Design Expert-Based RMS for Optimization of Oil Drilling Mechanical Parameters Based on the Penetration Rate Model: Mathematical Modeling and Statistical Analysis

Design Expert-Based RMS for Optimization of Oil Drilling Mechanical Parameters Based on the Penetration Rate Model: Mathematical Modeling and Statistical Analysis | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Design Expert-Based RMS for Optimization of Oil Drilling Mechanical Parameters Based on the Penetration Rate Model: Mathematical Modeling and Statistical Analysis Abdelkader KHENTOUT, Rym KHETTABI, KEZZAR Mohamed, Nabil Talbi, and 5 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7161132/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In modern times, many manufacturing processes and laboratory experiments are becoming increasingly intricate as they rely on a multitude of variables that are hard to intuitively manipulate. To make sense of and model such complex phenomena, the design of experiments methodology is one of the most effective approaches. In the current report, the Surface Response Method (RSM) was adopted to assess how different drilling mechanical parameters affect the Rate of Penetration (ROP). The main goal is to explore the behavior of ROP when various mechanical drilling parameters, including weight on the bit (WOB), rotational speed of the bit (RPM), and cutting angle (β), are altered. The investigation covers two types of limestone rocks, and the gathered data is statistically analyzed using ANOVA to develop a mathematical model that explains the relationship between the different parameters and the rate of advancement, using the Response Surface Method (RSM). The results demonstrate that the WOB factor has the most significant influence on ROP development for both rock types, compared to other factors. Applying an optimization method is likely to control the optimal parameters for the drill's rational operation regime. The model developed in this study accurately fits the data and is therefore valuable in predicting the response. The technical reason that prompted us to conduct this scientific research is the excessive and continuous alteration of mechanical parameters in the drilling machine WOB (80,120,160 kgf), RPM (118, 135, 152 rpm), β (3°, 8°, 45°), aimed at maintaining an advanced drilling rate and ensuring the safety of its components. Therefore, it is aimed to reduce this continuous alteration while achieving the same or better results. Each parameter can be limited to a single level to achieve the same or better results. For the first rock A, the parameters are (WOB = 80.632, RPM = 118.959rpm, β = 23.016°) and for the second rock B, the parameters are (WOB = 136.418kgf, RPM = 147.911rpm, β = 40.911°). Optimization Drilling Parameters Response Surface Method Experimental Design Penetration rate Full Text Cite Share Download PDF Status: Posted Version 1 posted 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. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-7161132","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":489194553,"identity":"0a90567e-5f1f-48f8-b55e-34e561ff057b","order_by":0,"name":"Abdelkader KHENTOUT","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Abdelkader","middleName":"","lastName":"KHENTOUT","suffix":""},{"id":489194554,"identity":"81a28bc7-bf48-4574-b6de-150966e349f0","order_by":1,"name":"Rym KHETTABI","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Rym","middleName":"","lastName":"KHETTABI","suffix":""},{"id":489194555,"identity":"3f37b90a-807c-4c72-8171-040e6ade753f","order_by":2,"name":"KEZZAR Mohamed","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyklEQVRIiWNgGAWjYBACgwNQBj8DAxtxWgwboAzJBmK1GCNZR6QWM/b2xx9+7mGINr6R/OzBhwoGeX6xA/i12PAcSDDsecaQu+1GmrnhjDMMhjNnJxDQIpFwIIHnAEhLgpk0bxtDgsFtAlrM5B82HPwD1LJ5Rvo34rQYSzAzNoNs2SCRQ6Qthj1pzMwyQC0zzrwpk5xxRoKwXwyOH3/88Q1QS397+jaJDxU28vzSBLRAwX8GBgGwSgmilEMB/wFSVI+CUTAKRsFIAgCD10NHjhI6lQAAAABJRU5ErkJggg==","orcid":"","institution":"Universite du 20 aout 1955 de Skikda","correspondingAuthor":true,"prefix":"","firstName":"KEZZAR","middleName":"","lastName":"Mohamed","suffix":""},{"id":489194556,"identity":"450d0f7d-40f3-44f2-a6d9-c1ddbdb7768d","order_by":3,"name":"Nabil Talbi","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Nabil","middleName":"","lastName":"Talbi","suffix":""},{"id":489194557,"identity":"ca10a0cc-c879-4cdf-8982-a8405a9fcfb7","order_by":4,"name":"Mohamed Rafik SARI","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Mohamed","middleName":"Rafik","lastName":"SARI","suffix":""},{"id":489194558,"identity":"44e1d7f2-5817-422e-b3f9-5667b675623c","order_by":5,"name":"Abdellatif M. 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To make sense of and model such complex phenomena, the design of experiments methodology is one of the most effective approaches. In the current report, the Surface Response Method (RSM) was adopted to assess how different drilling mechanical parameters affect the Rate of Penetration (ROP). The main goal is to explore the behavior of ROP when various mechanical drilling parameters, including weight on the bit (WOB), rotational speed of the bit (RPM), and cutting angle (β), are altered. The investigation covers two types of limestone rocks, and the gathered data is statistically analyzed using ANOVA to develop a mathematical model that explains the relationship between the different parameters and the rate of advancement, using the Response Surface Method (RSM). The results demonstrate that the WOB factor has the most significant influence on ROP development for both rock types, compared to other factors. Applying an optimization method is likely to control the optimal parameters for the drill's rational operation regime. The model developed in this study accurately fits the data and is therefore valuable in predicting the response. The technical reason that prompted us to conduct this scientific research is the excessive and continuous alteration of mechanical parameters in the drilling machine WOB (80,120,160 kgf), RPM (118, 135, 152 rpm), β (3\u0026deg;, 8\u0026deg;, 45\u0026deg;), aimed at maintaining an advanced drilling rate and ensuring the safety of its components. Therefore, it is aimed to reduce this continuous alteration while achieving the same or better results. Each parameter can be limited to a single level to achieve the same or better results. For the first rock A, the parameters are (WOB\u0026thinsp;=\u0026thinsp;80.632, RPM\u0026thinsp;=\u0026thinsp;118.959rpm, β\u0026thinsp;=\u0026thinsp;23.016\u0026deg;) and for the second rock B, the parameters are (WOB\u0026thinsp;=\u0026thinsp;136.418kgf, RPM\u0026thinsp;=\u0026thinsp;147.911rpm, β\u0026thinsp;=\u0026thinsp;40.911\u0026deg;).\u003c/p\u003e","manuscriptTitle":"Design Expert-Based RMS for Optimization of Oil Drilling Mechanical Parameters Based on the Penetration Rate Model: Mathematical Modeling and Statistical Analysis","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-07-24 18:13:17","doi":"10.21203/rs.3.rs-7161132/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"f54e36f0-bd0e-4d59-bbd1-7e06b9ad2ef1","owner":[],"postedDate":"July 24th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-08-22T12:38:01+00:00","versionOfRecord":[],"versionCreatedAt":"2025-07-24 18:13:17","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7161132","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7161132","identity":"rs-7161132","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}