Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 189, Issue 3, Pages 1626-1634Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-246X.2012.05439.x
Keywords
Numerical solutions; Inverse theory; Wave scattering and diffraction
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We present a regularized GaussNewton (GN) inversion method for solving the elastic full-waveform inversion problem in the frequency domain. The main bottleneck of this method is the Jacobian matrix storage and the computational cost of calculating the GN step (the inner-loop calculation). In this work, we managed to reduce the memory usage by calculating the Jacobian matrix on the fly in each inner-loop iteration. By doing so the computational cost of calculating the GN step increases; however, this overhead is mitigated by compressing the field matrices using the adaptive cross approximation scheme. For some cases, this compressed implicit Jacobian scheme may even speed-up the GN step calculation and further regularizes the GN method. As examples, we present inversion results of cross-well seismic and surface seismic data.
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