Practical considerations for adaptive implicit methods in reservoir simulation

DOI10.1016/0021-9991(86)90127-0zbMath0605.76104OpenAlexW2050075173MaRDI QIDQ1083967

P. H. Sammon, Peter A. I. Forsyth

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90127-0

zbMATH Keywords

incomplete LU factorizationadaptive implicit methodcriteria for switching cells

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99)

Related Items (16)

A new four-phase adaptive implicit method for compositional reservoir simulation ⋮ Computing derivative information of sequentially coupled subsurface models ⋮ Comparison of the single-phase and two-phase numerical model formulation for saturated-unsaturated groundwater flow ⋮ High resolution adaptive implicit method for reactive transport in heterogeneous porous media ⋮ Trust-region based solver for nonlinear transport in heterogeneous porous media ⋮ Large scale cavity dissolution: from the physical problem to its numerical solution ⋮ Consistent upwinding for sequential fully implicit multiscale compositional simulation ⋮ Nonlinear domain decomposition scheme for sequential fully implicit formulation of compositional multiphase flow ⋮ Coupling-strength criteria for sequential implicit formulations ⋮ Modified sequential fully implicit scheme for compositional flow simulation ⋮ An implicit local time-stepping method based on cell reordering for multiphase flow in porous media ⋮ Conservative multirate multiscale simulation of multiphase flow in heterogeneous porous media ⋮ Supporting theory for a block approximate inverse preconditioner ⋮ Dissipation-based continuation method for multiphase flow in heterogeneous porous media ⋮ Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions ⋮ An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation

Cites Work

• Incomplete factorization methods for three-dimensional non-symmetric problems
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Incomplete Factorization Methods for Fully Implicit Simulation of Enhanced Oil Recovery
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix

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