TY - JOUR T1 - Binary Level Set Methods for Dynamic Reservoir Characterization by Operator Splitting Scheme AU - Yao , Changhui JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 780 EP - 798 PY - 2012 DA - 2012/12 SN - 4 DO - http://doi.org/10.4208/aamm.12-12S09 UR - https://global-sci.org/intro/article_detail/aamm/149.html KW - Dynamic reservoir characterization, binary level set method, operator splitting scheme, the augmented lagrangian method. AB -
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.