A Real-Field Multiscale Black-Oil Reservoir Simulator

Kozlova, A.; Li, Z..; Natvig, Jostein R.; Watanabe, Shingo; Zhou, Yijie; Bratvedt, Kyrre; Lee, S.H.. H.

doi:10.2118/173226-ms

Cited by 20 publications

(24 citation statements)

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“…The discrete form of the multiphase poromechanical problem (1) is obtained by introducing expressions (7), (8), and (10) into the weak form (5). This leads to a system of nonlinear equations at time t n ,…”

Section: Newton-krylov Solvermentioning

confidence: 99%

“…The preconditioning operator for the approximate Schur complement S (fs) ff is built following the Constrained Pressure Residual (CPR) approach [1,2,5]. This is a multistage strategy that combines preconditioners with different features in a multiplicative fashion.…”

Section: Flow Preconditionermentioning

confidence: 99%

“…This is a multistage strategy that combines preconditioners with different features in a multiplicative fashion. In general, given a matrix B in R n×n , a multiplicative multistage preconditioner M −1 B for B can be written as [5]…”

Section: Flow Preconditionermentioning

confidence: 99%

“…Note that in a more general formulation where multiple saturation or compositional variables are present, the CPR reduction leads to block-diagonal matrices with small, dense blocks corresponding to degrees of freedom coupled in each cell. See [5] for details. With these diagonal approximations, the second-level Schur complement may be approximated as…”

Section: Flow Preconditionermentioning

confidence: 99%

“…In essence, the CPR preconditioner uses separate stages to damp error modes associated with (i) the nearly-hyperbolic behavior of the saturation (or composition) variables and (ii) the nearly-elliptic character of the pressure variables. The standard reservoir simulator implementation [3][4][5][6][7][8][9] couples Incomplete LU (ILU) factorizations, effective for the hyperbolic part, with an algebraic multigrid (AMG) method, well-suited for the elliptic part. A variant of CPR preconditioning that replaces AMG by a multiscale finite volume (MSFV) or finite element (MSFE) solver was proposed in [10].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A two-stage preconditioner for multiphase poromechanics in reservoir simulation

White

Castelletto

Klevtsov

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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Many applications involving porous media-notably reservoir engineering and geologic applications-involve tight coupling between multiphase fluid flow, transport, and poromechanical deformation. While numerical models for these processes have become commonplace in research and industry, the poor scalability of existing solution algorithms has limited the size and resolution of models that may be practically solved. In this work, we propose a two-stage Newton-Krylov solution algorithm to address this shortfall. The proposed solver exhibits rapid convergence, good parallel scalability, and is robust in the presence of highly heterogeneous material properties. The key to success of the solver is a block-preconditioning strategy that breaks the fully-coupled system of mass and momentum balance equations into simpler sub-problems that may be readily addressed using targeted algebraic methods. Numerical results are presented to illustrate the performance of the solver on challenging benchmark problems.

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Section: Newton-krylov Solvermentioning

confidence: 99%

Section: Flow Preconditionermentioning

confidence: 99%

Section: Flow Preconditionermentioning

confidence: 99%

Section: Flow Preconditionermentioning

confidence: 99%