerals enlarge pores of all sizes, resulting in a decrease in micropores, but a significant increase in transition pores, mesopores, and macropores. This is likely because the coking coal samples, having a large micro-pore volume and surface area, facilitate extensive contact with the fracturing fluid and thereby promoting chemical reactions that substantially enhance the total pore volume. For lean coal, macropores are the dominant pore type, constituting about 50% of the total pore volume. Post-fracturing fluid treatment, the overall increase in pore volume in lean coal is the least (almost 12.5%), with transition pores and macropores showing a notable increase, suggesting a less effective interaction between the fracturing fluid and the coal, mainly expanding existing voids rather than creating new micropores. The minimal impact on lean coal's porosity arises from its lower mineral content, which limits the intensity of chemical reactions with the fracturing fluid, making it difficult to generate additional new pores.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec8\" class=\"Section3\"\u003e \u003ch2\u003e3.1.2 Pore area\u003c/h2\u003e \u003cp\u003eFigure\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e illustrates the changes in pore volume before and after the treatment of fracturing fluid. The surface area of the pores in coal samples of different ranks varies, and the alterations resulting from the fracturing fluid are also distinct. It is observable that the specific surface area of coal samples across various coal ranks initially increases and then decreases. Among these, gas coal has the smallest pore surface area, while coking coal has the largest. The surface area of the pores in different coal ranks is predominantly composed of micropores and transition pores, a characteristic informed by the nature of these specific surface areas. Additionally, it is noted that the pore surface area in both gas coal and fat coal increases by approximately 20% after treatment with fracturing fluid, whereas the surface area in coking coal and lean coal decrease by 6% and 7%, respectively. The reasons for these changes in total surface area are attributed to variations in the surface area of micropores. An increase in the number of new micropores leads to an enlargement of the micropore surface area, thereby increasing the overall surface area. If fewer new micropores are generated, and the existing micropores expand or connect to become transition pores and mesopores, this results in a reduction of the total surface area. The content of mineral impurities within the coal samples plays a decisive role in the effectiveness of the interaction between the fracturing fluid and the coal, with a higher content of impurities facilitating physicochemical reactions with the fracturing fluid. Post-treatment, micropores and transition pores in both gas coal and fat coal exhibit an increase in surface area, primarily because the treatment with fracturing fluid expands existing micropores into transition pores and generates new micropores within the coal. In fat coal, a substantial modification of micropores into transition pores contributes to a significant increase. Conversely, in coking coal and lean coal, the surface area of micropores decreases post-treatment, while the area of transition pores increases. This effect primarily results from the fracturing fluid expanding a vast number of micropores into transition pores, without generating a substantial number of new micropores in the coal.\u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec9\" class=\"Section3\"\u003e \u003ch2\u003e3.1.3 Fractal dimension\u003c/h2\u003e \u003cp\u003eCalculating the distribution of pore sizes can yield the fractal dimension, which in turn allows the assessment of the homogeneity of the pore structure in coal samples. For coal and rock, a higher fractal dimension indicates poorer homogeneity of the pores. Here, the Washburn equation is used to establish a double logarithmic regression equation between pressure and mercury intrusion, which is used to calculate the fractal dimension (Wang et al., 2014), as shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e. The relationship of \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(d{V_P}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(dP\\)\u003c/span\u003e\u003c/span\u003e is described by Eq.\u0026nbsp;\u003cspan refid=\"Equ1\" class=\"InternalRef\"\u003e1\u003c/span\u003e, the fractal dimension can be obtained by piecewise fitting the data.\u003cdiv id=\"Equ1\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ1\" name=\"EquationSource\"\u003e\n$$\\log ( - d{V_P}/dP)=(D - 4)\\log (P)$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e1\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eWhere \u003cem\u003eV\u003c/em\u003e\u003csub\u003e\u003cem\u003eP\u003c/em\u003e\u003c/sub\u003e is the cumulative mercury intake when the pressure is P, mL/g; \u003cem\u003eD\u003c/em\u003e\u0026thinsp;=\u0026thinsp;A\u0026thinsp;+\u0026thinsp;4, where A is the slope of Eq.\u0026nbsp;(\u003cspan refid=\"Equ1\" class=\"InternalRef\"\u003e1\u003c/span\u003e); \u003cem\u003eD\u003c/em\u003e is the fractal dimension, and the smaller \u003cem\u003eD\u003c/em\u003e is, the greater the homogeneity.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eIt has been observed that the fractal dimensions of coal samples across different coal ranks exhibit minimal variation. Among them, fat coal possesses the highest fractal dimension at 2.269, while gas coal, coking coal, and lean coal have similar fractal dimensions, approximately 2.0. Post-fracturing fluid treatment, the fractal dimensions of the coal pores remain largely unchanged, with a slight increase in gas coal and minor reductions in fat coal, coking coal, and lean coal. This suggests that the interaction of fracturing fluid with coal primarily expands existing pore sizes or generates new pores without significantly affecting the overall distribution and connectivity of pores of varying sizes.\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e \u003cdiv id=\"Sec10\" class=\"Section2\"\u003e \u003ch2\u003e3.2 LT-N\u003csub\u003e2\u003c/sub\u003eA\u003c/h2\u003e \u003cdiv id=\"Sec11\" class=\"Section3\"\u003e \u003ch2\u003e3.2.1 Pore structure\u003c/h2\u003e \u003cp\u003eComparative analyses of nitrogen adsorption data from different grades of coal reveal significant disparities. These variations primarily arise during the coal formation process, wherein the porous structure, size, and distribution of the pores evolve with coal rank. Generally, the higher the coal rank, the fewer the pores observed: a trend that is consistent across the four coal types studied in the experiment. Furthermore, the nitrogen adsorption/desorption isotherms exhibit notable differences among different ranks, influenced significantly by the form of the pores. According to standards set by the IUPAC (He et al., 2023), adsorption isotherms and hysteresis loops can be classified into six types each, as demonstrated in Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003e, with isotherms ranging from Type I to VI, and hysteresis loops from H1 to H5. It is observable that the isotherms for different grades of coal before and after modification fall between Types III and IV, predominantly characterized by adsorption hysteresis loops in the middle range, although the rise in the low-pressure phase of the isotherm exhibits a slight protuberance that is not markedly prominent. The emergence of these hysteresis loops is primarily due to capillary condensation within diverse pore forms during the multilayer adsorption process. These loops definitively belong to Type H3, indicating the presence of pore types such as flat slit structures, cracks, and wedge-shaped configurations, which are not completely filled and do not exhibit adsorption saturation even in higher relative pressure zones.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eAs illustrated in Fig.\u0026nbsp;\u003cspan refid=\"Fig7\" class=\"InternalRef\"\u003e7\u003c/span\u003e, a comparison reveals that the adsorption isotherms of different grades of coal, before and after modification, are rather similar except that the N\u003csub\u003e2\u003c/sub\u003e adsorption volume slightly increases, accompanied by more pronounced hysteresis loops. This change is mainly due to the chemical reactions between the acidic fracturing fluid and the mineral impurities within the coal, leading to the dissolution of minerals originally embedded within the coal structure. These reactions result in the formation of new pores and the enlargement of existing ones. Regardless of the scenario, these changes result in an increased presence of open pores within the coal, including a significant proportion of slit or parallel plate pores, ultimately altering the adsorption isotherms pre and post- treatment. For fat coal and coking coal, the smaller hysteresis loops indicate the presence of only a few slit or plate pores alongside numerous poorly interconnected pores, such as wedge-shaped pores. Particularly for coking coal, the modification induced by acidic fracturing fluid is the most pronounced: initially subtle hysteresis loops become significantly more evident post-treatment, suggesting the most effective chemical modification achieved by the fracturing fluid. Additionally, the variations in the hysteresis loops, indicated by differing inflection points near relative pressure 0.5, also imply varying quantities of ink-bottle shaped pores within the coal samples. This type of pore displays slow desorption at higher pressures, and rapid release of condensed nitrogen inside the pore when the relative pressure decreases to below 0.5, which is a contributing factor to the inflection in the desorption curve. Overall, post-fracturing fluid treatment results in minimal changes in lean coal, the largest adsorption capacity change in fat coal, and the most significant alteration in pore structural type in coking coal.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec12\" class=\"Section3\"\u003e \u003ch2\u003e3.2.2 Fractal dimension\u003c/h2\u003e \u003cp\u003eIn order to quantitatively analyze the pore structure of coal, we calculated the fractal dimension of coal pores based on the Frenkel-Halsey-Hill (FHH) model (Jing et al., 2018). Eq.\u0026nbsp;(\u003cspan refid=\"Equ2\" class=\"InternalRef\"\u003e2\u003c/span\u003e) is the FHH model. Moreover, according to the nitrogen adsorption-desorption curve previously mentioned, it can be seen that there are a significant number of ink bottle-shaped pores in the coal, which causes a sudden change in the desorption curve at a certain pressure point. To calculate the fractal dimensions reasonably, we will divide the fractal dimensions into two intervals based on pressure size: the results for relative pressures greater than 0.5 are marked as fractal dimension D\u003csub\u003e1\u003c/sub\u003e, and the results for relative pressures less than 0.5 are marked as fractal dimension D\u003csub\u003e2\u003c/sub\u003e. Since the pore diameter corresponding to a relative pressure of 0.5 is about 4.5 nm, the fractal dimension for pores ranging from 4.5 to 100 nm is D\u003csub\u003e1\u003c/sub\u003e, while that for pores ranging from 2.0 to 4.5 nm is D\u003csub\u003e2\u003c/sub\u003e.\u003cdiv id=\"Equ2\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ2\" name=\"EquationSource\"\u003e\n$$\\ln \\left( {V/{V_0}} \\right)={\\text{C}}+A\\left[ {\\ln \\left( {\\ln \\left( {{P_0}/P} \\right)} \\right)} \\right]$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e2\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eWhere \u003cem\u003eV\u003c/em\u003e is the nitrogen adsorption amount, mL/g; \u003cem\u003eV\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e is the monolayer adsorption amount of nitrogen at standard temperature and pressure (ml/g); \u003cem\u003eP\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e is the vapor pressure of nitrogen, MPa; \u003cem\u003eP\u003c/em\u003e is the pressure, MPa; C is the constant and A is the slope of the fitted line. The fractal dimension is \u003cem\u003eA\u003c/em\u003e\u0026thinsp;+\u0026thinsp;3. The fractal dimension is generally between 2\u0026thinsp;~\u0026thinsp;3, and the closer to 2, the smoother the pores.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eFrom the data-fitted structures yielding fractal dimensions D\u003csub\u003e1\u003c/sub\u003e and D\u003csub\u003e2\u003c/sub\u003e, it is evident that for a given coal sample, D\u003csub\u003e1\u003c/sub\u003e is noticeably greater than D\u003csub\u003e2\u003c/sub\u003e, a pattern consistent across all samples (Fig.\u0026nbsp;\u003cspan refid=\"Fig8\" class=\"InternalRef\"\u003e8\u003c/span\u003e). As fractal dimensions typically range between 2 and 3, with D\u003csub\u003e1\u003c/sub\u003e values commonly around 2.5, this dimension serves to assess the roughness of the pore surfaces and the complexity of the pore structures. However, more than half of the D\u003csub\u003e2\u003c/sub\u003e values fall below 2, thereby rendering it unsuitable for quantitative assessments of porosity. Furthermore, the R\u003csup\u003e2\u003c/sup\u003e values for D\u003csub\u003e1\u003c/sub\u003e are predominantly above 0.9, indicating a high level of reliability in these measurements, hence only D\u003csub\u003e1\u003c/sub\u003e is analyzed here.\u003c/p\u003e \u003cp\u003ePost-treatment with acidic fracturing fluid, there is a slight increase in D\u003csub\u003e1\u003c/sub\u003e values across all coal samples. This implies that the acidic fracturing fluid enhances the roughness of the pore surfaces and the complexity of the pore structures, particularly in the larger pores. We theorize that the mineral particles embedded within the coal contribute to its dense appearance and low porosity. The chemical reactions between the acidic fracturing fluid and these mineral particles expose the originally filled pores, primarily driving the increased complexity in the pore structures of the coal samples.\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e \u003cdiv id=\"Sec13\" class=\"Section2\"\u003e \u003ch2\u003e3.3 SEM\u003c/h2\u003e \u003cp\u003eTo observe the pore structure of coal samples of different coal ranks more intuitively after treatment, scanning electron microscopy (SEM) was performed on coal samples before and after treatment. The specific results are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig9\" class=\"InternalRef\"\u003e9\u003c/span\u003e. The SEM images represent only a very small area of the coal sample, which might lead to some discrepancies with the results obtained by other testing methods. However, these images do provide a certain degree of insight into the experimental results. It can be observed that there are significant differences in the surface and pore structures of the raw coal samples from different coal ranks. These differences are mainly due to the varying degrees of coalification during the coal formation process. For the raw coal samples, the S1 sample, which is of a lower coal rank, contains more mineral impurities and has a more complex surface structure compared to the other three samples, which have relatively smoother surfaces. However, the S4 sample exhibits noticeable layering on its surface, indicating the presence of partial crystallization and a higher degree of coalification. After the action of the fracturing fluid, the overall pore structures of the coal samples show varying degrees of change, with an increase in both the number and size of the pores. Before treatment, the coal sample surfaces had a certain amount of mineral particle attachments and fewer pores. After treatment with acidic fracturing fluid, the number of attached particles decreased significantly, and the number of surface pores increased noticeably. Regarding the specific effects of the fracturing fluid, the pore structure of the coking coal showed relatively larger changes, while the lean coal exhibited smaller changes. The coking coal and fat coal showed a considerable number of newly formed pores on their surfaces, whereas fewer new pores were observed in the gas coal and lean coal, which is somewhat consistent with the results of the MIP experiment.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e"},{"header":"4 Discussion","content":"\u003cdiv id=\"Sec15\" class=\"Section2\"\u003e \u003ch2\u003e4.1 Changes of pore structure of coal samples\u003c/h2\u003e \u003cp\u003eDuring the coalification process, influenced by temperature and stress, the internal and molecular structures of coal undergo modification resulting in changes in porosity. In the experiments conducted on four types of coal samples, all demonstrated an increase in pore volume post-fracturing fluid treatment, with coking coal (\u003cem\u003eR\u003c/em\u003e\u003csub\u003e\u003cem\u003emax\u003c/em\u003e\u003c/sub\u003e = 1.5) exhibiting the largest pore volume. Due to alterations in pore sizes during coal formation and influenced by the laws of specific surface area and pore volume, coking coal (\u003cem\u003eR\u003c/em\u003e\u003csub\u003e\u003cem\u003emax\u003c/em\u003e\u003c/sub\u003e = 1.5) also presented the largest pore surface area. After treatment with fracturing fluid, total pore surface area increased in gas coal and fat coal, while it decreased in coking coal and lean coal. This is largely attributed to changes in the dimensions of the coal\u0026rsquo;s pores post-fracturing fluid treatment, particularly noticeable in coking coal and lean coal where the average pore size significantly increased, thus reducing overall pore surface area despite an increase in pore volume. Additionally, the average pore size in coal tends to decrease and then increase as the rank progresses.\u003c/p\u003e \u003cp\u003eThe permeability in mercury injection data is calculated according to pore distribution, capillary force, pore throat, etc. There is a certain error with the real value, but it can also indicate the change of coal sample permeability to a certain extent. As depicted in Fig.\u0026nbsp;\u003cspan refid=\"Fig10\" class=\"InternalRef\"\u003e10\u003c/span\u003e, post-fracturing fluid treatment, permeability in all coal samples increased to varying degrees, gas coal and fat coal experienced smaller increments (about 50%), whereas coking coal saw a threefold increase. As \u003cem\u003eR\u003c/em\u003e\u003csub\u003e\u003cem\u003emax\u003c/em\u003e\u003c/sub\u003e increases, the tortuosity and fractal dimensions of both unaltered and modified coal samples exhibited an initial increase followed by a decrease. Tortuosity represents the ease of passage through channels, indicating the resistance within these pathways. Coking coal showed the highest initial tortuosity, which decreased after fracturing fluid treatment, with the largest reduction observed in coking coal, and the highest post-treatment tortuosity noted in fat coal, likely due to changes in coal pore sizes. In terms of fractal dimensions, which describe the complexity of the pore structures, there was minimal change before and after treatment, with only fat coal showing an increase, while the others decreased. Among these, fat coal consistently had the highest fractal dimension.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eMoreover, an analysis of the coal pore structure was conducted based on nitrogen adsorption data, as illustrated in Fig.\u0026nbsp;\u003cspan refid=\"Fig11\" class=\"InternalRef\"\u003e11\u003c/span\u003e. With increasing coal rank, certain similarities in trends were observed, albeit with notable differences, primarily due to disparities between high-pressure mercury intrusion and liquid nitrogen adsorption methodologies. The former measures pores by quantifying the mercury injected into coal pores from larger to smaller sizes, covering a range from 5 nm to 340,000 nm. Conversely, the liquid nitrogen adsorption technique calculates porosity based on the amount of nitrogen adsorbed, focusing first on smaller pores, with a measured range of 2 nm to 500 nm. Specifically, post-acidic fracturing fluid treatment, nitrogen adsorption in coal samples increased, with gas coal and fat coal showing more significant rises of 40% and 56%, respectively, attributed to higher mineral content in lower-rank coals. Regarding average pore size, samples displayed a decrease followed by an increase pre and post-treatment, with coking coal consistently showing the lowest values. Gas coal and fat coal exhibited a decreasing trend in average pore size, whereas lean coal showed an increase (about 14%), influenced by mineral content dictating new pore formation and thereby affecting average pore sizes. As coal rank increased, fractal dimension D\u003csub\u003e1\u003c/sub\u003e also showed a trend of initial increase followed by decrease, with the peak at coking coal. This likely correlates with pore volume and average pore size; coking coal had a larger pore volume and smaller average pore size, indicating a greater number of very small pores, likely contributing to a more complex pore surface roughness. After acidic fracturing fluid treatment, all coal samples saw increases in fractal dimension D\u003csub\u003e1\u003c/sub\u003e, with the most substantial increase in lean coal, about 6%. When combining mercury intrusion and liquid nitrogen adsorption data, the transformative effects of acidic fracturing fluid were most effective in gas coal and coking coal.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003c/div\u003e \u003cdiv id=\"Sec16\" class=\"Section2\"\u003e \u003ch2\u003e4.2 The reason of pore change\u003c/h2\u003e \u003cp\u003eCoal is composed of a mixture of elements including carbon, hydrogen, oxygen, nitrogen, and sulfur. Throughout geological movements and the coal formation process, minerals such as Calcite (CaCO\u003csub\u003e3\u003c/sub\u003e), Kaolinite (AlSi\u003csub\u003e4\u003c/sub\u003eO\u003csub\u003e10\u003c/sub\u003e(OH)\u003csub\u003e8\u003c/sub\u003e), and Dolomite (CaMg(CO\u003csub\u003e3\u003c/sub\u003e)\u003csub\u003e2\u003c/sub\u003e) have formed within coal and are prevalent throughout coal seams (Li et al., 2022). According to basic chemical principles, the hydrogen ions present in acidic fracturing fluids engage in complex chemical reactions with minerals such as Calcite and Dolomite in coal, thereby dissolving these minerals, as described in Eq.\u0026nbsp;(\u003cspan refid=\"Equ3\" class=\"InternalRef\"\u003e3\u003c/span\u003e\u0026ndash;\u003cspan refid=\"Equ6\" class=\"InternalRef\"\u003e6\u003c/span\u003e). The organic matter within coal, however, is composed of complex high-molecular-weight organic compounds that have a higher activation barrier, making them more resistant to reactions with hydrogen ions. Moreover, variations in mineral composition, porosity, and the complexity of pore structures among different ranks of coal contribute to differing impacts from the interactions with fracturing fluids.\u003cdiv id=\"Equ3\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ3\" name=\"EquationSource\"\u003e\n$${\\text{CaC}}{{\\text{O}}_{\\text{3}}}+{{\\text{H}}^+} \\to {\\text{C}}{{\\text{O}}_{\\text{2}}}+{\\text{C}}{{\\text{a}}^{2+}}+{{\\text{H}}_{\\text{2}}}{\\text{O}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e3\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ4\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ4\" name=\"EquationSource\"\u003e\n$${\\text{F}}{{\\text{e}}_{\\text{2}}}{{\\text{O}}_{\\text{3}}}+{{\\text{H}}^+} \\to {\\text{F}}{{\\text{e}}^{2+}}+{{\\text{H}}_{\\text{2}}}{\\text{O}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e4\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ5\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ5\" name=\"EquationSource\"\u003e\n$${\\text{CaMg}}{\\left( {{\\text{C}}{{\\text{O}}_3}} \\right)_2}+{{\\text{H}}^+} \\to {\\text{C}}{{\\text{a}}^{2+}}+{\\text{M}}{{\\text{g}}^{2+}}+{\\text{C}}{{\\text{O}}_{\\text{2}}}+{{\\text{H}}_{\\text{2}}}{\\text{O}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e5\u003c/div\u003e\u003c/div\u003e\u003cdiv id=\"Equ6\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ6\" name=\"EquationSource\"\u003e\n$${\\text{A}}{{\\text{l}}_{\\text{4}}}{\\text{S}}{{\\text{i}}_{\\text{4}}}{{\\text{O}}_{\\text{5}}}{\\left( {{\\text{OH}}} \\right)_4}+{{\\text{H}}^+} \\to {\\text{A}}{{\\text{l}}^{3+}}+{\\text{S}}{{\\text{i}}^{4+}}+{{\\text{H}}_{\\text{2}}}{\\text{O}}$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e6\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003c/div\u003e"},{"header":"5 Conclusion","content":"\u003cp\u003eAcidic fracturing fluids are capable of modifying the microporous structures in coal of different ranks, though the effectiveness of these modifications varies. Analysis via high-pressure mercury intrusion and nitrogen adsorption methods reveals the following results:\u003c/p\u003e \u003cp\u003e(\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e) Post-treatment with acidic fracturing fluids, the pore volume within coal samples of varying ranks increases, by up to 30%, though variations according to pore size distribution are observed. Overall, transition pores and macropores, which form a significant proportion and are evidently affected the most by the acidic fracturing fluids.\u003c/p\u003e \u003cp\u003e(\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e) The surface area of coal samples across different ranks is predominantly composed of micropores and transition pores. The acidic fracturing fluids facilitate the formation of new micropores, enhancing the surface area of gas coal and fat coal by approximately 20%, while reducing the surface area of coking coal and lean coal by about 5% and 7%, respectively.\u003c/p\u003e \u003cp\u003e(\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e) The new micropores created in the coal by acidic fracturing fluids increase the roughness of the fracture faces; however, the widening of original fractures reduces the tortuosity of these channels. Notably, lean coal exhibits the greatest increase in fractal dimensions for about 6%, with other ranks of coal showing minimal change.\u003c/p\u003e \u003cp\u003e(\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e) Acidic fracturing fluids alter both the size and shape of coal's pore structures, although the transformative effects do not display a linear relationship with coal rank. Overall, acidic fracturing fluids yield the most favorable outcomes in modifying gas coal and coking coal.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e \u003ch2\u003eDeclaration of competing interest\u003c/h2\u003e \u003cp\u003eThe authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.\u003c/p\u003e \u003c/p\u003e\u003cp\u003e \u003ch2\u003eEthical statement\u003c/h2\u003e \u003cp\u003eThis article does not deal with human and animal experimentation.\u003c/p\u003e \u003c/p\u003e\u003cp\u003e \u003ch2\u003eCredit authorship contribution statement\u003c/h2\u003e \u003cp\u003eZhao Kang: Writing-Original draft preparation, Conceptualization, Methodology. Li Liangwei: Writing-review and editing, Resources, Visualization, Supervision. Li Kun: Data curation, Software, Visualization, Investigation. Zuo Shaojie: Writing-review and editing, Resources, Methodology. Jiang Zhizhong: Supervision, Investigation.\u003c/p\u003e \u003c/p\u003e\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eZhao Kang: Writing-Original draft preparation, Conceptualization, Methodology. Li Liangwei: Writing-review and editing, Resources, Visualization, Supervision. Li Kun: Data curation, Software, Visualization, Investigation. Zuo Shaojie: Writing-review and editing, Resources, Methodology. Jiang Zhizhong: Supervision, Investigation.\u003c/p\u003e\u003ch2\u003eAcknowledgments\u003c/h2\u003e \u003cp\u003eThis study was financially supported by the National Natural Science Foundation of China (No. 52304129), Guizhou Provincial Science and Technology Projects (ZK[2023] general 070), Natural Science Talents Fund Project of Guizhou University (Grant No. 2021064).\u003c/p\u003e\u003ch2\u003eData Availability\u003c/h2\u003e\u003cp\u003eThe datasets used and analysed during the current study available from the corresponding author on reasonable request.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eBalucan, R. D., Turner, L. G. \u0026amp; Steel, K. M. Acid-induced mineral alteration and its influence on the permeability and compressibility of coal. \u003cem\u003eJ. Nat. Gas Sci. 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(306). \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://doi.org/10.1016/j.energy.2024.132436\u003c/span\u003e\u003cspan address=\"10.1016/j.energy.2024.132436\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e (2024).\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\n"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Acid fracturing fluid, Pore structure, Middle and high rank coal, Coal seam gas, Experimental research","lastPublishedDoi":"10.21203/rs.3.rs-5082968/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5082968/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAcid fracturing fluids can effectively improve the microporous structure of coal, thereby enhancing the permeability of coal seam and the efficiency of gas drainage. To explore the effects of acid fracturing fluids on the pore structure modification of coal samples from different coal ranks, hydrochloric acid-based acid fracturing fluids were prepared and used to soak four types of medium to high-rank coal in an experiment. High-pressure mercury intrusion and liquid nitrogen adsorption techniques results demonstrated that the acid fracturing fluid can effectively alter the pore structure of coal. However, the modification effect does not exhibit a linear relationship with coal rank. The porosity of fat coal and coking coal increased by approximately 30%, while the surface area of gas coal and fat coal increased by about 20%. The new micropores produced by the acid fracturing fluid will increase the roughness of the fracture surface, but the widening of the original fracture will reduce the tortuosity of the fracture. Only the fractal dimension of lean coal has a significant change, about 6%. Overall, acid fracturing fluid has the best effect on gas coal and coking coal. The research results provide a reference for the selection and application of acid fracturing fluid in coal seam hydraulic fracturing.\u003c/p\u003e","manuscriptTitle":"Study on the effect of acid fracturing fluid on pore structure of middle to high rank coal","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-12-04 17:40:59","doi":"10.21203/rs.3.rs-5082968/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-11-19T19:41:18+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-11-13T10:20:16+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-11-07T05:51:45+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"45603691437938461207288037392579161254","date":"2024-10-29T02:52:56+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"145234245654057545550484998777851858410","date":"2024-10-28T04:51:09+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-10-02T08:35:05+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-10-01T03:33:56+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2024-09-30T08:59:55+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-09-26T09:25:01+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2024-09-13T10:12:39+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"ec22f071-94cb-41ff-a63b-84f868543f98","owner":[],"postedDate":"December 4th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":40488213,"name":"Physical sciences/Energy science and technology/Fossil fuels/Coal"},{"id":40488214,"name":"Physical sciences/Energy science and technology/Fossil fuels/Natural gas"}],"tags":[],"updatedAt":"2025-01-20T16:10:35+00:00","versionOfRecord":{"articleIdentity":"rs-5082968","link":"https://doi.org/10.1038/s41598-024-85007-6","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2025-01-15 15:57:52","publishedOnDateReadable":"January 15th, 2025"},"versionCreatedAt":"2024-12-04 17:40:59","video":"","vorDoi":"10.1038/s41598-024-85007-6","vorDoiUrl":"https://doi.org/10.1038/s41598-024-85007-6","workflowStages":[]},"version":"v1","identity":"rs-5082968","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5082968","identity":"rs-5082968","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

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