基于Curvelet变换的多尺度分析技术
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摘要
为了更好地描述断层和断裂系统,本文将三维相干体技术与第二代Curvelet变换相结合,基于Curvelet变换良好的多尺度特性和局部滤波功能,提出了多尺度相干体分析方法,并给出了简单的计算公式。该方法在曲波域中给出不同的重构系数,得到突出不同频带的地震数据体,然后再利用相干体算法得到分频相干体。将本文提出的方法应用到实际地震数据中,突出了特定频带范围的地质异常体,提高了解释精度,有助于实现地质目标的精细解释。
In order to better describe faults and fault system,by integrating 3d coherent data volume technique with 2nd generation Curvelet transform and based on excellent multi-scale characteristics and local filtering function,multi-scale coherent data volume analysis technique is developed in this paper,and the simple formula is also introduced.In Qu Bo Binding domain different reconstruction coefficients were derived,seismic data volumes in different frequency bands were calculated and by utilizing coherent volume algorithm the scaling coherent volumes were obtained.The simple method introduced in this paper was applied in real seismic data processing,the geological anomaly within certain frequency band was recognized,thus accurate interpretation can be easily conducted.
In order to better describe faults and fault system,by integrating 3d coherent data volume technique with 2nd generation Curvelet transform and based on excellent multi-scale characteristics and local filtering function,multi-scale coherent data volume analysis technique is developed in this paper,and the simple formula is also introduced.In Qu Bo Binding domain different reconstruction coefficients were derived,seismic data volumes in different frequency bands were calculated and by utilizing coherent volume algorithm the scaling coherent volumes were obtained.The simple method introduced in this paper was applied in real seismic data processing,the geological anomaly within certain frequency band was recognized,thus accurate interpretation can be easily conducted.
引文
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[2]Adam G and Marfurt.Eigenstructure-based cohe-rence computations as an aid to3D structural and stratigraphic mapping.Geophysics,1999,64(5):1446～1479
[3]焦李成,谭山.图像的多尺度几何分析:回顾和展望.电子学报,2003,31(12A):1975～1981
[4]王西文,杨孔庆,刘全新等.基于小波变换的地震相干体算法的应用.石油地球物理勘探,2002,37(4):328～332
[5]Vetterli M,Kovacevic J.Wavelets and subband cod-ing.Prentice Hall PTR Englewood Cliffs New Jersey,1995,171～183
[6]Donoho D Let al.Data compression and harmonic analy-sis.IEEEtrans info theory,1998,44(6):2435～2476
[7]Candes E J,Donoho D L.Curvelet-a surprisingly effective nonadaptive representation for objects with edges.TN:Van-derbilt Univ Press,1999
[8]Candes E,Donoho D L.Continuous curvelet trans-form:resolution of the wavefront:Set[OL].Available www-stat stanford edu/～donoho/reports/2003/con-tcurvelet transform-I.pdf2003,5～6/2004,8～15
[9]张强,郭宝龙.基于Curvelet变换的多光谱图像与全色波段图像融合.系统工程与电子技术,2006,28,(12)
[10]黄薇.Curvelet变换及其在图像处理中的应用研究.西安理工大学:电路与系统,2007
[11]Cands E J,Donoho D L.Newtight frames of curve-lets and opti mal representations of objects with piece-wise-C2singularities.Commun on Pure and Appl Math,2004,57(2):219～266
[12]Cands E J et al.Fast discrete curvelet transforms.Ap-pliedand Computational Mathematics,2005:1～43
[2]Adam G and Marfurt.Eigenstructure-based cohe-rence computations as an aid to3D structural and stratigraphic mapping.Geophysics,1999,64(5):1446～1479
[3]焦李成,谭山.图像的多尺度几何分析:回顾和展望.电子学报,2003,31(12A):1975～1981
[4]王西文,杨孔庆,刘全新等.基于小波变换的地震相干体算法的应用.石油地球物理勘探,2002,37(4):328～332
[5]Vetterli M,Kovacevic J.Wavelets and subband cod-ing.Prentice Hall PTR Englewood Cliffs New Jersey,1995,171～183
[6]Donoho D Let al.Data compression and harmonic analy-sis.IEEEtrans info theory,1998,44(6):2435～2476
[7]Candes E J,Donoho D L.Curvelet-a surprisingly effective nonadaptive representation for objects with edges.TN:Van-derbilt Univ Press,1999
[8]Candes E,Donoho D L.Continuous curvelet trans-form:resolution of the wavefront:Set[OL].Available www-stat stanford edu/～donoho/reports/2003/con-tcurvelet transform-I.pdf2003,5～6/2004,8～15
[9]张强,郭宝龙.基于Curvelet变换的多光谱图像与全色波段图像融合.系统工程与电子技术,2006,28,(12)
[10]黄薇.Curvelet变换及其在图像处理中的应用研究.西安理工大学:电路与系统,2007
[11]Cands E J,Donoho D L.Newtight frames of curve-lets and opti mal representations of objects with piece-wise-C2singularities.Commun on Pure and Appl Math,2004,57(2):219～266
[12]Cands E J et al.Fast discrete curvelet transforms.Ap-pliedand Computational Mathematics,2005:1～43
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