Three-dimensional modeling of IP effectsIin time-domain electromagnetic dataP效应的三维建模 时域电磁数据

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1、GEOPHYSICS,VOL.79,NO.6(NOVEMBER-DECEMBER2014);P.E303–E314,14FIGS.10.1190/GEO2014-0060.1Three-dimensionalmodelingofIPeffectsintime-domainelectromagneticdata111DavidMarchant,EldadHaber,andDouglasW.OldenburgABSTRACTabsolutestability.Thisapproachallowedustooperatedirectly

2、inthetimedomainandavoidfrequencytotime-domaintrans-Understandingtheeffectsofinduced-polarization(IP)effectsformations.Althoughthisapproachcanbeapplieddirectlytoontime-domainelectromagneticdatarequirestheabilitytosim-materialsexhibitingDebyedispersions,otherCole-Coledi

3、sper-ulatecommonsurveytechniqueswhentakingchargeabilityintosionsresultedinfractionalderivativesintime.Toovercomethisaccount.Mostexistingtechniquespreformthismodelinginthedifficulty,Padéapproximationswereusedtorepresentthefre-frequencydomainpriortotransformingtheirresu

4、ltstothetimequencydependenceasarationalseriesofintegerorderterms.domain.EventhoughthistechniquecanallowforchargeableTheresultingmethodwasthensimplifiedtogenerateareducedmaterialtobeeasilyincorporated,itsapplicationforsomeprob-time-domainmodelthatcanbeusedtoforwardmode

5、ltheIPlemscanbecomputationallylimiting.Wedevelopedanewtech-decaycurvesintheabsenceofanyelectromagneticcoupling.niqueforforwardmodelingthetime-domainelectromagneticWefoundnumericalexamplesinwhichthemethodproducedresponseofchargeablematerialsinthreedimensions.Thefre-acc

6、urateresults.ThepotentialapplicationofthemethodwasquencydependenceofOhms’lawtranslatestoanordinarydif-demonstratedbymodelingthefulltime-domainelectromagneticferentialequationwhenconsideredinthetimedomain.TheresponseofagradientarrayIPsurvey,andtheoccurrenceofsystemofor

7、dinary-partialdifferentialequationswasthendis-negativetransientsinairbornetime-domainelectromagneticcretizedusinganimplicittime-steppingalgorithm,thatyieldeddata.INTRODUCTIONThephysicalmechanismthatgivesrisetoafrequency-dependentconductivityvariesdependingonthesituati

8、on(Schön,2011),andThephysicalpropertiesofmaterialsoftendependonthefre-manyparametricmodelshavebeendevelopedtodescribethenatu