| 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. |
