Expanded approximate analytic discretization and elastic wave numerical simulation
Wang Yong1,2, Duan Yanwen1,2, An Yifan1,2, Wang Xiaocong3, Gui Zhixian1,2
1. Geophysics and Oil Resource Institute, Yangtze University, Wuhan, Hubei 430100, China; 2. Key Laboratory of Exploration Technologies for Oil and Gas Resources, the Ministry of Education, Yangtze University, Wuhan, Hubei 430100, China; 3. BGP International, BGP Inc., CNPC, Zhuozhou, Hebei 072751, China
Abstract：The seismic wave numerical simulation is the foundation of the seismic wave theory,migration imaging and seismic inversion.The accuracy of numerical simulation has a great significance for seismic exploration.This paper discusses an expanded approximate analytic discretization method for seismic wave numerical simulation,and theoretically analyses its accuracy,dispersion relations,stability,and computational efficiency.This method is one order higher in time difference than before,thereby the calculation accuracy is improved.Simulation results demonstrate that the maximum error rate is 88% lower than before.As other approximate analytic discretization methods,the proposed method has advantages of shorter operator radius and better adaption to too-coarse grids.In the smallest main wavelength it needs only 5.9 grid points.Compared with the dispersion curves and the simulation results with the fourth-order LWC and the staggered-grid finite difference scheme,the proposed method can better suppress numerical dispersion.Finally with the proposed method we numerically simulate elastic waves in the isotropic homogeneous medium model and horizontal layered medium model.Very clear and accurate seismic characteristics demonstrate the practicability of the proposed method.
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