HR: 0830h
AN: S41E-0131    [PDF]
TI: Finite-difference modeling of the P-SV wave equation with mimetic methods
AU: Rojas, O
EM: rojas@sciences.sdsu.edu
AF: Computational Science Research Center, 5500 Campanile Dr San Diego State University, San Diego, CA 92182 United States
AU: * Mellors, R J
EM: rmellors@geology.sdsu.edu
AF: Department of Geological Sciences, 5500 Campanile Dr San Diego State University, San Diego, CA 92182 United States
AU: Castillo, J
EM: castillo@myth.sciences.sdsu.edu
AF: Computational Science Research Center, 5500 Campanile Dr San Diego State University, San Diego, CA 92182 United States
AU: Day, S
EM: day@moho.sdsu.edu
AF: Department of Geological Sciences, 5500 Campanile Dr San Diego State University, San Diego, CA 92182 United States
AB: Finite-difference methods are often used to model elastic waves. Recently, mimetic finite-difference methods have been developed which attempt to match the underlying fundamental identities such as the gradient, divergence, and curl, which ensure physically meaningful results even on non-uniform grids. Computational experience with other equations (such as Maxwell's equations) has shown that these discretizations have excellent properties for both inhomogeneous and anisotropic materials on non-smooth grids. We have developed a fourth order 2D mimetic discretization of the P-SV wave equation and will compare accuracy and speed with standard finite-difference codes as well as with analytic solutions. We are working on a 3D implementation of the code. A primary goal is to test use of the discretization for problems involving near-surface seismic wave propagation in areas with significant surface topography and velocity gradients as encountered in reflection seismic static corrections or (at a larger scale) propagation of regional seismic waves such as Lg.
DE: 0689 Wave propagation (4275)
DE: 3210 Modeling
DE: 7203 Body wave propagation
DE: 7260 Theory and modeling
SC: Seismology [S]
MN: 2003 Fall Meeting