Wave propagation model considering cross-scale attenuation mechanism and pressure influence

Wave propagation model considering cross-scale attenuation mechanism and pressure influence | 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 Wave propagation model considering cross-scale attenuation mechanism and pressure influence Fansheng Xiong, LIU JIAWEI, Zhenwei Guo, Bochen Wang, Jianxin Liu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6512140/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 03 Mar, 2026 Read the published version in Acta Geophysica → Version 1 posted 6 You are reading this latest preprint version Abstract This study develops a wave propagation model for predicting seismic dispersion and attenuation that considers multi-scale attenuation mechanisms. The modeling approach comprises the following steps: First, substitute the rock physics parameters into the Biot-Rayleigh model to calculate the compressional wave velocity, subsequently the bulk modulus of rock skeleton is inferred from the velocity using Gassmann's equation, and thus the mesoscopic-scale attenuation mechanism of seismic waves is considered. Next, substitute the rock physics parameters into Gurevich's model considering the impact of pressure to calculate the bulk modulus of rock skeleton directly to integrate into the mechanism of attenuation occurred at microscopic scale. Then, the two bulk moduli are combined via a weighted summation, thereby obtaining an effective bulk modulus of rock skeleton that considers cross-scale attenuation mechanism. Finally, the effective modulus is incorporated into a dynamic system, where the framework of Biot's equations is employed. Based on plane wave analysis, dispersion and attenuation are predicted. The results reveal that the mesoscopic effect saturates quickly at low pressures, while the microscopic mechanism contributes more gradually over a broader pressure range. However, when both mechanisms are strongly activated, their interaction may suppress attenuation at high pressures, indicating a nonlinear coupling between the mesoscopic and microscopic attenuation mechanisms. This feature highlights the physical interpretability and adaptability of this approach in predicting the seismic wave attenuation characteristics at different scales, laying a foundation for high-precision seismic modeling and inversion in complex geological porous media. Seismic wave Multiscale mechnism Dispersion and attenuation Wave equations Effective modulus Full Text Cite Share Download PDF Status: Published Journal Publication published 03 Mar, 2026 Read the published version in Acta Geophysica → Version 1 posted Editorial decision: Major revisions 15 Jul, 2025 Reviewers agreed at journal 19 May, 2025 Reviewers invited by journal 19 May, 2025 Editor invited by journal 17 May, 2025 First submitted to journal 27 Apr, 2025 Editor assigned by journal 26 Apr, 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. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6512140","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":458769938,"identity":"e6d1a58c-e330-4c85-b0a4-300d3d920d51","order_by":0,"name":"Fansheng Xiong","email":"","orcid":"","institution":"Yanqi Lake Beijing Institute of Mathematical Sciences and Applications","correspondingAuthor":false,"prefix":"","firstName":"Fansheng","middleName":"","lastName":"Xiong","suffix":""},{"id":458769939,"identity":"a4681539-ee53-4da9-b854-8768ea602214","order_by":1,"name":"LIU JIAWEI","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABEElEQVRIiWNgGAWjYBACPmYgIWEAJECMDxUMDAYMbBApxgbsWtiQtTDOOGNAhBZkDjNvG5IWXICNnceAwaLALrGfnYHxAe+8P3Lm7G1pEgw1dgzMs7Fbw8YM1CJhkJw4s5mB2UBym4GxZc+xYxIMx5IZGOccwKeFOXfDYQY2CcNtBokbbqS3STCwHQD6LAGflvrc/YcZ2H8kzoFp+UdQy+HcDcxAbx9sAGlJOybB2IZPC1vBAQmD4/UzDjM2SzYcMzY2OHMs2SKxL5kHl1/4+Q9vfCzxp9qYv//wwc9/auTkDI63Gd748M1OzhBHiIHAYQkwhRx1QCfxGM7AqYOB8QNWYXkJ3FpGwSgYBaNgRAEAlqZRjeMRpsAAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0002-0852-4779","institution":"Tohoku University - Katahira Campus: Tohoku Daigaku","correspondingAuthor":true,"prefix":"","firstName":"LIU","middleName":"","lastName":"JIAWEI","suffix":""},{"id":458769940,"identity":"8c0ce06a-4a71-4cbb-b06e-623cd562ecbf","order_by":2,"name":"Zhenwei Guo","email":"","orcid":"","institution":"Central South University","correspondingAuthor":false,"prefix":"","firstName":"Zhenwei","middleName":"","lastName":"Guo","suffix":""},{"id":458769941,"identity":"87030bee-4bba-4f7d-9765-fe22125d56cc","order_by":3,"name":"Bochen Wang","email":"","orcid":"","institution":"Central South University","correspondingAuthor":false,"prefix":"","firstName":"Bochen","middleName":"","lastName":"Wang","suffix":""},{"id":458769942,"identity":"031e9056-5513-4305-99bb-70d8f13ed670","order_by":4,"name":"Jianxin Liu","email":"","orcid":"","institution":"Central South University","correspondingAuthor":false,"prefix":"","firstName":"Jianxin","middleName":"","lastName":"Liu","suffix":""}],"badges":[],"createdAt":"2025-04-23 11:27:17","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6512140/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6512140/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11600-026-01819-2","type":"published","date":"2026-03-03T15:58:14+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":104251595,"identity":"0e6f2902-07a5-4192-876c-4ad58f5fb7bd","added_by":"auto","created_at":"2026-03-09 16:14:16","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1055177,"visible":true,"origin":"","legend":"","description":"","filename":"Paper54.23.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6512140/v1_covered_79718738-c40d-491c-bf0d-f75fd7b4e7a3.pdf"}],"financialInterests":"","formattedTitle":"Wave propagation model considering cross-scale attenuation mechanism and pressure influence","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":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"acta-geophysica","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"agph","sideBox":"Learn more about [Acta Geophysica](http://link.springer.com/journal/11600)","snPcode":"11600","submissionUrl":"https://www.editorialmanager.com/agph/default2.aspx","title":"Acta Geophysica","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Seismic wave, Multiscale mechnism, Dispersion and attenuation, Wave equations, Effective modulus","lastPublishedDoi":"10.21203/rs.3.rs-6512140/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6512140/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This study develops a wave propagation model for predicting seismic dispersion and attenuation that considers multi-scale attenuation mechanisms. The modeling approach comprises the following steps: First, substitute the rock physics parameters into the Biot-Rayleigh model to calculate the compressional wave velocity, subsequently the bulk modulus of rock skeleton is inferred from the velocity using Gassmann's equation, and thus the mesoscopic-scale attenuation mechanism of seismic waves is considered. Next, substitute the rock physics parameters into Gurevich's model considering the impact of pressure to calculate the bulk modulus of rock skeleton directly to integrate into the mechanism of attenuation occurred at microscopic scale. Then, the two bulk moduli are combined via a weighted summation, thereby obtaining an effective bulk modulus of rock skeleton that considers cross-scale attenuation mechanism. Finally, the effective modulus is incorporated into a dynamic system, where the framework of Biot's equations is employed. Based on plane wave analysis, dispersion and attenuation are predicted. The results reveal that the mesoscopic effect saturates quickly at low pressures, while the microscopic mechanism contributes more gradually over a broader pressure range. However, when both mechanisms are strongly activated, their interaction may suppress attenuation at high pressures, indicating a nonlinear coupling between the mesoscopic and microscopic attenuation mechanisms. This feature highlights the physical interpretability and adaptability of this approach in predicting the seismic wave attenuation characteristics at different scales, laying a foundation for high-precision seismic modeling and inversion in complex geological porous media.","manuscriptTitle":"Wave propagation model considering cross-scale attenuation mechanism and pressure influence","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-05-21 03:04:08","doi":"10.21203/rs.3.rs-6512140/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revisions","date":"2025-07-15T23:45:56+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2025-05-19T14:04:28+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-05-19T13:44:34+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"Acta Geophysica","date":"2025-05-17T08:30:57+00:00","index":"","fulltext":""},{"type":"submitted","content":"Acta Geophysica","date":"2025-04-27T23:43:16+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-04-26T11:15:36+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"acta-geophysica","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"agph","sideBox":"Learn more about [Acta Geophysica](http://link.springer.com/journal/11600)","snPcode":"11600","submissionUrl":"https://www.editorialmanager.com/agph/default2.aspx","title":"Acta Geophysica","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"fa5af9b3-493e-4696-9121-cd2d15bcbf80","owner":[],"postedDate":"May 21st, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2026-03-09T16:10:46+00:00","versionOfRecord":{"articleIdentity":"rs-6512140","link":"https://doi.org/10.1007/s11600-026-01819-2","journal":{"identity":"acta-geophysica","isVorOnly":false,"title":"Acta Geophysica"},"publishedOn":"2026-03-03 15:58:14","publishedOnDateReadable":"March 3rd, 2026"},"versionCreatedAt":"2025-05-21 03:04:08","video":"","vorDoi":"10.1007/s11600-026-01819-2","vorDoiUrl":"https://doi.org/10.1007/s11600-026-01819-2","workflowStages":[]},"version":"v1","identity":"rs-6512140","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6512140","identity":"rs-6512140","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}