测井数据小波变换及其地质意义

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:20020628:(49872057):(19642),,,,.323Vol.32No.320035JournalofChinaUniversityofMining&TechnologyMay2003:100021964(2003)03203362041,2,2(1.,221008;2.,271019):,.,1(),..:;;;;:P631.4:A1,,,.(),Fourier,.,Fourier.,.,[16],,[7].,.,,.11.1+-û7^(X)û2ûXû-1dX7(t)(7(t)L2(R)),7(t)Fourier,.,7a,b(t)=ûaû-127t-baa(bRa0),:a;b.()f(t)L2(R)Cf(a,b)=ûaû-12+-f(t)73t-badt,,Cf(a,b)f(t)(a,b),f(t),,ûCf(a,b)û2(a,b)f(t).1.2::,;:C,C©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:,,;:(),;:(),.,ab.,(a,b),()b()a.,[8].2,,[9],.,,;,(),2,,.,,2.,.,2.Morlet,,[10].Morlet(1).1Fig.1Continuouswavelettransformoflogsignals1aGR,,,0.125m,411m;(API),,;1bMorlet.,,()b,,(m),a,,(m),,2,,a=120.125=0.25m;1c,da1,a2.2.1.,7333:©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(t)R,.1(b),(a261),(a105157),(a25).,1c,d.,,aT.,,aT.MorletGaussian,,aT[11].2.21,(),,,(2)12GRFig.2Wavelettransformoflogcurve(GR)inJiyangsagandthegeologicalmeaning2.,(a=20,72,264)(a=20,72)(2).,..3,,,,[12].,.,,,,.,,[13].,,,,.83332©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[1],.[J].,2001,30(1):14218.[2],,,.[J].,1996,26(1):78282.[3].[J].,1998,22(1):71275.[4],,,.[J].,1998,10(3):49251.[5],,.[J].,1994,29(4):4412448.[6]AndreasP,FrederikPA.Detectionofsedimentarycyclicityandstratigraphiccompletenessbywaveletanalysis:anapplicationtolateAlbiancyclostratigraphyofthewesternCanadasedimentarybasin[J].JournalofSedimentaryResearch,1999,69(4):8622875.[7],,.[J].,1998,33(1):72278.[8],,.Matlab[M].:2000.1,275.[9].[J].,1999,34(1):58263.[10],,.50[J].,1997,16(1):81293.[11]MeyersSD,KellyBG,BrienJJO.Anintroductiontowaveletanalysisinoceanographyandmeteorology:withapplicationtothedispersionofYannaiwaves[J].MonWeaRev,1993,121:285822866.[12],,,.[J].,1997,(4):48251.[13].[J].,1997,(324):1212.WaveletTransformofLoggingDataandItsGeologicalSignificanceYUJi2feng1,2,LIZeng2xue2(1.SchoolofResourceandGeoscience,CUMT,Xuzhou,Jiangsu221008,China;2.CollegeofGeoInfoSciandEngin,SUST,Taian,Shandong271019,China)Abstract:Advantageofwavelettransformintime2frequencyanalysiswasexpoundedandthedefinitionandstepsofwavelettransformwasintroduced.ThewellloggingdatafromawellinJiyangsagwereprocessedthroughcontinuouswavelettransformforcasestudy.Theresultshowsthatthecurvetransformedfromoriginalloggingsignalcanclearlyrevealthegeologicalcyclesondifferentscales,andthreedifferentlevelsofmutationsectionsorpointsinthebedsuccessionhavebeendetected,whichisofimportantsignificanceinrecognizingthecelestialcyclepreservedinstrata,quantitativelydescribingthegeologicalprocessandsolvingthebasicgeologicalproblemsofsedimentationrateandstratigraphiccompleteness.Keywords:loggingdata;wavelettransform;scale;geologicalcycle;third2ordermutation.()9333:©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.

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