裂缝各向异性介质中P-SV转换波正演模拟
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摘要
裂缝介质正演是研究裂缝性油藏的各向异性、裂缝检测方法、裂缝AVO反演等的前提。在裂缝方位各向异性(EDA)介质模型的基础上,重点研究了纵波震源激发的地震波所产生P-SV波的有限差分正演模拟方法。从各向异性单斜对称系统的刚性矩阵推导出的波动方程,可以满足EDA介质模型不同方位角入射的二维差分模拟要求。在有限差分模拟中,采用了普通的Kelly差分格式、二阶各向异性吸收边界条件和一般的纵波震源的解析形式,并应用修正的通量传输校正(FCT)方法来消除频散。同时,对纵波震源的解析式进行了技术处理,取得了较好的效果。
Forward modeling in fractured medium is the premise which research into fractured anisotropy, fracture detecting methods and AVO inversion. Based on EDA theoretic model in fractured anisotro-py, this paper emphasizes on the finite difference modeling method that only produce P-S wave through P-wave source. Wave equations, which were derivate from the stiffness Matrix of anisotropy monocline symmetry system, may meet different azimuth modeling of 2-D finite difference. The general Kelly difference format, 2nd anisotropy absorbing boundary conditions and the common analytic solution of P-wave are applied during the process of modeling. FCT method is to eliminate disperse, and put forward to technique on P-wave source denotation.
Forward modeling in fractured medium is the premise which research into fractured anisotropy, fracture detecting methods and AVO inversion. Based on EDA theoretic model in fractured anisotro-py, this paper emphasizes on the finite difference modeling method that only produce P-S wave through P-wave source. Wave equations, which were derivate from the stiffness Matrix of anisotropy monocline symmetry system, may meet different azimuth modeling of 2-D finite difference. The general Kelly difference format, 2nd anisotropy absorbing boundary conditions and the common analytic solution of P-wave are applied during the process of modeling. FCT method is to eliminate disperse, and put forward to technique on P-wave source denotation.
引文
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3雍杨,李录明,罗省贤,等.TI介质多波AVA方程及参数反演[J].石油物探.2004,43(1):11-15
4 Yang D H, Liu E, Zhang Z J, et al. Finite-difference modeling in two-dimensional anisotropic media using aflux-corrected transport technique [J]. Geophysical Journal International. 2002, 148(2) :320-328
5 Kelly K R, Ward R W, Treitel S, et al. Synthetic Seis-mograms: a finite-difference approach[J]. Geophysics, 1976, 41(1):2-27
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2邓怀群,刘雯林,赵正茂.横向各向同性介质中纵波和转换波的快速射线追踪方法[J].石油物探.2000,39(4):1~11
3雍杨,李录明,罗省贤,等.TI介质多波AVA方程及参数反演[J].石油物探.2004,43(1):11-15
4 Yang D H, Liu E, Zhang Z J, et al. Finite-difference modeling in two-dimensional anisotropic media using aflux-corrected transport technique [J]. Geophysical Journal International. 2002, 148(2) :320-328
5 Kelly K R, Ward R W, Treitel S, et al. Synthetic Seis-mograms: a finite-difference approach[J]. Geophysics, 1976, 41(1):2-27
6马在田.计算地球物理学概论[M].上海:同济大学出版社,1997.430
7孙成禹.粗糙界面和复杂地表的地震反射特征研究与数值模拟[D],山东东营:石油大学,2001
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