Energy Evolution Mechanism of Hard Roof of Working Face Adjacent to Goaf after Hydraulic Fracturing and Application

Energy Evolution Mechanism of Hard Roof of Working Face Adjacent to Goaf after Hydraulic Fracturing and Application | 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 Article Energy Evolution Mechanism of Hard Roof of Working Face Adjacent to Goaf after Hydraulic Fracturing and Application Xinxue Liu, Hao Liu, Jiaxu Dong, Wenbin Sun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8089454/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 23 Jan, 2026 Read the published version in Scientific Reports → Version 1 posted 11 You are reading this latest preprint version Abstract To solve the unclear energy evolution mechanism and uncertain fracturing effects in hydraulic fracturing of coal seams adjacent to goafs, this study explored hydraulic fracturing’s influence on roof energy release via theoretical analysis, proposed the optimal fracturing location to mitigate inter-roof energy transfer, and clarified fractures’ regulatory effects on key strata through particle flow numerical simulation. Combined with field tests, it revealed the fractured roof energy evolution law: key stratum movement triggers energy release, and fracturing-induced elastic energy converts to gravitational potential energy via segmented subsidence. Calculations show energy release is reduced by 95% (to 35133.16 J) versus the unfractured condition. The optimal fracturing location is within 31.2 m of the return air roadway. Numerical simulation and field data confirm hydraulic fracturing promotes fracture development, alters stratum movement, reduces abutment pressure and high-energy microseismic events, and alleviates stress concentration, ensuring safe and efficient coal mine production. Physical sciences/Energy science and technology Physical sciences/Engineering Earth and environmental sciences/Solid earth sciences Working face adjacent to goaf hydraulic fracturing energy evolution mechanism fracturing location numerical simulation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 23 Jan, 2026 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 08 Dec, 2025 Reviews received at journal 01 Dec, 2025 Reviews received at journal 18 Nov, 2025 Reviewers agreed at journal 16 Nov, 2025 Reviewers agreed at journal 15 Nov, 2025 Reviewers agreed at journal 14 Nov, 2025 Reviewers invited by journal 14 Nov, 2025 Editor invited by journal 14 Nov, 2025 Editor assigned by journal 11 Nov, 2025 Submission checks completed at journal 11 Nov, 2025 First submitted to journal 11 Nov, 2025 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-8089454","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":546919982,"identity":"8281ce62-5648-4741-bc6d-3d4927816f48","order_by":0,"name":"Xinxue Liu","email":"","orcid":"","institution":"Shandong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Xinxue","middleName":"","lastName":"Liu","suffix":""},{"id":546919983,"identity":"9c76592e-72ec-4cc4-b300-26995a4d1262","order_by":1,"name":"Hao Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVRIie3RsYrCQBCA4VkW1mZRyxHFvMIeQrDwYTYI2wmWORCMIElx2tv5CtpZRha2WrG1M/Y2dhbHnVorSews9qvnhxkGwHE+EPP2lwzD3ngJ20kmw1FxUkXoiK5VZD3RWmTWFCdtBL/+HWsSaaMapyktsVgzUnBglJLY+mEQMaglPzI/aaXmtOCMVbj1D8GmBWh3q/wEgqSDyDlZPBLLQOCgKOmz5q9AhOPZHwYxLZGgYohSCEiNgnIJt1RgKuVXpDVKa3jhLV4yI1nj719691deruGoXUvm+ckT/t644ziO89INbe9LnddKlYIAAAAASUVORK5CYII=","orcid":"","institution":"Shandong University of Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Hao","middleName":"","lastName":"Liu","suffix":""},{"id":546919984,"identity":"c1717be6-f752-49ee-99ed-1c68eb645c00","order_by":2,"name":"Jiaxu Dong","email":"","orcid":"","institution":"Shandong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Jiaxu","middleName":"","lastName":"Dong","suffix":""},{"id":546919985,"identity":"b7c24037-dfc4-4b9a-810b-0c6f8aecdbf7","order_by":3,"name":"Wenbin Sun","email":"","orcid":"","institution":"Shandong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Wenbin","middleName":"","lastName":"Sun","suffix":""}],"badges":[],"createdAt":"2025-11-11 18:08:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8089454/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8089454/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-026-36520-3","type":"published","date":"2026-01-23T15:58:53+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":96915429,"identity":"e6081979-caa2-4734-ad7a-320b56b3065b","added_by":"auto","created_at":"2025-11-27 14:07:14","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":6343757,"visible":true,"origin":"","legend":"","description":"","filename":"Figures.docx","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/b003da1c3744a758985cd2b2.docx"},{"id":96770110,"identity":"0d7c4a85-83a0-4052-8139-b213d9d82fff","added_by":"auto","created_at":"2025-11-25 23:50:16","extension":"doc","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":142712832,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript11.113.doc","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/59a60c1f6bb62495ee5bf17a.doc"},{"id":96915734,"identity":"529fd00c-7798-47fa-9e6e-ed500d85e322","added_by":"auto","created_at":"2025-11-27 14:07:35","extension":"docx","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":17665,"visible":true,"origin":"","legend":"","description":"","filename":"tables.docx","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f051375ab089c883166c8927.docx"},{"id":96915968,"identity":"0b2beed4-bab7-4b87-9fa2-9dbd6b772da5","added_by":"auto","created_at":"2025-11-27 14:07:50","extension":"json","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5362,"visible":true,"origin":"","legend":"","description":"","filename":"7bdea22b76f44ba9a748e9fcb6931e3a.json","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/61ade97b8dfc683064b302fa.json"},{"id":96914973,"identity":"08990e7b-68de-40ad-bb7a-c761b5fde47f","added_by":"auto","created_at":"2025-11-27 14:06:41","extension":"xml","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":131816,"visible":true,"origin":"","legend":"","description":"","filename":"7bdea22b76f44ba9a748e9fcb6931e3a1enriched.xml","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/cc712e6bc6d2c2becd3e94b4.xml"},{"id":96915703,"identity":"10c9381b-b5a4-4fc2-a1e7-4afb19dd5540","added_by":"auto","created_at":"2025-11-27 14:07:33","extension":"wmf","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1640,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage1.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/9db28892e9921db7799cd1ae.wmf"},{"id":96770099,"identity":"0d669439-3ca4-479c-a9de-87f275cdbe17","added_by":"auto","created_at":"2025-11-25 23:50:14","extension":"wmf","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1902,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage10.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6de6cf837117e9f579ad1493.wmf"},{"id":96770100,"identity":"2a913d9a-8750-4b56-a255-b7caa3df1dc8","added_by":"auto","created_at":"2025-11-25 23:50:15","extension":"wmf","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage11.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/734c3af1efb10234f35b2c77.wmf"},{"id":96770096,"identity":"3af6b1eb-a0fa-4d69-9eab-519b74df3763","added_by":"auto","created_at":"2025-11-25 23:50:14","extension":"wmf","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage12.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/86596fd93823330d93069e1f.wmf"},{"id":96914931,"identity":"ff060a3a-d406-4ec7-9449-dd67a3972953","added_by":"auto","created_at":"2025-11-27 14:06:36","extension":"wmf","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage13.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/15e268b6ad560648693c399e.wmf"},{"id":96770140,"identity":"4ad08f4d-0cb4-47ab-876e-94b4f6181deb","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1264,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage14.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8c3f3bdd12d4396618bf9388.wmf"},{"id":96770143,"identity":"e0a055c5-af79-4667-b8e8-b0fd3085e636","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":11,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":846,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage15.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/edc2892218d15ab804120440.wmf"},{"id":96770105,"identity":"e8a9a588-206d-44a7-bdcc-6fe969efef9d","added_by":"auto","created_at":"2025-11-25 23:50:15","extension":"wmf","order_by":12,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage16.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/e84fa2182a79645839c8401c.wmf"},{"id":96770102,"identity":"4a086224-cf8f-411c-a5a2-e63d6de5ac38","added_by":"auto","created_at":"2025-11-25 23:50:15","extension":"wmf","order_by":13,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1038,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage17.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/eda40680542cda54ac3c5f55.wmf"},{"id":96770115,"identity":"a89ae458-9084-4d61-bbc2-303d58bd9c56","added_by":"auto","created_at":"2025-11-25 23:50:16","extension":"wmf","order_by":14,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1622,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage18.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/ce20a9b1fd344bfe3a75785a.wmf"},{"id":96770120,"identity":"6363187b-4190-4e5c-ba06-84e64b591a34","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":15,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage19.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c3e4012f4d3f87fc69e0954b.wmf"},{"id":96770117,"identity":"28314fa3-2016-498d-8752-72e7feffb36a","added_by":"auto","created_at":"2025-11-25 23:50:16","extension":"wmf","order_by":16,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage2.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d21b7a080977512f6eb2f4b8.wmf"},{"id":96770113,"identity":"74d1efc7-ccdd-48d9-be22-d85fa109fd2d","added_by":"auto","created_at":"2025-11-25 23:50:16","extension":"wmf","order_by":17,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage20.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/cc83ca90d7afd7af5b6901bd.wmf"},{"id":96916046,"identity":"118d7e47-0377-4f57-9833-828562fe1d35","added_by":"auto","created_at":"2025-11-27 14:07:54","extension":"wmf","order_by":18,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage21.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/ccd1903088650d8d16f92361.wmf"},{"id":96770095,"identity":"cbd14a37-ff01-4b99-8457-61d2ba844819","added_by":"auto","created_at":"2025-11-25 23:50:14","extension":"wmf","order_by":19,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage22.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/52c2ef8414a6b524afc42827.wmf"},{"id":96770127,"identity":"b8d574e4-42ef-4e0a-8d8c-145b6ff763da","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":20,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":730,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage23.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/40861cc0dafff1f68b65566a.wmf"},{"id":96770122,"identity":"301ebaa2-226e-4077-8950-27474a8803e8","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":21,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":730,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage24.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/3e2fad2e856413628e98452d.wmf"},{"id":96770153,"identity":"2e6ae23a-664e-4964-bc31-a1fd657101c7","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":22,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":968,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage25.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/484131af37713164f1d967aa.wmf"},{"id":96770138,"identity":"e3f92b08-f90c-4a35-bb38-0dc5a7dcd3ac","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":23,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage26.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/16c3abddefb47d2a727b798a.wmf"},{"id":96770192,"identity":"ddfa0b89-9996-4d98-905a-d0e3cc35ec8f","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":24,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage27.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/417597ecc7db1219b9c78f07.wmf"},{"id":96770148,"identity":"e30c3b84-144e-48a8-975a-426040bf53b5","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":25,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage28.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/cc4c352b6f3d7529ae592cba.wmf"},{"id":96770209,"identity":"beadfb91-0f08-44ea-94fd-2f0f1d8dfeff","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":26,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1790,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage29.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/a6b8712ba2dbd13bb0dfa712.wmf"},{"id":96770111,"identity":"aa065e24-eab0-41d7-8905-853784b97933","added_by":"auto","created_at":"2025-11-25 23:50:16","extension":"wmf","order_by":27,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage3.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/29a7640d751e9d5ca1f9a918.wmf"},{"id":96770135,"identity":"a4942032-bee8-4370-a002-d18706560ae1","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":28,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage30.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/a0b012e83b2c7932edbfc0af.wmf"},{"id":96770187,"identity":"45b47452-94f9-4968-89c0-33bbd2cc3022","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":29,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":848,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage31.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/53f02ee1ea3cd1d34ed8e2df.wmf"},{"id":96770141,"identity":"b93cdb5f-db31-4c86-bdf9-6201763ac6d8","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":30,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage32.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5aa4686d8b2e97f592a3615d.wmf"},{"id":96770133,"identity":"87265cb5-65ed-45f9-a761-97b1d7e167c1","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":31,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage33.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6ab3c7cc75640bb2675d1625.wmf"},{"id":96770101,"identity":"cd29cc6d-4020-4953-810d-ab956cc0ed39","added_by":"auto","created_at":"2025-11-25 23:50:15","extension":"wmf","order_by":32,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage34.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/af14cf3d4888253eaa2115ae.wmf"},{"id":96916703,"identity":"253e375d-d225-4dfc-a09c-f36245f7be7f","added_by":"auto","created_at":"2025-11-27 14:08:51","extension":"wmf","order_by":33,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1922,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage35.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8f84cf8b2d1997e96d6c709b.wmf"},{"id":96770150,"identity":"3455bf76-ef89-4ec4-ad01-7cfbc6c1d46a","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":34,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage36.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/e2a29b3e619ac945a6e2f41a.wmf"},{"id":96770238,"identity":"5a314fc3-e477-459c-bf35-dbb58226a424","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"wmf","order_by":35,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":740,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage37.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/9aec1c974d7a624552124eab.wmf"},{"id":96915126,"identity":"374fec91-1d8e-4bfd-9853-aeaefaecb601","added_by":"auto","created_at":"2025-11-27 14:06:52","extension":"wmf","order_by":36,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage38.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/12355cbaae77325a0175330b.wmf"},{"id":96770144,"identity":"0b40dabf-3426-4275-ae79-569b8d1a4b16","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"wmf","order_by":37,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage39.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/069550559d7d7d69aa2a7549.wmf"},{"id":96770104,"identity":"d7f24742-e450-4b66-be17-5227c8b3ef57","added_by":"auto","created_at":"2025-11-25 23:50:15","extension":"wmf","order_by":38,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage4.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/752fceb336a61f76253382b2.wmf"},{"id":96915483,"identity":"e2d7ca3d-56dd-4e13-a27b-cb106cadd6fb","added_by":"auto","created_at":"2025-11-27 14:07:17","extension":"wmf","order_by":39,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage40.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/563ac3628961f7dce3456e55.wmf"},{"id":96770121,"identity":"d4a9c638-82a8-463e-9497-5e5ad07759ce","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"jpeg","order_by":40,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":250758,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage41.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7d9e8c52803ba71b65cfaf21.jpeg"},{"id":96770189,"identity":"34a3b75b-13c6-45f2-8dd8-977f6f3462d9","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":41,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage42.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2eead2b08ad5f10f6b541def.wmf"},{"id":96916699,"identity":"c44ba9ef-affb-4738-afd7-3a626398aa75","added_by":"auto","created_at":"2025-11-27 14:08:51","extension":"wmf","order_by":42,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":744,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage43.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2e1ed025890d2e2bc69ce6b0.wmf"},{"id":96770124,"identity":"987b540e-b382-4033-aaee-692681f42cf9","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":43,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":744,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage44.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/21ceaed500fdf79d16139207.wmf"},{"id":96916009,"identity":"ba4c8fbf-3598-48f2-ade2-a2aac0fbfc3b","added_by":"auto","created_at":"2025-11-27 14:07:52","extension":"wmf","order_by":44,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1368,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage45.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/e085c77f696a8235cc1e6ec4.wmf"},{"id":96916082,"identity":"1808af3f-b858-4ae8-94e4-998aca761dc0","added_by":"auto","created_at":"2025-11-27 14:08:00","extension":"wmf","order_by":45,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":764,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage46.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f45ff0df4e704e6e8daf0069.wmf"},{"id":96770158,"identity":"3385d211-6c57-4206-b4f6-967fbd3c5ad3","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":46,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":673698,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage47.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f4addf0262e18322ee0a0eea.png"},{"id":96914944,"identity":"e8585a92-3474-4c09-8555-dd06fc92de45","added_by":"auto","created_at":"2025-11-27 14:06:39","extension":"png","order_by":47,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":367471,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage48.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/dd8f176d6c24caad3329702d.png"},{"id":96770194,"identity":"cde10a0b-9062-46a3-ad10-bb34736c5244","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":48,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":31494,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage49.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/461f736f3db4a40b0a3dc1bd.png"},{"id":96770130,"identity":"34bc503e-363e-438c-bb58-172bbda63e31","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":49,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage5.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/91cd9d99fb3ab695cc73bc80.wmf"},{"id":96770118,"identity":"a16d4c2e-9137-4531-93f9-2a13299e0df1","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"wmf","order_by":50,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1544,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage50.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8add153b02856c19214da97c.wmf"},{"id":96915976,"identity":"c7fedd21-ddf5-4742-93db-1307f9474245","added_by":"auto","created_at":"2025-11-27 14:07:50","extension":"wmf","order_by":51,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1396,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage51.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8f124405839b7ce835eb7fa4.wmf"},{"id":96770165,"identity":"6c8d6216-569d-468d-8d40-680b1c5b9e31","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":52,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2056,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage52.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0bb7c4fe5e8f085648e91afc.wmf"},{"id":96770178,"identity":"09806c96-fa59-496d-bc50-99a450ddb435","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":53,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2526,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage53.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/307838389118dc6246b930aa.wmf"},{"id":96770200,"identity":"cd152849-ddab-4fff-a39a-2cb957fdc298","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":54,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":3166,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage54.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/791aa2a91df303aa409ca0c0.wmf"},{"id":96770156,"identity":"ddf44b2e-caa0-4413-8e38-2cdd1fcf99f6","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":55,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2512,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage55.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d5164987990a184c8e86e740.wmf"},{"id":96915271,"identity":"a2bac999-def6-469e-b862-c5362c2bc2c3","added_by":"auto","created_at":"2025-11-27 14:07:03","extension":"wmf","order_by":56,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2604,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage56.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/da9a5752ad2e2074377af2a0.wmf"},{"id":96770260,"identity":"23df2371-e386-4164-b24a-7dfe488e707f","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"wmf","order_by":57,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage57.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/9617605d4d4d401d53a95e7a.wmf"},{"id":96770267,"identity":"59acad91-ff66-4599-85ba-98b3704135bb","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"wmf","order_by":58,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage40.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c2e87c1fb19d0c986abc1f45.wmf"},{"id":96916537,"identity":"2dd472d0-e817-40b1-ac32-7f4d56d4db05","added_by":"auto","created_at":"2025-11-27 14:08:41","extension":"wmf","order_by":59,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":624,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage59.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/387458ae78e2426b1c69bebe.wmf"},{"id":96915419,"identity":"181615c6-9e3e-4a43-9ada-988d43de4a7a","added_by":"auto","created_at":"2025-11-27 14:07:13","extension":"wmf","order_by":60,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage6.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c4f46f05cb15bb5f72023553.wmf"},{"id":96915298,"identity":"d894d455-ed81-44b4-a62c-44b5b3d61750","added_by":"auto","created_at":"2025-11-27 14:07:05","extension":"png","order_by":61,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":27124889,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage60.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d7992c93b5a0f4a2808527b4.png"},{"id":96770183,"identity":"3f85e0ce-312e-4dc6-af32-96191ea7629c","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":62,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":36033423,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage61.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7c85519c5cb380911d44f1e9.png"},{"id":96914790,"identity":"5d002fd5-9006-4b4c-ae22-5170ac7ce188","added_by":"auto","created_at":"2025-11-27 14:06:22","extension":"png","order_by":63,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":522991,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage62.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d121732b58289561a9662ad1.png"},{"id":96770125,"identity":"c1c1916b-aeee-401f-ba0c-9c28c8f362d3","added_by":"auto","created_at":"2025-11-25 23:50:17","extension":"emf","order_by":64,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":631788,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage63.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/a68646afaae26074a317a255.emf"},{"id":96914953,"identity":"362e1806-51d7-4a4d-b61a-a7a82303fbb6","added_by":"auto","created_at":"2025-11-27 14:06:40","extension":"emf","order_by":65,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":209884,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage64.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/28e7fce1bbd72eeed9090e07.emf"},{"id":96914755,"identity":"f8d1e85e-19fc-410f-89e3-436df16afb14","added_by":"auto","created_at":"2025-11-27 14:06:21","extension":"jpeg","order_by":66,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1422387,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage65.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/50ae91320412750b8c4d2eec.jpeg"},{"id":96770167,"identity":"f34f7fa1-7bf1-4600-a187-dbe7e4b21ea0","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":67,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2700077,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage66.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/23020a7d2094d6223e0a8f79.png"},{"id":96770175,"identity":"a209e421-6e4f-42cb-950e-b8e0fe3a3a30","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":68,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":10435225,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage67.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/716015db9e7382658dca2000.png"},{"id":96770203,"identity":"658f0971-4e0a-4f73-b380-f006938d781a","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":69,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":6939552,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage68.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5985f61b236674862e91ea6d.png"},{"id":96916325,"identity":"5a16316e-1cf4-4953-a8b5-9c56f93af4fd","added_by":"auto","created_at":"2025-11-27 14:08:28","extension":"emf","order_by":70,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":118868,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage69.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c3db556f4eb1606c7ccebdd4.emf"},{"id":96770204,"identity":"1c1e7c36-bd80-471d-ab2c-527ec83552ef","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"wmf","order_by":71,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage7.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/3796a6a6c145aa4364911565.wmf"},{"id":96770197,"identity":"ccab2014-028f-4d13-92d8-12f679d8f7f9","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"jpeg","order_by":72,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":283164,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage70.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/1f084807f285984ac070402c.jpeg"},{"id":96915019,"identity":"8affbbc4-7bfd-45f7-8fbf-15a741581010","added_by":"auto","created_at":"2025-11-27 14:06:45","extension":"png","order_by":73,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":243396,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage71.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/afb20e79cce23e3cbba8f02d.png"},{"id":96770249,"identity":"2c4e25c7-9ba6-4fe1-b992-8d7b0df8f0f0","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":74,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":27629,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage72.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/b4e7623b2454725dcb3cb6a4.png"},{"id":96770243,"identity":"9841145f-37e1-4847-b57e-0e01b33f3805","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":75,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":20534,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage73.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0890dfc8dc38f0114d763d40.png"},{"id":96770219,"identity":"e96a7e89-0028-4152-bbd4-65f748de74ae","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":76,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":459942,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage74.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0d6cfb2840b807488ee7ff98.png"},{"id":96917187,"identity":"00847bea-c57e-48bb-8005-5aef9eb142ca","added_by":"auto","created_at":"2025-11-27 14:09:20","extension":"png","order_by":77,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1517958,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage75.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d210389f4acd4bad876046a9.png"},{"id":96915034,"identity":"c7af9a33-5d1f-4270-8f8b-61bc2022e0b9","added_by":"auto","created_at":"2025-11-27 14:06:47","extension":"png","order_by":78,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":48447,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage76.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/45a8fdab1bd9bafba823c82a.png"},{"id":96916233,"identity":"abe92df8-0272-44b3-bef9-3cd5c109dcca","added_by":"auto","created_at":"2025-11-27 14:08:16","extension":"emf","order_by":79,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":631788,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage63.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0785bf84921ecdda2d758862.emf"},{"id":96770212,"identity":"80b02de5-a7c1-470d-9f23-40f31a7ddbfc","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"emf","order_by":80,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":209884,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage64.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/4cad5e75a8e44f32a683bd71.emf"},{"id":96915608,"identity":"8fea01fb-e58d-4890-af8e-4e348d01200b","added_by":"auto","created_at":"2025-11-27 14:07:26","extension":"jpeg","order_by":81,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1665173,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage79.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8bba4022a80e81594a51a905.jpeg"},{"id":96770163,"identity":"d101312a-ca32-40d4-af99-cddbf4d01167","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":82,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":742,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage8.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/508beae14406f836333e837f.wmf"},{"id":96770160,"identity":"5020be35-afef-4389-8e2a-0fda9feef2a0","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":83,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":68351,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage80.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/3721fe743c489b1e185c711a.png"},{"id":96915459,"identity":"586fd1cf-9a06-4344-bb1a-3cc2864daf96","added_by":"auto","created_at":"2025-11-27 14:07:16","extension":"png","order_by":84,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":361302,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage81.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7d503d231ff33ea818840d74.png"},{"id":96770205,"identity":"e8db0fab-2cb9-4732-aceb-55fc79cbec86","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":85,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":422946,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage82.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/52c8d375944ac141be7a30ba.png"},{"id":96770180,"identity":"2593416b-1073-4d07-9de2-1d683638a3e0","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"emf","order_by":86,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":118868,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage69.emf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6382196035968690e3c02c92.emf"},{"id":96770172,"identity":"ac7faa6e-72fa-41e1-ab45-3d755e1e8309","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"wmf","order_by":87,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2020,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage9.wmf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/68cc5082ec67559c8399810e.wmf"},{"id":96915258,"identity":"3216b18a-f160-4375-89a2-c5a0888e3fef","added_by":"auto","created_at":"2025-11-27 14:07:02","extension":"png","order_by":88,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":987,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/76246a8bc0498f08a5bb23c4.png"},{"id":96770241,"identity":"b375942b-00de-4af8-acc3-e01786c713f8","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":89,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1613,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage10.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/769d9703f40cf5c0a9b64c95.png"},{"id":96915512,"identity":"c9c8035e-3f43-49d5-aa18-f62cfcde30b6","added_by":"auto","created_at":"2025-11-27 14:07:21","extension":"png","order_by":90,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":272,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage11.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/b767f4214044794f965a6c6e.png"},{"id":96770136,"identity":"131a93f2-f38e-472d-aee5-86cacc8b73dc","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"png","order_by":91,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":267,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage12.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/509ca4cc1a97c02322864105.png"},{"id":96915655,"identity":"d0dba385-305c-41af-82b9-292211ebc8f7","added_by":"auto","created_at":"2025-11-27 14:07:28","extension":"png","order_by":92,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":273,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage13.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f08a81f57b06ece83ee35ea2.png"},{"id":96770202,"identity":"851c99cf-0b62-4dc0-a296-190462ee0541","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":93,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":739,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage14.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/cb2540099fe90b3ff6e515d4.png"},{"id":96770232,"identity":"0fd28586-e43d-474a-a287-e269e84650d9","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":94,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":377,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage15.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/afb66fb8d3285a226db700a6.png"},{"id":96916715,"identity":"ed30bed0-5cc1-45e4-966b-ed019d242a2a","added_by":"auto","created_at":"2025-11-27 14:08:51","extension":"png","order_by":95,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":250,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage16.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/217afe085a36061fb38f54d2.png"},{"id":96770162,"identity":"6ef4a7f8-5c0d-4649-8afa-e86aa22d131c","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":96,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":847,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage17.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8bf8f3d5054e4c33325f39a9.png"},{"id":96770199,"identity":"a153f9ea-7194-48b3-af9d-465ba4f2ef95","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":97,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1243,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage18.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8aec2446051d3f59de756ee7.png"},{"id":96770227,"identity":"90484fe4-78d0-42d0-943f-395de518534f","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":98,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":314,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage19.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/14f99925576590bcf1c43045.png"},{"id":96770261,"identity":"8e1c163d-22d6-48ec-bdbc-d47780e5f2a8","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":99,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":260,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/bb79f71343eed334c053cb2a.png"},{"id":96770173,"identity":"88c2a2d3-43ba-4b82-b966-de6624c4466d","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":100,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":267,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage20.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d1e1a7e1b1a473974469dac0.png"},{"id":96770139,"identity":"004fe9dd-8458-4189-a339-06ddc248f3fc","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"png","order_by":101,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":286,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage21.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5fed5ef531019c2b2d34debf.png"},{"id":96770265,"identity":"8fbd05a6-b1e7-467e-be04-954a145cea6c","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":102,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":262,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage22.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d3b4ad47f569ce1be31e6039.png"},{"id":96770272,"identity":"4875e1b4-d958-4a45-8d3f-12b6e8a40647","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":103,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":338,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage23.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/3f259d285ef6803afe9ebee3.png"},{"id":96915327,"identity":"104ae56a-c059-449c-ad38-37ee46f03117","added_by":"auto","created_at":"2025-11-27 14:07:07","extension":"png","order_by":104,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":338,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage23.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2f265653a21fadb3c8880099.png"},{"id":96915587,"identity":"ddf57922-c671-4321-a2e5-67a2ed593efd","added_by":"auto","created_at":"2025-11-27 14:07:25","extension":"png","order_by":105,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":463,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage25.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/098bc41772282e444bedae35.png"},{"id":96915230,"identity":"df189cc4-f9b5-4edf-bd71-8748fc608f05","added_by":"auto","created_at":"2025-11-27 14:07:00","extension":"png","order_by":106,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":326,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage26.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/301bd55cc28c018ae16ae97b.png"},{"id":96915797,"identity":"e925a658-3b2f-4ea3-8407-52fc3c9be015","added_by":"auto","created_at":"2025-11-27 14:07:38","extension":"png","order_by":107,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":322,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage27.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/da5889c0945f162ea9a5da6f.png"},{"id":96770263,"identity":"9f2b9eea-a7be-4071-83ca-30bced094d34","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":108,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":264,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage28.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/9ca9629d2f4507e44bb74c1a.png"},{"id":96770195,"identity":"26b9ced0-7939-4f12-bd3f-ec485cb96ffb","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":109,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1283,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage29.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c92816118726d97da8a085de.png"},{"id":96915750,"identity":"daf630b6-d514-44ef-ac1c-40671b0d6025","added_by":"auto","created_at":"2025-11-27 14:07:36","extension":"png","order_by":110,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":263,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7b6cc4ecd55f7f49c8f60d79.png"},{"id":96915740,"identity":"667381d9-1752-43b3-a2bd-75a8ac8e8577","added_by":"auto","created_at":"2025-11-27 14:07:35","extension":"png","order_by":111,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":318,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage30.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0b75b91436d5345b4724d208.png"},{"id":96770168,"identity":"abf4d851-07db-47e0-be31-76c4947297f5","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":112,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":374,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage31.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/c2ee7328c5df826df0ccbc9d.png"},{"id":96916718,"identity":"0dc71b85-3792-4c46-934c-c12c569e8835","added_by":"auto","created_at":"2025-11-27 14:08:51","extension":"png","order_by":113,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":306,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage32.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6e912b6c0887be96fc286108.png"},{"id":96770252,"identity":"0ccf439b-8e82-4877-837b-fe0b68a0776d","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":114,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":330,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage33.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/0cca07d50a478e0a709e7255.png"},{"id":96915456,"identity":"8be78c05-f75d-47d1-ac43-d85961e94271","added_by":"auto","created_at":"2025-11-27 14:07:15","extension":"png","order_by":115,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":268,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage34.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/dbe270b7e545c49e1c14a082.png"},{"id":96770234,"identity":"cba652ab-bfa8-4c2b-b80b-d238cb212848","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":116,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1411,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage35.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/36468d2b105a1908aa054638.png"},{"id":96914999,"identity":"7647d9dd-f6ca-4d42-bd5f-8f1d0703f230","added_by":"auto","created_at":"2025-11-27 14:06:43","extension":"png","order_by":117,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":265,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage36.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/fb35867a417e801fd0b4e58e.png"},{"id":96915594,"identity":"4668564e-256a-4f5e-9241-02cd293a2ec7","added_by":"auto","created_at":"2025-11-27 14:07:25","extension":"png","order_by":118,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":330,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage33.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/b233530981530680761af9ad.png"},{"id":96915595,"identity":"55d167a8-95ad-4576-a5d5-6f964f89986e","added_by":"auto","created_at":"2025-11-27 14:07:25","extension":"png","order_by":119,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":258,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage38.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/757d2a714b321b024cbb74a0.png"},{"id":96915482,"identity":"17ec792f-5c3d-418b-b88e-22ab1e2489e3","added_by":"auto","created_at":"2025-11-27 14:07:16","extension":"png","order_by":120,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":262,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage22.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/1dfac83e48ac67ef5e9f2a1a.png"},{"id":96915442,"identity":"6f5505cc-c454-4c9b-bf83-9883da6e6a95","added_by":"auto","created_at":"2025-11-27 14:07:15","extension":"png","order_by":121,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":290,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/28e5503061a412fb593ca60d.png"},{"id":96770275,"identity":"9bb2b0a4-5768-46ae-a321-7378b3231c79","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":122,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":251,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage40.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/1d871ef5aa9d8ca1add1a37f.png"},{"id":96770247,"identity":"9b35b152-bc33-42fe-a7bb-06b463c27c06","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":123,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":47551,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage41.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/820970a03586f6454016fdc0.png"},{"id":96770190,"identity":"13129086-47f6-488b-82d5-a50ebcc4d1cd","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":124,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":283,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage42.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f360d77cabebab02f9e7b570.png"},{"id":96770285,"identity":"493c2f59-ba70-4831-8b0f-dfa725bb9f81","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":125,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":265,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage43.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/ea13992939b12c9bdbddcfdb.png"},{"id":96770225,"identity":"0c0aee44-b049-41e2-b0ee-ced99c3de5b0","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":126,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":281,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage44.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/af460eaa454a9de55ea5e072.png"},{"id":96915449,"identity":"baec74a5-8f3d-414f-a354-b09d95a54caa","added_by":"auto","created_at":"2025-11-27 14:07:15","extension":"png","order_by":127,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":653,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage45.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/581484a6c944a7c12085c8a6.png"},{"id":96916039,"identity":"48d45134-4780-4541-a118-782fcb535039","added_by":"auto","created_at":"2025-11-27 14:07:54","extension":"png","order_by":128,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":446,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage46.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d3aff0219622491d8d32619a.png"},{"id":96770283,"identity":"74a07d4c-465e-421c-8f1f-14a4b6308172","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":129,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":255096,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage47.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2241609144db10a9e548d10c.png"},{"id":96915468,"identity":"93e71d70-5259-4d5b-a9b4-5fc83f19eb60","added_by":"auto","created_at":"2025-11-27 14:07:16","extension":"png","order_by":130,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":164382,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage48.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/1fb9b82a7c580bb7986ca249.png"},{"id":96770220,"identity":"d6a93173-9216-44d0-afc8-12f2e0c9304e","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":131,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":8537,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage49.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/a5ca1d07581d52e0922da3cd.png"},{"id":96914847,"identity":"67d085da-38ce-4328-b27e-ac91849d167f","added_by":"auto","created_at":"2025-11-27 14:06:28","extension":"png","order_by":132,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":294,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7a9b0e2b028fc44dbd3ae109.png"},{"id":96770207,"identity":"53a5b7da-15f4-45b6-9b37-932652b5d494","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":133,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1157,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage50.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/cb33e5846bd73d04b0e3ea0e.png"},{"id":96770226,"identity":"d29fc5fa-3648-4fd0-b1f3-1044f175627b","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":134,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":859,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage51.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/62dd361f57acaa26b3ad792a.png"},{"id":96915698,"identity":"47258ed4-fa5d-4658-8083-468d87453c4d","added_by":"auto","created_at":"2025-11-27 14:07:33","extension":"png","order_by":135,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1373,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage52.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/531e9745482a6ce29ee97f16.png"},{"id":96915539,"identity":"68270e5f-f1bd-49fe-97d1-b86be7ce3d9c","added_by":"auto","created_at":"2025-11-27 14:07:21","extension":"png","order_by":136,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2069,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage53.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/ac2f65fcfb8a76b958b4a219.png"},{"id":96915652,"identity":"fdb4432f-ae8b-488e-b8d5-fa49ba8477fc","added_by":"auto","created_at":"2025-11-27 14:07:28","extension":"png","order_by":137,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1915,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage54.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/e822e78128b1b15803e98fd2.png"},{"id":96916451,"identity":"2b6cf0b6-a756-4aee-817c-0d85bf5dfa55","added_by":"auto","created_at":"2025-11-27 14:08:36","extension":"png","order_by":138,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1787,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage55.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f7ad5948dc37fdba8cdbb2d4.png"},{"id":96770213,"identity":"fe205951-d04a-4e7e-93e8-67a99a12765c","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":139,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1900,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage56.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/f9eb5c1c1d02fb087b01307a.png"},{"id":96770259,"identity":"6a427406-5fc9-43f7-8b46-d05829b54667","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":140,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":278,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage57.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5cfc98e4991697659f2d8e73.png"},{"id":96770215,"identity":"79a6e3c0-0f0f-4413-b03d-865fd9cbe955","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":141,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":251,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage40.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/9ac5ff258c92b0a12f1d2840.png"},{"id":96770191,"identity":"87804503-c0b0-4d4c-94fd-8d5930b7eb4c","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":142,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":231,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage59.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6d8f3c596cbe84309b189876.png"},{"id":96916175,"identity":"fce3011f-2b30-484a-95b3-62c9a793e5c7","added_by":"auto","created_at":"2025-11-27 14:08:09","extension":"png","order_by":143,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":246,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7baefff67cc48b7b82203efa.png"},{"id":96770286,"identity":"cc983349-12bd-41c5-9f60-44b610567776","added_by":"auto","created_at":"2025-11-25 23:50:24","extension":"png","order_by":144,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2702093,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage60.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7c2753eaf4af6772c2ebd3c0.png"},{"id":96915491,"identity":"476a45aa-22e9-4e73-9c38-5c1f2c1d11ee","added_by":"auto","created_at":"2025-11-27 14:07:17","extension":"png","order_by":145,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4922702,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage61.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/11fc0014217b3cf864fbf184.png"},{"id":96915660,"identity":"ac917c7f-d459-417d-8b20-283abb331a6d","added_by":"auto","created_at":"2025-11-27 14:07:28","extension":"png","order_by":146,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":191286,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage62.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5b5e330e090ea968bd6eb144.png"},{"id":96770280,"identity":"22b452f8-8cc5-41a6-8819-11901e670e90","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":147,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5331,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage63.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2dfda2ed2fb8d716752c86be.png"},{"id":96770229,"identity":"da1f4c19-6600-4182-b945-3a0e9852990f","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":148,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5283,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage64.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d58e94f65eab3bc9ceae3258.png"},{"id":96915614,"identity":"55f22180-0893-4dd3-b809-cb03ecc7cce1","added_by":"auto","created_at":"2025-11-27 14:07:27","extension":"png","order_by":149,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":314925,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage65.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/4c0808b16c4b5cdd9131604a.png"},{"id":96770242,"identity":"d0ec9690-bd4f-4cd2-9e8c-41b5f60f8417","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":150,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":281309,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage66.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/43b3edb0382ff84d5d06dfa1.png"},{"id":96916589,"identity":"130d8afc-574c-42e1-80c2-a59307f72cf0","added_by":"auto","created_at":"2025-11-27 14:08:45","extension":"png","order_by":151,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":969419,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage67.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d8a22a21da5c6fdee31b928b.png"},{"id":96770152,"identity":"11a9ef22-6458-4be7-8c09-354de2cc89df","added_by":"auto","created_at":"2025-11-25 23:50:18","extension":"png","order_by":152,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1036190,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage68.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/e264a8f9f1e001991f574573.png"},{"id":96770233,"identity":"540ad212-6008-40d6-8750-cafb7ba3cf1c","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":153,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":6180,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage69.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/2f8562353e18e425cf11be23.png"},{"id":96770155,"identity":"aa87b5d6-a785-4485-ba09-94963fbd694e","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"png","order_by":154,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":280,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage7.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/929d97824c1e0e088c2c5078.png"},{"id":96915381,"identity":"ea79177b-2dc9-4ca5-9c13-43c00c62ddf9","added_by":"auto","created_at":"2025-11-27 14:07:11","extension":"png","order_by":155,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":47287,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage70.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/023ffb4e70f64808c2994148.png"},{"id":96914967,"identity":"a98e8f24-e265-435d-990e-00737560b6a4","added_by":"auto","created_at":"2025-11-27 14:06:40","extension":"png","order_by":156,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":33041,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage71.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/753d488f94744aaf247d8feb.png"},{"id":96770223,"identity":"7a6f3014-ab9f-4d64-8352-a569420887c5","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":157,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":12110,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage72.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8e844dc3f2ee9304201628e1.png"},{"id":96770222,"identity":"7268d28a-73fa-41f8-9f74-1f8188a839d2","added_by":"auto","created_at":"2025-11-25 23:50:21","extension":"png","order_by":158,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":7154,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage73.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d5815ddfb462166de5d2496c.png"},{"id":97136170,"identity":"417a9d59-69da-4756-a632-0465733b8355","added_by":"auto","created_at":"2025-12-01 09:55:54","extension":"png","order_by":159,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":93677,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage74.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d4292de638896a189925f465.png"},{"id":96770184,"identity":"c21f1348-2454-4c27-b2b1-5528587cf2c2","added_by":"auto","created_at":"2025-11-25 23:50:20","extension":"png","order_by":160,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":305634,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage75.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/827b1bc5545d6ed28d1a5bb1.png"},{"id":96916251,"identity":"7a1fbf5e-87b9-4da6-8b8e-2ea2e29a43b9","added_by":"auto","created_at":"2025-11-27 14:08:19","extension":"png","order_by":161,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":18277,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage76.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/815520c267806cbd0e28848c.png"},{"id":96916438,"identity":"d163ece1-ea85-44a4-8d95-18b848eb9ca9","added_by":"auto","created_at":"2025-11-27 14:08:35","extension":"png","order_by":162,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5331,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage77.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/7b394a14f896dd300db14d6a.png"},{"id":96770287,"identity":"6c8df6fd-5f22-400c-86bf-0a291b55628c","added_by":"auto","created_at":"2025-11-25 23:50:24","extension":"png","order_by":163,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5283,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage78.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/1788278fcda22e205f3a6545.png"},{"id":96770266,"identity":"fb2a2d75-f333-440d-8c7e-81e067fed076","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":164,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":376119,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage79.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/67351d7deca996d76f000ed7.png"},{"id":96915882,"identity":"b44f1390-ae5e-49c2-944e-44f13a6c9fbe","added_by":"auto","created_at":"2025-11-27 14:07:43","extension":"png","order_by":165,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":280,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage8.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8c1217e1877e9dae72dec244.png"},{"id":96770269,"identity":"79ac033e-f4fb-4824-8f3f-a0998808c96e","added_by":"auto","created_at":"2025-11-25 23:50:23","extension":"png","order_by":166,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":17066,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage80.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/d1d1de7c55a4e359fbf1890d.png"},{"id":96770255,"identity":"485368c8-13f2-426b-aa05-7afa672e1dad","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":167,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":81925,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage81.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/8d9087d3d1a1741b79609676.png"},{"id":96915226,"identity":"b0802370-ab10-443e-9853-7d8010c146b9","added_by":"auto","created_at":"2025-11-27 14:06:59","extension":"png","order_by":168,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":94215,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage82.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/6b154a8bf6e6597a3b97470b.png"},{"id":96770250,"identity":"ed491bf8-f25b-428d-850f-d72ab166ceb7","added_by":"auto","created_at":"2025-11-25 23:50:22","extension":"png","order_by":169,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":6180,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage83.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/ac827dd43d5ad0ad54edfc31.png"},{"id":96916040,"identity":"fb079d23-56f0-43b5-8281-d2280ad20f93","added_by":"auto","created_at":"2025-11-27 14:07:54","extension":"png","order_by":170,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1495,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage9.png","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/5046a193d4fc90b38b86b46f.png"},{"id":96770182,"identity":"5854ca49-310d-4415-ab4d-3406209a5cd3","added_by":"auto","created_at":"2025-11-25 23:50:19","extension":"xml","order_by":171,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":131852,"visible":true,"origin":"","legend":"","description":"","filename":"7bdea22b76f44ba9a748e9fcb6931e3a1structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/940b537dab8ff7ec9748e155.xml"},{"id":96915592,"identity":"fc9fb23a-7fe2-49da-9532-dec0c546812b","added_by":"auto","created_at":"2025-11-27 14:07:25","extension":"html","order_by":172,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":145054,"visible":true,"origin":"","legend":"","description":"","filename":"earlyproof.html","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1/949e02b4ee0fa10bdbef4b04.html"},{"id":101151865,"identity":"053ab347-a915-43d2-9b45-8bf2e587b68a","added_by":"auto","created_at":"2026-01-26 16:07:12","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1345038,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript11.113.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8089454/v1_covered_ba9806eb-284d-4d2a-b9b8-f238ebc77126.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Energy Evolution Mechanism of Hard Roof of Working Face Adjacent to Goaf after Hydraulic Fracturing and Application","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"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":"Working face adjacent to goaf, hydraulic fracturing, energy evolution mechanism, fracturing location, numerical simulation","lastPublishedDoi":"10.21203/rs.3.rs-8089454/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8089454/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTo solve the unclear energy evolution mechanism and uncertain fracturing effects in hydraulic fracturing of coal seams adjacent to goafs, this study explored hydraulic fracturing\u0026rsquo;s influence on roof energy release via theoretical analysis, proposed the optimal fracturing location to mitigate inter-roof energy transfer, and clarified fractures\u0026rsquo; regulatory effects on key strata through particle flow numerical simulation. Combined with field tests, it revealed the fractured roof energy evolution law: key stratum movement triggers energy release, and fracturing-induced elastic energy converts to gravitational potential energy via segmented subsidence. Calculations show energy release is reduced by 95% (to 35133.16 J) versus the unfractured condition. The optimal fracturing location is within 31.2 m of the return air roadway. Numerical simulation and field data confirm hydraulic fracturing promotes fracture development, alters stratum movement, reduces abutment pressure and high-energy microseismic events, and alleviates stress concentration, ensuring safe and efficient coal mine production.\u003c/p\u003e","manuscriptTitle":"Energy Evolution Mechanism of Hard Roof of Working Face Adjacent to Goaf after Hydraulic Fracturing and Application","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-25 23:50:07","doi":"10.21203/rs.3.rs-8089454/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-12-08T08:28:06+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-01T06:39:07+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-18T12:05:42+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"101241977223161068841235177153440013767","date":"2025-11-17T00:08:16+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"21468376176581349633625221382911866792","date":"2025-11-15T12:05:40+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"318032541054441189258240601216575806700","date":"2025-11-14T14:55:34+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-11-14T14:51:41+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2025-11-14T12:19:09+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-11-12T03:55:28+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-11-12T03:54:09+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2025-11-11T17:57:32+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":"e9710c62-75a3-4649-9605-2d36bd40ae00","owner":[],"postedDate":"November 25th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":58184740,"name":"Physical sciences/Energy science and technology"},{"id":58184741,"name":"Physical sciences/Engineering"},{"id":58184742,"name":"Earth and environmental sciences/Solid earth sciences"}],"tags":[],"updatedAt":"2026-01-26T16:03:43+00:00","versionOfRecord":{"articleIdentity":"rs-8089454","link":"https://doi.org/10.1038/s41598-026-36520-3","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2026-01-23 15:58:53","publishedOnDateReadable":"January 23rd, 2026"},"versionCreatedAt":"2025-11-25 23:50:07","video":"","vorDoi":"10.1038/s41598-026-36520-3","vorDoiUrl":"https://doi.org/10.1038/s41598-026-36520-3","workflowStages":[]},"version":"v1","identity":"rs-8089454","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8089454","identity":"rs-8089454","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}