High-precision numerical simulation of first-order qP-waves in the transversely isotropic (TI) medium optimized by the LS-RSGFD method

作者：Li Zhen-Chun^*; Yang Fu-Sen^*; Wang Xiao-Dan

来源：Acta Geophysica Sinica, 2016, 59(4): 1477-1490.

DOI：10.6038/cjg20160428

• TI media
• LS-RSGFD method
• First-order qP-wave
• Numerical simulation
• PML boundary condition
• Control parameter
• Instability

In order to overcome the limitations of anisotropic elastic wave modeling, such as large computational costs, and the difficulty of wave-field separation, we have studied the numerical simulation methods of first-order qP-waves in the acoustic approximated VTI and TTI media. Starting from the acoustic approximated VTI elastic wave equation, we derived the VTI first order qP-wave equation. Then based on the accurate TTI dispersion relation, the stable TTI second-order coupled qP-wave equation was derived by introducing a new auxiliary function including an anisotropic control parameter a, and the equivalent first-order stress-velocity form was deduced. Combining the RSGFD with the LS-FD two advantageous method, we studied the LS-RSGFD method to solve VTI and TTI first-order qP-wave equation numerically, and then implemented high-precision numerical simulation through constructing the LS-RSGFD form of first-order qP-wave equation. Numerical results demonstrate that TI first-order qP-wave equation can describe the kinematics features of qP-waves in anisotropic media; introducing a control parameter can mitigate the instability problem and thus stabilize qP-wave propagation in heterogeneous TTI media; and applying the optimal LS-RSGFD method can acquire high-precision synthetic seismic recordings. Meanwhile it can enhance computational efficiency relatively.

• 出版日期2016-4
• 单位中国石油大学（华东）