Structure-preserving modeling for seismic wavefields based upon a multisymplectic spectral element method
Structure-preserving modeling for seismic wavefields based upon a multisymplectic spectral element method
复制标题
基于多辛谱元法的地震波场保结构建模
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Zhang Mei-Gen
中科院分区：
文献类型：
--
作者：
汪文帅;Li Xiao-Fan;Lu Ming-Wen;Zhang Mei-Gen
近年来，在地震波数值模拟中，有效地处理高精度、长时间追踪问题的结构保持算法已成为一个引人注目的研究课题.本文提出了一种新的时空结构保持算法，它将空间离散的谱元法（SEM）和时间离散的三阶段三阶辛算法（NTSTO）相结合，数值实验的比较表明，NTSTO-SEM算法在效率、长时间跟踪能力、稳定性和低存储要求等方面均上级其他方法。通过一个不规则地形多层模式的数值试验，验证了NTSTO方法的有效性。多辛算法的这些特点使得它能够有效地模拟大规模、长时间的地震波传播。
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.