Optimized Staggered-grid FD Method for Elastic Wave Modeling Based on Elastic Plane Wave Solution
P. Yong, J.P. Huang, Z.C. Li, L.P. Qu and Q.Y. Li
Event name: 78th EAGE Conference and Exhibition 2016
Session: Seismic Modelling I
Publication date: 31 May 2016
Info: Extended abstract, PDF ( 1.26Mb )
Price: € 20
Numerous optimized finite-difference (FD) schemes have been presented for scalar wave modeling by minimizing time-space domain dispersion relation errors.While optimization FD schemes for elastic wave numerical simulation are relatively less. In this paper, we develop an optimized FD schemes with equivalent staggered grid for elastic modeling based on the elastic plane wave, which is derived by eigenvalue decomposition method in wavenumber domain. Specifically, we obtain a new time-space dispersion relationship with analytical plane wave solution. The L2-norm of the relative dispersion errors is minimized by the Gauss-Newton algorithm. Dispersion analysis and numerical results have demonstrated that the presented method can achieve high accuracy in time and space domain.