Abstract
During seismic wave propagation on a free surface, a strong material contrast boundary develops in response to interference by P- and S- waves to create a surfacewave phenomenon. To accurately determine the effects of this interface on surface-wave propagation, the boundary conditions must be accurately modeled. In this paper, we present a numerical approach based on the dynamic poroelasticity for a space–time-domain staggeredgrid finite-difference simulation in porous media that contain a free-surface boundary. We propose a generalized stess mirror formulation of the free-surface boundary for solids and fluids in porous media for the grid mesh on which lays the free-surface plane. Its analog is that used for elastic media, which is suitable for precise and stable Rayleigh-type surface-wave modeling. The results of our analysis of first kind of Rayleigh (R1) waves obtained by this model demonstrate that the discretization of the mesh in a similar way to that for elastic media can realize stable numerical solutions with acceptable precision. We present numerical examples demonstrating the efficiency and accuracy of our proposed method.
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Acknowledgments
We are very grateful for the constructive comments of the reviewers, Prof., Yang Dinghui, Tang Jie, Liu Yang, and Dr. Li Hui.
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This work was sponsed by National Natural Science Foundation of China (NSFC, Grant No. 41304077), the Natural Basic Research Program of China (the “973 Project,” Grant No. 2013CB733303), and Postdoctoral Science Foundation of China (Grant No. 2014T70740).
Zhang Yu Ph.D. associate professor in Department of Geophysics of Wuhan University. His main research interests are seismic wave propagation and image, rock physics and near surface geophysical survey.
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Zhang, Y., Ping, P. & Zhang, SX. Finite-difference modeling of surface waves in poroelastic media and stress mirror conditions. Appl. Geophys. 14, 105–114 (2017). https://doi.org/10.1007/s11770-017-0601-5
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DOI: https://doi.org/10.1007/s11770-017-0601-5