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1、WaveMotion43(2005)123131Primaryelectromagnetic?eldintheseainducedbyamovinglineofelectricdipolesEdsonE.S.Sampaio?InstitutodeGeoci?enciasdaUFBA,Sala213B,CampusUniversit′ariodeOndina,40170-290Salvador,Bahia,BrazilReceived19January2005;receivedinrevisedform1
2、2July2005;accepted8August2005Availableonline3October2005AbstractTheanalysisoftheprimaryelectromagnetic?eldscausedbysteadystateortransientelectriccurrent?owingalongacableof?nitelengthmovingwithaconstantvelocitybelowtheseasurfacehasseveralapplications.Itsu
3、pportstheanalysisofsubmarinephysicaldataanditisusefulforprotectingshipsfromthethreatofseamines.Theusualapproachtodescribetheprimary?eldstartsfromthesolutionofamagneticvectorpotentialinthefrequencydomainduetoanelectricdipole,whichisobtainedwiththemethodof
4、Green.SubsequenttransformationtothetimedomainemployingLaplacetransformaswellasintegrationalongthecablelengthallowstodescribethetimevariationoftheprimaryelectromagneticinduced?eldduetoalineofelectricdipoles.Theresultisapplicabletobothshallowanddeepseawate
5、renvironments.Becauseofthedifferenceinvelocitybetweensourceandreceiver,acarefulapplicationoftheconvolutionintegralisnecessaryinordertoadaptthesourcepulsesolutiontoanytypeoftrans-mittingcurrentwaveform.Furthermoreitisshownthatthein?uenceoftherelativeveloc
6、itybetweensourceandreceiverisnotnec-essarilynegligible.Thereforeithastobeconsideredintheinterpretationofthesecondary?eldsscatteredbygeologicalfeatures.?2005ElsevierB.V.Allrightsreserved.Keywords:Electromagnetic;Sea;Movingsource;Lineofdipoles1.Introductio
7、nTheanalysisofelectromagnetic?eldscausedbysteadystateortransientelectriccurrent?owingalongacableof?nitelengthplacedinseawaterhasseveralapplications.Itsupportstheanalysisofsubmarinephysicaldataforenvironmentalandshallowordeepcrustalresearch,anditisalsouse
8、fulforprotectingshipsfromthethreatofseamines.Duringthelasttwodecadespracticalandtheoreticaleffortshaveledtothedevelopmentofcontrolledsourceelectromagneticinduction(EMI)techniquesforsurveyingtheseasubstractum:[3,5,6,8,10].P
