Nonlinear Dynamics Analysis and Hierarchical Parameter Optimization of Ultra-Deep Drill String Stick-Slip Vibrations under Full THM Coupling

Nonlinear Dynamics Analysis and Hierarchical Parameter Optimization of Ultra-Deep Drill String Stick-Slip Vibrations under Full THM Coupling | 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 Nonlinear Dynamics Analysis and Hierarchical Parameter Optimization of Ultra-Deep Drill String Stick-Slip Vibrations under Full THM Coupling Zhen Yuan, Liang Guo, Long Jiang, Yuangang Wu, Xiuwen Zhao, Benjie Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9024764/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract Addressing the stick-slip vibration challenges of ultra-high-aspect-ratio drill strings in ultra-deep wells under extreme conditions, this study establishes a fully coupled thermo-hydro-mechanical (THM) nonlinear dynamical model. The model incorporates temperature-dependent material constitutive relations and nonlinear fluid damping, while proposing a novel Thermo-mechanical and Time-delayed Bit-Rock Interaction (T-BRI) model accounting for bit thermal equilibrium and rock thermal damage. The Velocity Verlet symplectic algorithm is adopted to solve the model, revealing a "scale effect" in the dynamical response as well depth increases, characterized by limit cycle proliferation and topological degeneration. Thermo-hydraulic coupling analysis indicates that high-temperature-induced "thermal thinning" of drilling fluid causes significant damping attenuation, leading to a sharp shrinkage of the operational safety window. Further multi-dimensional stability analysis demonstrates that localized thermal accumulation at the bit induces stick-slip oscillations in previously stable regimes; however, an optimization window dominated by rock thermal softening is identified in the medium-temperature range (400–600 °C). Finally, a hierarchical parameter optimization strategy based on thermal state feedback is proposed, which suggests that active downhole thermal management serves as a fundamental and effective approach to suppressing stick-slip vibrations in ultra-deep drilling. Ultra-deep well drill string Thermo-hydro-mechanical (THM) coupling Stick-slip vibration Thermal softening effect Bit-rock interaction Nonlinear dynamics Full Text Additional Declarations No competing interests reported. Supplementary Files Graphicalabstract.tif Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 06 Mar, 2026 Editor assigned by journal 04 Mar, 2026 Submission checks completed at journal 04 Mar, 2026 First submitted to journal 03 Mar, 2026 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-9024764","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":602092151,"identity":"bb782706-763e-4f7a-aebc-d46aafe7dd29","order_by":0,"name":"Zhen Yuan","email":"","orcid":"","institution":"Southwest Petroleum University","correspondingAuthor":false,"prefix":"","firstName":"Zhen","middleName":"","lastName":"Yuan","suffix":""},{"id":602092152,"identity":"3714033b-a67d-47dc-87ee-f389a1ad4d6e","order_by":1,"name":"Liang 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Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Ultra-deep well drill string, Thermo-hydro-mechanical (THM) coupling, Stick-slip vibration, Thermal softening effect, Bit-rock interaction, Nonlinear dynamics","lastPublishedDoi":"10.21203/rs.3.rs-9024764/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9024764/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Addressing the stick-slip vibration challenges of ultra-high-aspect-ratio drill strings in ultra-deep wells under extreme conditions, this study establishes a fully coupled thermo-hydro-mechanical (THM) nonlinear dynamical model. The model incorporates temperature-dependent material constitutive relations and nonlinear fluid damping, while proposing a novel Thermo-mechanical and Time-delayed Bit-Rock Interaction (T-BRI) model accounting for bit thermal equilibrium and rock thermal damage. The Velocity Verlet symplectic algorithm is adopted to solve the model, revealing a \"scale effect\" in the dynamical response as well depth increases, characterized by limit cycle proliferation and topological degeneration. Thermo-hydraulic coupling analysis indicates that high-temperature-induced \"thermal thinning\" of drilling fluid causes significant damping attenuation, leading to a sharp shrinkage of the operational safety window. Further multi-dimensional stability analysis demonstrates that localized thermal accumulation at the bit induces stick-slip oscillations in previously stable regimes; however, an optimization window dominated by rock thermal softening is identified in the medium-temperature range (400–600 °C). 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