The numerical simulation of realistic reservoir can be computationally demanding because of the large number of system unknowns. It also leads to be greatly increased for computational cost of production optimization and history matching process of closed-loop reservoir management. Improving reservoir simulation speed is the urgent problem to be solved. At present, the trajectory piecewise-linear (TPWL) reduced order method is be widely used in the nonlinear system. The nonlinear system can be represented as a weighted combined piecewise linear system. The TPWL method is more efficient for the model reduction of nonlinear systems, but the disadvantage of this method is that when the state is in the vicinity of the linear points, the TPWL method does not have large distortion; otherwise, if the state is far away from the points, the distortion is obvious. In this paper, we improve the TPWL method from the weighting function, and it is applied to reservoir simulator, which can greatly reduce the dimension of reservoir model, so as to reduce the calculation time and improve the operation speed.
Keywords: reservoir simulation; model order reduction; trajectory piecewise-linear
