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Large-scale reservoir simulation is still a big challenge due to the difficulty of solving linear systems resulted from the Newton methods. For black oil simulation, more than 90% of running time is spent on the solution of linear systems. The problem is getting worse when developing parallel reservoir simulators using parallel distributed systems with tens of thousands of CPUs. Efficient linear solvers and preconditioners are critical to the development of parallel reservoir simulators.

Here we introduce our work on developing parallel preconditioners for highly heterogeneous reservoir simulations. A family of new Constrained Pressure Residual (CPR)-like preconditioners and advanced matrix pre-processing techniques are developed, including two new three-stage preconditioners and one four-stage preconditioners. A pressure system is solved by an algebraic multi-grid method, and the entire linear system is …