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TTI介质隐式有限差分平面波偏移
引用本文:韩利,韩立国,巩向博,单刚义,崔杰.TTI介质隐式有限差分平面波偏移[J].地球物理学报,2011,54(4):1090-1097.
作者姓名:韩利  韩立国  巩向博  单刚义  崔杰
作者单位:吉林大学,长春 130026
基金项目:国家"973"项目,国家"863"项目
摘    要:文章研究了TTI介质隐式有限差分(IFD)波场外推算子和TTI介质平面波偏移.与各向同性和VTI介质相比,TTI介质频散关系要复杂的多,很难得到频散关系的显性表达,也不能再只用对称的偶函数表示,需要加入一个奇函数.文中设计TTI介质IFD波场外推算子并用非线性优化方法求解算子系数.将各向同性介质下平面波偏移理论与TTl...

关 键 词:平面波偏移  TTI介质偏移  各向异性偏移  TTI介质波场外推  隐式有限差分算子
收稿时间:2010-06-09

Implicit finite-difference plane wave migration in TTI media
HAN Li,HAN Li-Guo,GONG Xiang-Bo,SHAN Gang-Yi,CUI Jie.Implicit finite-difference plane wave migration in TTI media[J].Chinese Journal of Geophysics,2011,54(4):1090-1097.
Authors:HAN Li  HAN Li-Guo  GONG Xiang-Bo  SHAN Gang-Yi  CUI Jie
Institution:Jilin University, Changchun, 130026, China
Abstract:Implicit finite-difference (IFD) extrapolation operator and plane wave migration in TTI media are studied in this paper. Compared to isotropic and VTI media, the dispersion relation of TTI media is much more complicated. It is difficult to get the explicit expression of the dispersion relations. It needs no longer only a symmetrical even function like isotropic and VTI media but also an odd function to express the dispersion relations. We design TTI medium IFD wave-field extrapolation operator and solve operator coefficients by non-linear optimization method. We combine the theory of plane wave migration in isotropic media with the IFD operator in TTI media and extend plane wave migration to TTI media. Comparing the dispersion curves and migration impulse response of the IFD extrapolation operator with the theoretical solution verifies the high accuracy of the operator. Synthetic P-wave data from full elastic TTI equation modeling followed by polarization analysis verifies the accuracy and effectiveness of the method.
Keywords:Plane wave migration  TTI media migration  Anisotropic migration  TTI media wave-field extrapolation  Implicit finite-difference operator
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