Simulation of the Seismic Response of Two Different Thick Deposition Layers with Hybrid PSM/FDM Method

Abstract:

In this paper, we simulated two-dimension numerical on the strong ground motion through the hybrid scheme based on the pseudo-spectral method (PSM) and finite difference method (FDM). We based on the same focal depth, and 2 different thick deposition layers are used as models to analyze the relationship between site situation and the peak displacement of strong ground motion. The results show that the hybrid PSM/FDM method for seismic wavefield simulation combines with advantages of the pseudospectral method and the finite difference method and makes up for the disadvantage of the pseudospectral method and the finite difference method, so this method can process well the calculation of the discontinuous medium surface, then the calculation accuracy is similar to the pseudospectral method. Through the wavefield simulation it is known that the range of the seismic wavefield the peak ground displacement (PGD) of the thicker deposition is larger and the influence of the secondary surface wave at the basin edge is more obvious. The thicker deposition amplitude of strong ground motion in the basin is larger and the duration is longer, and the reflected wave of which is more obvious and stronger. However, the difference of the site condition has little influence to strong ground motion in the horizontal direction.

• Periodical: Applied Mechanics and Materials (Volumes 353-356)
• Pages: 1858-1866
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.353-356.1858
• Online since: August 2013
• Authors: Wu Jian Yan*, Yu Cheng Shi
• Keywords: Deposition Layer, Hybrid PSM/FDM Method, Lanzhou Basin, Peak Ground Displacement (PGD), Wavefield Simulation

References

[1] Virieux J. 1986. P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method[J]. Geophysics, 51(4): 889-901.

DOI: 10.1190/1.1442147

[2] Witte D C, Richards P G. 1990. The pseudospectral method for simulating wave propagation[C]∥Lee D, Cakmak R, Vichnevetsky R eds. Computational Acoustics: Proceedings of the 2nd IMA CS Symposium on Computational Acoustics . North-Holland, New York: 1-18.

[3] Ozdenvar T, McMechan G A. 1996. Causes and reduction of numerical artifacts in pseudo-spectral wavefield extrapolation[J]. Geophys J Int, 126(3): 819-828.

DOI: 10.1111/j.1365-246x.1996.tb04705.x

[4] Wei Xing, Wang Yanbin. 2010. Hybrid PSM/FDM method for seismic wavefield simulation. Acta Seismologica Sinca, 32(4): 392-400.

[5] Zhao Z, Xu J, Horiuchi S. 2003. Differentiation operation in the wave equation for the pseudospectral method with a staggered mesh[J]. Earth Planets and Space, 53: 327-332.

DOI: 10.1186/bf03352389

[6] Cerjan C, Kosloff D, Kosloff R, Reshef M. 1985. A nonreflecting boundary condition for discrete acoustic and elastic wave equation[J]. Geophysics, 50(4): 705-708.

DOI: 10.1190/1.1441945

[7] Mittet R. 2002. Free-Surface boundary conditions for elastic staggered-grid modeling schemes[J]. Geophysics, 67(5): 1616-1623.

DOI: 10.1190/1.1512752

[8] Wang Y B, Takenaka H, Furumura T. 2001. Modeling seismic wave propagation in a two-dimensional cylindrical whole earth model using the pseudospectral method [J]. Geophys J Int, 145(3): 689-708.

DOI: 10.1046/j.1365-246x.2001.01413.x

[9] Daudt C R, Brail L W, Nowack R L, Chiang C S. 1989. A comparison of finite-difference and Fourier method calculations of synthetic seismograms[J]. Bull Seis SocAmer, 79.

DOI: 10.1785/bssa0790041210

[4] 1210-1230.

[10] Kosloff D. Baysal E. 1982. Forward modeling by a Fourier method [J]. Geophysics, 47(10): 1402-1412.

DOI: 10.1190/1.1441288

[11] Yan Wujian, Wang Yanbin, Shi Yucheng. Simulation of the Seismic Response of 2D Sedimentary Basin with Hybrid PSM/FDM Method. Advanced Materials Research, 2012, Vols. 594-597: 1840-1849.

DOI: 10.4028/www.scientific.net/amr.594-597.1840