Minimum entropy deconvolution.pdf

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1、GEOPHYSICS,VOL.59,NO.6(JUNE1994);P.938-945,9FIGS.,1TABLE.Minimumentropydeconvolutionwithfrequency-domainconstraints‡MauricioD.Sacchi*,DaniloR.Velis*,andAlbertoH.CominguezABSTRACTband-limiteddata,avoidingtheinherentlimitationsoflinearoperators.Amethodforreconstructingth

2、ereflectivityspec-Theproposedmethodisillustratedunderavarietytrumusingtheminimumentropycriterionispre-ofsyntheticexamples.Fielddataarealsousedtotestsented.Thealgorithm(FMED)describediscomparedthealgorithm.Theresultsshowthattheproposedwiththeclassicalminimumentropydecon

3、volutionmethodisaneffectivewaytoprocessband-limited(MED)aswellaswiththelinearprogramming(LP)data.andautoregressive(AR)approaches.TheMEDisTheFMEDandtheLParisefromsimilarconcep-performedbymaximizinganentropynormwithre-tions.Bothmethodsseekanextremumofaparticularspecttoth

4、ecoefficientsofalinearoperatorthatnormsubjectedtofrequencyconstraints.IntheLPdeconvolvestheseismictrace.Bycomparison,theapproach,thelinearprogrammingproblemissolvedapproachpresentedheremaximizesthenormwithusinganadaptationofthesimplexmethod,whichisarespecttothemissingf

5、requenciesofthereflectivityveryexpensiveprocedure.TheFMEDusesonlytwoseriesspectrum.ThisprocedurereducestoanonlinearfastFouriertransforms(FFTs)periteration;hence,algorithmthatisabletocarryoutthedeconvolutionofthecomputationalcostoftheinversionisreduced.INTRODUCTIONInthi

6、swork,afrequencydomainversionoftheMEDschemeisdeveloped.ThisapproachinvolvesmaximizingaTheminimumentropydeconvolution(MED)techniquegeneralizedentropynormwithrespecttotheseismicreflec-proposedinWiggins(1978)offersadifferentapproach-totivity.DeVriesandBerkhout(1984)invest

7、igatedtheuseofseismicdeconvolution.Whiletheclassicalmethodssuchthesenormstomeasuretheresolvingpowerinthecontextofasspikingdeconvolutionandpredictivedeconvolutionvelocityanalysis.Theparticularnormonwhichwearegoing(RobinsonandTreitel,1980)seektowhitenthespectra,thetofocu

8、sourattention(thelogarithmicnorm)hasalsobeenMEDseeksthesmallestnumberoflargespikesthatareusedfordeconvolutionandwavel