An Approximate Constant-Q Viscoacoustic Full Waveform Inversion Method Based on Gradient Preconditioning

An Approximate Constant-Q Viscoacoustic Full Waveform Inversion Method Based on Gradient Preconditioning | 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 An Approximate Constant-Q Viscoacoustic Full Waveform Inversion Method Based on Gradient Preconditioning YiPeng Xu, Ning Qin, Xinmin Shang, Aiguo Zhao, Shengge Wang, Zilin He This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7418965/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 6 You are reading this latest preprint version Abstract In viscoelastic media, velocity and quality factor (Q) exhibit crosstalk in full waveform inversion (FWI), where the gradient vector of Q is dominated by velocity, thereby impairing the accuracy of final inversion results. While sequential inversion of these two parameters can yield more accurate outcomes, it compromises the computational efficiency of FWI. Concurrently, in viscoacoustic FWI, relying solely on conventional wavefield energy values for simultaneous gradient illumination of the two parameters significantly degrades the precision of inversion results. Research has shown that the pseudo-Hessian operator, functioning as a preconditioner, enables separate gradient energy optimization for the gradients of different parameters, mitigates crosstalk between parameters, and achieves more balanced convergence across all parameters. In this study, the gradient formulation for viscoacoustic FWI under the approximate constant-Q model is first derived. Furthermore, to address the crosstalk issue between velocity and Q in viscoacoustic FWI and enhance inversion accuracy, a pseudo-Hessian matrix gradient preconditioning operator for approximate constant-Q viscoacoustic FWI is developed, leading to the establishment of an approximate constant-Q viscoacoustic full waveform inversion method based on gradient preconditioning. Model and field tests validate that this method effectively resolves the crosstalk between velocity and Q in viscoacoustic FWI and improves the accuracy of inversion results. Approximate constant-Q Full Waveform Inversion Gradient preconditioning Pseudo-Hessian matrix Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revisions 05 Nov, 2025 Reviewers agreed at journal 10 Sep, 2025 Reviewers invited by journal 10 Sep, 2025 Editor invited by journal 30 Aug, 2025 First submitted to journal 28 Aug, 2025 Editor assigned by journal 27 Aug, 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-7418965","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":513296454,"identity":"2722080d-7fc5-4ed2-b0f0-0c072f90ba42","order_by":0,"name":"YiPeng 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While sequential inversion of these two parameters can yield more accurate outcomes, it compromises the computational efficiency of FWI. Concurrently, in viscoacoustic FWI, relying solely on conventional wavefield energy values for simultaneous gradient illumination of the two parameters significantly degrades the precision of inversion results. Research has shown that the pseudo-Hessian operator, functioning as a preconditioner, enables separate gradient energy optimization for the gradients of different parameters, mitigates crosstalk between parameters, and achieves more balanced convergence across all parameters. In this study, the gradient formulation for viscoacoustic FWI under the approximate constant-Q model is first derived. 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Model and field tests validate that this method effectively resolves the crosstalk between velocity and Q in viscoacoustic FWI and improves the accuracy of inversion results.\u003c/p\u003e","manuscriptTitle":"An Approximate Constant-Q Viscoacoustic Full Waveform Inversion Method Based on Gradient Preconditioning","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-18 05:43:28","doi":"10.21203/rs.3.rs-7418965/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revisions","date":"2025-11-05T12:36:11+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2025-09-10T21:41:04+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-09-10T20:48:30+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"Acta Geophysica","date":"2025-08-30T09:00:13+00:00","index":"","fulltext":""},{"type":"submitted","content":"Acta Geophysica","date":"2025-08-28T05:22:24+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-08-27T11:35:52+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":"5bc96230-35b6-47bb-ace2-b099bd6b1570","owner":[],"postedDate":"September 18th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-01-05T21:13:31+00:00","versionOfRecord":[],"versionCreatedAt":"2025-09-18 05:43:28","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7418965","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7418965","identity":"rs-7418965","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}