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基于非结构网格的三维大地电磁法有限内存拟牛顿反演研究（英文）.docx

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基于非结构网格的三维大地电磁法有限内存拟牛顿反演研究（英文） Title:ResearchonLimitedMemoryQuasi-NewtonInversionofThree-DimensionalMagnetotelluricMethodbasedonUnstructuredGrids Abstract: Thethree-dimensionalmagnetotelluricmethod(MT)isawidelyusedgeophysicaltechniqueforexploringsubsurfaceelectricalresistivitydistributions.Inthisstudy,wefocusondevelopinganinversionalgorithmbasedonthelimitedmemoryquasi-Newtonmethodforsolvingthethree-dimensionalMTproblemusingunstructuredgrids.Theproposedalgorithmaimstoimprovetheefficiencyandaccuracyoftheinversionprocesscomparedtotraditionalapproaches.Throughnumericalexperiments,wedemonstratetheeffectivenessandapplicabilityofthealgorithm. 1.Introduction: Thethree-dimensionalMTmethodisapowerfulgeophysicaltoolforinvestigatingtheelectricalpropertiesoftheEarth'ssubsurface.Ithasbeenextensivelyusedinawiderangeofapplications,includingmineralexploration,groundwaterassessment,andhydrocarbonreservoircharacterization.However,theinversionprocessinthethree-dimensionalMTmethodiscomputationallydemandingduetothelarge-scaleandill-posednatureoftheproblem.Thispaperfocusesonthedevelopmentofanefficientandaccurateinversionalgorithmbasedonlimitedmemoryquasi-Newtonmethods. 2.Methodology: 2.1MathematicalFormulation: Wefirstintroducethemathematicalformulationofthethree-dimensionalMTmethod.Thegoverningequations,whichdescribetherelationshipbetweentheelectromagneticfieldsandthesubsurfaceresistivitydistribution,arepresented.Thecompleteforwardmodelingoperatorisderivedandexpressedinmatrixform. 2.2UnstructuredMeshGeneration: Toaddressthecomputationalchallengesassociatedwiththelarge-scalethree-dimensionalMTproblem,weadoptanunstructuredgridframework.Theadvantagesofusingunstructuredgrids,suchasflexibilityandadaptabilitytocomplexgeologicalstructures,arediscussed.Wepresenttheproceduresforgeneratingunstructuredmeshesbasedonthesubsurfacetopographyandtargetareaofinterest. 2.3InversionAlgorithm: Theproposedlimitedmemoryquasi-Newtoninversionalgorithmisdesignedtoefficientlyandaccuratelysolvethethree-dimensionalM