... in the reservoir. The resultant matrix for the finite difference numerical solution is large, banded, and sparse. P. 293^ SPE Society of Petroleum Engineers SPE 16021 Parallel Iterative Linear Equation Solvers: An Investigation of Domain Decomposition Algorithms for Reservoir Simulation by J.E. Killough...

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... of the adjoint equation (named CPRA). The CPRA preconditioner has been coupled with an Algebraic Multi Grid (AMG) linear solver and implemented in Chevron's in-house reservoir simulator. The AMG solver is well known for its outstanding capability to solve the pressure equation of complex reservoir models...

... complexity of the wells is handled in the linear operators used in the Krylov solvers. The new method can be implemented in reservoir simulators by building on existing preconditioner components, and can improve simulation times for complex cases, in particular those with many wells and perforations...

... Reservoir Discussions of Practical Simulation Performance Comparisons with AMG Solver The linear solver settings for solving the pressure linear system affects the performance comparisons between the fine-scale AMG pressure solver and the multiscale pressure solver runs. For an example, convergence...

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... nature. However, the linear system of equations usually exhibits strong global coupling and can be quite difficult to solve. Moreover, the linear solver is usually the most demanding (time consuming) computational kernel in a simulation run. The linear systems obtained in reservoir simulation have...

.... It combines block diagonal scaling, equilibration, reordering and threshold-base incomplete LU factorization to form a robust linear solver. Several parallel variations of the SWIFT algorithm were evaluated and implemented. The new solver algorithm was implemented in the reservoir simulator and applied...

.... , Nguyen , T. , and Larson , J. , " The Use of Vectorization and Parallel Processing for Reservoir Simulation ," in: SPE-16025-MS, SPE: Society of Petroleum Engineers , Jan. 1 , 1987 4. Killough , J. E. and Wheeler , M. F. , " Parallel Iterative Linear Equation Solvers...

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... techniques for solving large scale reservoir simulation problems are preconditioned conjugate gradient like methods. However, the more robust preconditioners such as nested factorization and ILU factorization are not suitable for parallel computers. This paper describes a parallel linear equation solver...

... and scalable two-stage preconditioners. The paper is organized as follows: In the Model Formulation section, we introduce the reservoir simulation equations and briefly discuss properties of the resulting linear system. We also describe the two-stage solver framework based on CPR. In the Multigrid...

... Abstract In reservoir simulation, algebraic multigrid (AMG) solvers are the most effective solvers for linear systems arising from the discretization of pressure equations. The AMG solvers are also important components for many multi-stage preconditioners. In this paper, we introduce our work...

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