Seismic kernel matrix and the effect of a surface receiver array on the condition number

Seismic kernel matrix and the effect of a surface receiver array on the condition number | 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 Seismic kernel matrix and the effect of a surface receiver array on the condition number Marcus Landschulze This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3139742/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Moment tensor inversion is a valuable tool for understanding what is happening below the surface during hydraulic fracturing or reservoir monitoring. The reliability of the inversion is critical to estimating the source mechanism, and the condition number is used as a measure of accuracy. The lower the condition number, the better the inversion. But how to estimate the maximum condition number to provide a reliable inversion result? I present 3D simulation results of the condition number around the source location and how real seafloor noise and the receiver position error affect the inversion misfit. These simulation results can be used for planning seismic monitoring projects to find an optimal array geometry and to evaluate the inversion accuracy at a given target area. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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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-3139742","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":216279799,"identity":"d04488d7-88db-45bf-b2d4-4e46664fb7e0","order_by":0,"name":"Marcus Landschulze","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVRIiWNgGAWjYDACdiDmYWBIADM+ADEfAwMzfi3MMC1ABuMMBgYJNpK0MPMQo0W3mfnZgzd/7PIMDrM/fGxTcbiOjb35sAFDjU00Li1mh9nMDee2JRcbHGZINs45c1iCjedYcgLDsbTcBpxaGMykeRsOJG44zHBMOrcNqEUix/gAY8NhPFrYv0nz/AFpYWz/bUmcFh4zaR42kBZmNmZGqJYEAlrKJIF+SZx5mI1ZsudMumQb0C8GCfj8crx9mwQwxBL7jrc//PCjwpqfHxhiEh9qbHBqwQESSFM+CkbBKBgFowANAAD6YVQmxSiEBgAAAABJRU5ErkJggg==","orcid":"","institution":"Western Norway University of Applied Sciences","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Marcus","middleName":"","lastName":"Landschulze","suffix":""}],"badges":[],"createdAt":"2023-07-04 15:29:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3139742/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3139742/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":40096110,"identity":"02ea418b-1d15-4167-85bc-2f0b2af29f60","added_by":"auto","created_at":"2023-07-17 00:44:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1897098,"visible":true,"origin":"","legend":"","description":"","filename":"SeismicKernelImpactReceiverGeometryMTIfinal.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3139742/v1_covered_f0b41638-6172-4fe3-8b3b-753a8d0f8892.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Seismic kernel matrix and the effect of a surface receiver array on the condition number","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3139742/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3139742/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eMoment tensor inversion is a valuable tool for understanding what is happening below the surface during hydraulic fracturing or reservoir monitoring. 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