Year: 2012
Author: Changhui Yao
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 780–798
Abstract
In this paper, operator splitting scheme for dynamic reservoir characterization by binary level set method is employed. For this problem, the absolute permeability of the two-phase porous medium flow can be simulated by the constrained augmented Lagrangian optimization method with well data and seismic time-lapse data. By transforming the constrained optimization problem in an unconstrained one, the saddle point problem can be solved by Uzawas algorithms with operator splitting scheme, which is based on the essence of binary level set method. Both the simple and complicated numerical examples demonstrate that the given algorithms are stable and efficient and the absolute permeability can be satisfactorily recovered.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-12S09
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 780–798
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Dynamic reservoir characterization binary level set method operator splitting scheme the augmented lagrangian method.