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基于深度变化的磁场正则化下延方法研究的综述报告 Introduction Inmanygeophysicalsurveys,magneticdataisoneofthemostcommonlyuseddatatypes.Magneticdataiscommonlyusedinmineralexploration,environmentalmonitoring,andgeologicalmapping.However,thedataobtainedfrommagneticsurveysisoftenaffectedbynoise,whichcanmakeitdifficulttointerpret.Therefore,theuseofmagneticfieldregularizationinversionmethodsisimportanttoobtainreliableandaccurateresults.Oneofthemethodsthatisgainingpopularityistheuseofdepthextensionbasedondepthchangesonmagneticfields.Inthisreport,weprovideareviewofthestudiesthathavebeenconductedonthismethod. Theory Depthextensionbasedondepthchangesonmagneticfieldsisamethodthatisusedtocomputetheextensionofmagneticfielddatatogreaterdepths.Themethodisbasedontheassumptionthatthechangesinthemagneticfieldarecausedbychangesinthemagneticsusceptibilityoftherocks.Bymodelingthischange,itispossibletoestimatethedepthofthesourcescausingthemagneticanomaly.Themethodusestheconceptofasourcedepthfunction,whichrelatesthemagneticfieldataparticularpointtothedepthofthemagneticsource. Themethodinvolvestheinversionofthesourcedepthfunctiontoestimatethemagneticsusceptibilitystructureofthesubsurface.Thisinversionisachievedbysolvinganonlinearoptimizationproblemusingaregularizedleast-squareinversion.Inordertosolvethisproblem,aregularizationconstraintisimposedonthesolution,whichhelpstostabilizetheinversionandremovenoise. StudiesonDepthExtensionBasedonDepthChangesonMagneticFields Severalstudieshavebeenconductedtoinvestigatetheperformanceofthedepthextensionmethodbasedondepthchangesonmagneticfields.DeSantisetal.(2014)usedthemethodtoinvestigatethemagneticstructureoftheTyrrhenianSea.Theyfoundthatthemethodwasabletoimprovetheresolutionofthemagneticdataatgreaterdepths.Furthermore,theyfoundthatthemethodwasabletoresolvethemagneticanomalyassociatedwiththeseafloorspreadingintheTyrrhenianSea. Fedietal.(2015)usedthemethodtoinvestigatethemagneticstructureoftheUmbriaRegioninCentralItaly.Theyfoundthatthemethodwasabletoaccuratelyestimatethedeptha