Extension of split perfectly matched absorbing layer for 2D wave propagation in porous transversely isotropic media
Jin Qian 1 2 4 Shiguo Wu 1 2 Ruofei Cui 31 Key Laboratory of Marine Geology and Environment, Chinese Academy of Sciences, Qingdao, 266071, China.
2 Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China.
3 School of Resource and Geoscience, China University of Mining and Technology, Xuzhou, 221116, China.
4 Corresponding author. Email: qianjin@qdio.ac.cn
Exploration Geophysics 44(1) 25-30 https://doi.org/10.1071/EG12002
Submitted: 9 January 2012 Accepted: 25 September 2012 Published: 13 November 2012
Abstract
The perfectly matched layer (PML) has proven to be efficient in absorbing outgoing waves in elastic and poroelastic media. It has not, however, been applied for porous anisotropic media. We develop the velocity–stress formulation for propagation of seismic waves for fluid-saturated porous anisotropic media with Biot’s equations. Then we extend the split perfectly matched absorbing layer (SPML) to these media and describe the staggered-grid finite-difference scheme. Using fourth-order spatial operators and a second-order temporal operator under 2D Cartesian coordinates, we numerically solve the equations for the solid and fluid particle velocity components, and for the solid stress components and fluid pressure. The energy decay curve we show demonstrates that the algorithm can run stably. Results from the horizontally layered model show that the SPML model absorbs the outgoing wave well, which illustrates the algorithm is efficient for modelling in porous transversely isotropic media.
Key words: modelling, perfectly matched absorbing layer, porous transversely isotropic media, staggered-grid finite-difference.
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