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Binary Level Set Methods for Dynamic Reservoir Characterization by Operator Splitting Scheme

Published online by Cambridge University Press:  03 June 2015

Changhui Yao
Changhui Yao*
Affiliation:
Department of Mathematics, Zhengzhou University, No. 100 of Science Road, Zhengzhou 450001, Henan, China
*
*Corresponding author. Email: [email protected] (C. H. Yao)
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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.

Keywords

49Q1035R3065J2074G75Dynamic reservoir characterizationbinary level set methodoperator splitting schemethe augmented lagrangian method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 6 , December 2012 , pp. 780 - 798
Copyright
Copyright © Global-Science Press 2012

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