Standard Earthquakes Model Originated from the 2 Burridge and Knopoff Glissade Paradigm

Standard Earthquakes Model Originated from the 2 Burridge and Knopoff Glissade Paradigm | 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 Standard Earthquakes Model Originated from the 2 Burridge and Knopoff Glissade Paradigm RICARDO CEBALLOS GARZÓN, PLAMEN NETCHEV NECHEV This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6001237/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 The paper is dedicated to the classical glissade’s modeling in order to explain the earthquake mechanisms. The B&K model, converted into a conception already well marked and known by everyone, has been rethought generalizing the uniform movement of the largest stratum, corresponds to any continually acting force. In addition, for the resistance function has been used an expression obtained by the authors, based on the Elementary Catastrophes Theory that resistance fully satisfies the conditions of the existence and uniqueness theorem regarding the solutions of the systems of ODE. Our generalized B&K model equations have been solved numerically for a particular case through the respective standard software package MATLAB. The analysis of the results highlights a periodicity at the seismic activity (obtained at constant force) and the earthquake’s appearances it is shown as a consequence of the different system’s resonance points. All of the above would allow through the reengineering methods obtaining valuable information related to the structure and behavior of local plates. With this, we dared to suppose that in view of future landslide models already there is available a “standard” basic description that we believe is essential to be included at the time of any further development. Seismology Geophysics Earthquakes mechanisms Burridge-Knopoff model Fold catastrophe Seismic periodicity Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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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-6001237","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":413811706,"identity":"517a2968-2e9a-43ad-868c-b095a60e8720","order_by":0,"name":"RICARDO CEBALLOS GARZÓN","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7UlEQVRIiWNgGAWjYHACNgaGAgsgzXwASIAYCcRoMZAA0SClEiRp4TEgTot5++FjD34YSMjJ96/5Jl1QI8HAz55jwPCjArcWmTNp6YY9BhLGBjfebpOecUyCQbLnjQFjzxncWiQkeMwkeAwkEjdInN0mzcMmwWBwI8eAmbENnxb+b5J/gFrmzzjzTJrnnwSDPWEtPGzSIFsazvewSfO2AW2RIKSFJ83cWAbsFzZja94+CR6JM88KDuL1C/vhZw/fVNgAQ+zww9s832zk+NuTNz7AF2JImhPAFA+IOECMBgYGfiLVjYJRMApGwcgDAObvRCEhM/yjAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-6623-5641","institution":"UNIVERSIDAD CENTRAL DE VENEZUELA","correspondingAuthor":true,"prefix":"","firstName":"RICARDO","middleName":"CEBALLOS","lastName":"GARZÓN","suffix":""},{"id":413811707,"identity":"ab84aec3-79d0-46d6-9f3d-27076bea8383","order_by":1,"name":"PLAMEN NETCHEV NECHEV","email":"","orcid":"","institution":"INDEPENDENT RESEARCHER","correspondingAuthor":false,"prefix":"","firstName":"PLAMEN","middleName":"NETCHEV","lastName":"NECHEV","suffix":""}],"badges":[],"createdAt":"2025-02-10 17:34:29","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-6001237/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6001237/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":76090751,"identity":"bd150015-1014-4895-85e1-fcf24f2e7ea9","added_by":"auto","created_at":"2025-02-12 08:25:36","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":443622,"visible":true,"origin":"","legend":"","description":"","filename":"StandardEarthquakesModel.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6001237/v1_covered_9dbadf59-d153-40d5-aaab-12ec3c6d2e64.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eStandard Earthquakes Model Originated from the 2 Burridge and Knopoff Glissade Paradigm\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Universidad Central de Venezuela","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":"Earthquakes mechanisms, Burridge-Knopoff model, Fold catastrophe, Seismic periodicity","lastPublishedDoi":"10.21203/rs.3.rs-6001237/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6001237/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe paper is dedicated to the classical glissade’s modeling in order to explain the earthquake mechanisms. The B\u0026amp;K model, converted into a conception already well marked and known by everyone, has been rethought generalizing the uniform movement of the largest stratum, corresponds to any continually acting force. In addition, for the resistance function has been used an expression obtained by the authors, based on the Elementary Catastrophes Theory that resistance fully satisfies the conditions of the existence and uniqueness theorem regarding the solutions of the systems of ODE. Our generalized B\u0026amp;K model equations have been solved numerically for a particular case through the respective standard software package MATLAB. The analysis of the results highlights a periodicity at the seismic activity (obtained at constant force) and the earthquake’s appearances it is shown as a consequence of the different system’s resonance points. All of the above would allow through the reengineering methods obtaining valuable information related to the structure and behavior of local plates. 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