Lebedev grid high-order finite-difference modeling and elastic wave-mode separation for TTI media
Huang Jinqiang1, Li Zhenchun1, Huang Jianping1, Zhang Jinmiao2, Sun Wenbo2
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. CNOOC Research Institute, Beijing 100028, China
Abstract：Since conventional staggered grid high-order finite-difference shows low accuracy for forward modeling in TTI media,and elastic wave-mode separation in heterogeneous TTI media is incomplete,we develop an integrated processing workflow of modeling with Lebedev grid high-order finite-difference scheme and elastic wave-mode separation.First,based on the first-order partial derivative elastic wave velocity-stress equations,the TTI medium Lebedev grid high-order finite-difference recurrence formula is constructed.Then low-rank decomposition algorithm is employed to solve space-wavenumber domain separation operator composed of polarized vectors.Finally the operator is used to separate compressional wave or shear wave from velocity components.Thus we achieve the perfect combination of Lebedev grid high-order finite-difference scheme with compressional and shear wave separation,and build an integrated processing workflow of modeling with Lebedev grid high-order finite-difference scheme and elastic wave-mode separation for TTI media.Numerical tests on homogeneous model,layered model and complex BP2007 model demonstrate three advantages of our proposed approach:①Our proposed approach produces high-precision vector wave fields because the interpolation error related to staggered grid strategy can be significantly eliminated by selecting Lebedev grid finite-difference scheme; ②Our proposed approach completely separates elastic wave fields and obtain decoupled qP-and qSV-waves using low-rank decomposition algorithm; ③the proposed approach shows strong adaptability to complex heterogeneous medium.
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