复杂介质小波多尺度井间地震层析成像方法研究
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摘要
复杂介质井间地震层析成像是一个很复杂的非线性反演问题 ,常规的线性化反演方法无法得到好的解 .采用基于图形的弯曲射线追踪方法 ,并将小波多尺度思想引入到井间层析成像 ,提出了小波多尺度井间地震层析成像方法 ,很好地解决了非线性成像的难题 ,提高了图像的质量和分辨率 .物理模型实验结果表明 ,该方法适合于复杂介质成像 ,并具有良好的实用性和效果 .
Crosshole seismic tomography in complex media is a very complicated nonlinear inverse problem. It is difficult to obtain a satisfactory and clear image by using linearized tomographic method. This paper proposes a wavelet transform based on multi-scale inverse method of seismic travel-time tomography using the forwarding method of the graph based on bending ray tracing. This method effectively solves the difficulty of nonlinear tomography, overcomes the drawbacks of the linearized inverse methods and enhances the tomographic resolution. The results of physical modeling show that the method is high resolution, suitable to complicated models and good effect.
Crosshole seismic tomography in complex media is a very complicated nonlinear inverse problem. It is difficult to obtain a satisfactory and clear image by using linearized tomographic method. This paper proposes a wavelet transform based on multi-scale inverse method of seismic travel-time tomography using the forwarding method of the graph based on bending ray tracing. This method effectively solves the difficulty of nonlinear tomography, overcomes the drawbacks of the linearized inverse methods and enhances the tomographic resolution. The results of physical modeling show that the method is high resolution, suitable to complicated models and good effect.
引文
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[10] 裴正林,余钦范.基于小波变换和BP神经网络的地震波初至拾取方法.勘察科学技术,1999,(4):21～25PEIZhenglin,YUQinfan.WavelettransformandBPneuralnetworkbasedseismicwavefirstarrivalpickupmethod.InvestigationTechnique(inChinese).1999,(4):21～25
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[2] 陈小宏,牟永光.地震波动方程反演的多重网格方法.中国地球物理学会年刊,1995:154CHENXiaohong,MUYongguang.Amulti gridmethodforseismicwaveequation.AnnualoftheChineseGeophysicalSociety(inChinese),1995:154
[3] 钱建良,刘家琦.波动方程反问题的多尺度反演方法.中国地球物理学会年刊,1995:157QIANJianliang,LIUJiaqi.Multi scaleinversionmethodofwaveequationinversion.AnnualoftheChineseGeophysicalSociety(inChinese),1995:157
[4] 裴正林,余钦范.小波变换多尺度地震走时层析成像方法.地球学报,1999,20(增):830～835PEIZhenglin,YUQinfan.Crossholeseismictravel timetomographicmethodbywaveletmulti scale.ActaGeoscientiaSinica(inChinese),1999,20(Suppl.):830～835
[5] 裴正林,余钦范.小波多尺度井间地震波形层析成像方法.石油地球物理勘探,2001,36(6):680～689PEIZhenglin,YUQinfan.Tomographicmethodofcross holeseismicwaveformbywaveletmulti scale.OilGeophysicalProspecting(inChinese),2001,36(6):680～689
[6] MallatS .Amultiresolutionsignaldecomposition:Thewaveletrepresentation.IEEETrans.Patt.Anl.MachineIntell.,1989,11(7):674～693
[7] PaigeCC ,SaundersMA .LSQR :Sparselinearequationsandleastsquaresproblems.ACMTrans.Math.Softw.,1982,8:43～71
[8] PrattRP .Seismicwaveforminversioninthefrequencydomain,Part1:Theoryandverificationinaphysicalscalemodel.Geophysics,1999,64(3):888～901
[9] 裴正林,余钦范,狄帮让.井间地震层析成像分辨率研究.物探与化探,2002,26(3):218～224PEIZhenglin,YUQinfan,DIBangrang.Resolutionincrossholeseismictomography.GeophysicalandGeochemicalExploration(inChinese),2002,26(3):218～224
[10] 裴正林,余钦范.基于小波变换和BP神经网络的地震波初至拾取方法.勘察科学技术,1999,(4):21～25PEIZhenglin,YUQinfan.WavelettransformandBPneuralnetworkbasedseismicwavefirstarrivalpickupmethod.InvestigationTechnique(inChinese).1999,(4):21～25
[11] MoserTJ.Shortestpathcalculationofseismicrays.Geophysics,1991,56(1):59～67
[12] ReiterDT ,RodiW .Nonlinearwaveformtomographyappliedtocrossholeseismicdata.Geophysics,1996,61(3):902～913
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