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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


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.