1887

Abstract

Summary

Based on a particle lattice model, a dynamic lattice method is proposed to simulate seismic wave propagation in transversely isotropic (TI) media with tilted symmetry axis (TTI media) in the presence of free surface topography. Different from other wave equation based numerical methods, the dynamic lattice approach calculates the micro-mechanical interactions between particles in the lattice instead of solving the wave equation. In the case of TI media, it is a challenge to find the correct particle lattice model which can reflect the anisotropic nature of TI media. Our study reveals the theoretical connection between TI medium and the particle lattice model, allowing us to model elastic seismic waves in TI media. On the other hand, the particle feature of this method makes it convenient to incorporate free surface topography. To achieve this, we only need to remove the particles above the surface topography from the lattice. The free surface boundary condition is automatically implemented through the interactions between particles near the free surface. Numerical results demonstrate the effect of our method in simulating elastic waves in TI media with free surface topography.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201601510
2016-05-30
2024-04-24
Loading full text...

Full text loading...

References

  1. Allen, M. P. and Tildesley, D. J.
    [1987] Computer Simulation of Liquids. Clarendon Press, Oxford.
  2. Del Valle-García, R. and Sánchez-Sesma, F. J.
    [2003] Rayleigh waves modeling using an elastic lattice model. Geophysical Research Letters, 30(16), 1866.
    [Google Scholar]
  3. Lysmer, J. and Drake, L. A.
    [1972] A finite element method for seismology. Methods in Computational Physics, 11, 181–216.
    [Google Scholar]
  4. Monette, L. and Anderson, M. P.
    [1994] Elastic and fracture properties of the two-dimensional triangular and square lattices. Modelling and Simulation in Materials Science and Engineering, 2(1), 53.
    [Google Scholar]
  5. O’Brien, G. S. and Bean, C. J.
    [2004] A 3D discrete numerical elstic lattice method for seismic wave propagation in heterogeneous media with topography. Geophysical Research Letters, 31(14), L14608.
    [Google Scholar]
  6. Thomsen, L.
    [1986] Weak elastic anisotropy. Geophysics, 51(10), 1954–1966.
    [Google Scholar]
  7. Toomey, A., and Bean, C. J.
    [2000] Numerical simulation of seismic waves using a discrete particle scheme. Geophysical Journal International, 141(3), 595–604.
    [Google Scholar]
  8. Virieux, J.
    [1984] SH-wave propagation in heterogeneous media – Velocity-stress finite-difference method. Geophysics, 49(11), 1933–1942.
    [Google Scholar]
  9. [1986] P-SV wave propagation in heterogeneous media – Velocity-stress finite difference Method. Geophysics, 51(4), 889–901.
    [Google Scholar]
  10. Zhang, W., Shen, Y. and Zhao, L.
    [2012] Three-dimensional anisotropic seismic wave modeling in spherical coordinates by a collocated-grid finite-difference method. Geophysical Journal International, 188(3), 1359–1381.
    [Google Scholar]
  11. Zhu, H. J., Zhang, W. and Chen, X. F.
    [2009] Two dimensional seismic wave simulation in anisotropic media by non-staggered finite difference method. Chinese Journal of Geophysics, 52(6), 1536–1546.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601510
Loading
/content/papers/10.3997/2214-4609.201601510
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error