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《Chinese Journal of Geophysics》 2012-10
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Structure-preserving modeling for seismic wavefields based upon a multisymplectic spectral element method

WANG Wen-Shuai 1,2,LI Xiao-Fan1,LU Ming-Wen1,ZHANG Mei-Gen1 1 Key Laboratory of the Earth′s Deep Interior,CAS,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China  
In recent years,structure-preserving algorithms effective for treating problems of high-precision and long-time tracing have emerged as one attractive topic of the numerical simulation of seismic waves.In this paper,a new kind of time-space structure-preserving algorithm,which combines the spectral element method(SEM) in spatial discretization with a new three-stage third-order symplectical algorithm(NTSTO) in temporal discretization,is designed to simulate seismic wave propagation.The comparisons of numerical experiments show that the NTSTO-SEM algorithm is much superior to the other methods in terms of efficiency,long-time tracing ability,stability,and low storage requirement.Finally,the numerical experiments of a multilayered model with irregular topography are given to illustrate the effectiveness of NTSTO-SEM for handling complex geometry and complex media.These appealing features of the multisymplectic algorithm would make it effective to model the large-scale and long-time seismic wave propagation.
【Fund】: 国家自然科学基金项目(41174047、40874024、41204041);; 国家重点基础研究发展计划“973”计划(2007CB209603)联合资助
【CateGory Index】: P315.31
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