Parallel block inversion of geophysical data

Victor L. Pereyra

doi:10.1117/12.164838

1 December 1993 Parallel block inversion of geophysical data

Victor L. Pereyra

Proceedings Volume 2033, Mathematical Methods in Geophysical Imaging; (1993) https://doi.org/10.1117/12.164838
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

We present an automatic blocking algorithm for some medium size nonlinear least squares problems that arise in the inversion of travel time data in geophysics. This blocking leads to a nonlinear Gauss-Seidel type iteration which can be distributed to a network of computers. The low dimensional blocks are also amenable to global optimization methods which leads to further parallelization. All this is necessary because the original problem is generally non- convex, ill-conditioned, with a goal functional that is very expensive to evaluate.

Citation Download Citation

Victor L. Pereyra "Parallel block inversion of geophysical data", Proc. SPIE 2033, Mathematical Methods in Geophysical Imaging, (1 December 1993); https://doi.org/10.1117/12.164838

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