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Geophysical applications of a novel and robust L1 solver

Yunyue Li, Yang Zhang, and Jon Claerbout


L1-norm is better than L2-norm at dealing with noisy data and yielding blocky models, features crucial in many geophysical applications. In this report, we develop a hybrid-norm solver proposed by Claerbout (2009) to perform L1 regressions. The solver is tested on a 1-D field RMS velocity inversion, a 2-D regularized Kirchhoff migration inversion and a 2-D velocity analysis problem. The results of the inversions show that this solver can yield ``blocky'' models, and has the advantage of straightforward parametrization.