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A Strong Stability-Preserving Predictor-Corrector method for the Simulation of Elastic Wave Propagation in Anisotropic Media

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Communications in Computational Physics 2012年第9期12卷 1006-1032页

作者： D.H.Yang N.Wang E.Liu Department of Mathematical Sciences Tsinghua UniversityBeijing 100084P.R.China Department of Geophysics China University of Mining and TechnologyXuzhouJiangsu ProvinceP.R.China

In this paper,we propose a strong stability-preserving predictor-corrector(sspc)method based on an implicit Runge-Kutta method to solve the acoustic-and elastic-wave *** first transform the wave equations into a system of ordinary differential equations(ODEs)and apply the local extrapolation method to discretize the spatial high-order derivatives,resulting in a system of semi-discrete *** we use the sspc method based on an implicit Runge-Kutta method to solve the semi-discrete ODEs and introduce a weighting parameter into the sspc *** top of such a structure,we develop a robust numerical algorithm to effectively suppress the numerical dispersion,which is usually caused by the discretization of wave equations when coarse grids are used or geological models have large velocity contrasts between adjacent ***,we investigate the performance of the sspc method including numerical errors and convergence rate,numerical dispersion,and stability criteria with different choices of the weighting parameter to solve 1-D and 2-D acoustic-and elastic-wave *** the sspc is applied to seismic simulations,the computational efficiency is also investigated by comparing the sspc,the fourth-order Lax-Wendroff correction(LWC)method,and the staggered-grid(SG)finite *** of synthetic waveforms computed by the sspc and analytic solutions for acoustic and elastic models are given to illustrate the accuracy and the validity of the ***,several numerical experiments are conducted for the geological models including a 2-D homogeneous transversely isotropic(TI)medium,a two-layer elastic model,and the 2-D SEG/EAGE salt *** results show that the sspc can be used as a practical tool for large-scale seismic simulation because of its effectiveness in suppressing numerical dispersion even in the situations such as coarse grids,strong interfaces,or high frequencies.

关键词： sspc method seismic wavefield modeling anisotropy numerical dispersion shearwave splitting

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