Fast algorithms for elastic-wave-mode separation and vector decomposition using low-rank approximation for anisotropic media

Published as Geophysics, 79, no. 4, C97-C110, (2014)

Fast algorithms for elastic-wave-mode separation and vector decomposition using low-rank approximation for anisotropic media

Jiubing Cheng, Tongji University, and Sergey Fomel, Bureau of Economic Geology, The University of Texas at Austin

Abstract:

Wave mode separation and vector decomposition are significantly more expensive than wavefield extrapolation and are the computational bottleneck for elastic reverse-time migration (ERTM) in heterogeneous anisotropic media. We express elastic wave mode separation and vector decomposition for anisotropic media as space-wavenumber-domain operations in the form of Fourier integral operators, and develop fast algorithms for their implementation using their low-rank approximations. Synthetic data generated from 2D and 3D models demonstrate that these methods are accurate and efficient.