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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Seismic impedance inversion using l 1-norm regularization and gradient descent methods

1Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, P. O. Box 9825, Beijing, 100029, P. R. China.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 7, Pages 823–838, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.005, February 2011

Publication History

Received:
2010-08-20
Revised:
2010-12-02
Published Online:
2011-02-24

Abstract

We consider numerical solution methods for seismic impedance inversion problems in this paper. The inversion process is ill-posed. To tackle the ill-posedness of the problem and take the sparsity of the reflectivity function into consideration, an l 1 norm regularization model is established. In computation, a nonmonotone gradient descent method based on Rayleigh quotient for solving the minimization model is developed. Theoretical simulations and field data applications are performed to verify the feasibility of our methods.

Keywords.: Impedance inversion; optimization; regularization

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