Seismic wavefield simulation by a modified finite element method with a perfectly matched layer absorbing boundary

被引:29
|
作者
Meng, Weijuan [1 ,2 ]
Fu, Li-Yun [1 ]
机构
[1] Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
关键词
numerical simulation; finite element method; storage scheme; element-by-element; PML absorbing boundary condition; HETEROGENEOUS MEDIA; DIFFERENCE; PROPAGATION; ACCURACY; SCALAR; ALGORITHM; EQUATION;
D O I
10.1088/1742-2140/aa6b31
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
The finite element method is a very important tool for modeling seismic wave propagation in complex media, but it usually consumes a large amount of memory which significantly decreases computational efficiency when solving large-scale seismic problems. Here, a modified finite element method (MFEM) is proposed to improve efficiency. Triangular elements are employed to mesh the topography and the discontinuous interface more flexibly. In the two-dimensional case, the Jacobian matrix is obtained by using three controlling points instead of all nodes in each element with MFEM, which separates the Jacobian matrix from the stiffness matrix. The kernel matrices of the stiffness matrix rather than the global matrix are stored, and memory requirements are thus reduced significantly. Meanwhile, the element-by-element scheme is adopted to spare large sparse matrices and make the program easily parallelized. A second-order perfectly matched layer (PML) is also implemented to eliminate artificial reflections. Finally, the accuracy and efficiency of our algorithm are validated by numerical tests.
引用
收藏
页码:852 / 864
页数:13
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