SPE Annual Technical Conference and Exhibition 1990
DOI: 10.2118/20740-ms
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Efficient Use of Domain Decomposition and Local Grid Refinement in Reservoir Simulation

Abstract: In order to get desired accuracy in reservoir simulation, one must refine the grid in certain regions, for example, the regions around wells. When this is done in conventional simulators, unnecessary refinement occurs in some regions. This problem is avoided by the use of "Local Grid Refinement" (LGR) techniques, but the resulting matrix is large and of irregular sparsity. In this paper we address several practical aspects of some methods of LGR, including practical aspects of some methods of LGR, including th… Show more

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Cited by 30 publications
(18 citation statements)
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“…10). In a first step the solution of the basic grid model will be calculated, giving the boundary conditions for the solution of the equations for the refined areas, which will be solved in a second step.…”
Section: Mathematical Backgroundmentioning
confidence: 99%
“…10). In a first step the solution of the basic grid model will be calculated, giving the boundary conditions for the solution of the equations for the refined areas, which will be solved in a second step.…”
Section: Mathematical Backgroundmentioning
confidence: 99%
“…However, the accuracy of their numerical scheme is reported to be low because a direct subtraction of pressures of two adjacent blocks is used to calculate the Darcy velocity across the block interface (Rasaei and Sahimi 2009). Nacul et al (1990) proposed an LGR technique using a domain decomposition method, in which overlapping boundaries are used for the subdomains. Karimi-Fard and Durlofsky (2012) presented an unstructured LGR method, and the well block is fully refined and solved at a fine scale to determine the effective properties that can be used for coarse-grid simulations over the reservoir domain.…”
Section: Introductionmentioning
confidence: 99%
“…Local grid refinement (LGR) has been developed with this idea. Cartesian LGR (Cimet and Sweet 1973;Nacul 1991) and hybrid LGR (Pedrosa and Aziz 1986) are two well-known types of LGR. Because these grids are based on a Cartesian grid, both have difficulty aligning the grid lines with complex features and boundaries.…”
Section: Introductionmentioning
confidence: 99%