The TPWL Model Order Reduction Method of Accelerating Reservoir Numerical Simulation

Under the existing calculation conditions, improving reservoir simulation computing speed is of great significance, and it is a hot research issue in the world. At present, although the proper orthogonal decomposition (POD) method can be applied to the nonlinear reservoir simulation system, the acceleration is limited, because in the simulation process, each iteration step requires the construction and projection of the full order Jacobian matrix. Trajectory piecewise-linear (TPWL) reduced order method is be widely used in nonlinear system. The nonlinear system is represented as a weighted combined piecewise linear system. In this paper, the TPWL model reduction method 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.

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