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 - <p style="text-align: justify;">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 &nbsp;and efficient and the absolute permeability can be
satisfactorily recovered.</p>