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Computational Geosciences

, Volume 20, Issue 5, pp 1043–1060 | Cite as

Interpretation of well-cell pressures on stretched hexagonal grids in numerical reservoir simulation

  • Ivar Aavatsmark
ORIGINAL PAPER

Abstract

Peaceman’s equivalent well-cell radius for 2D Cartesian grids has been generalized to 2D uniform Voronoi grids consisting of stretched hexagons in an isotropic medium. An analytical expression for the equivalent well-cell radius for infinitely fine grids is derived. The derivation is performed by comparison of analytical and numerical solution for boundary value problems with one or two wells. Since the well-cell radius varies slowly with the grid fineness, the found formula can be considered representative for all grid sizes.

Keywords

Peaceman radius Hexagonal grid Discretization Reservoir simulation 

Mathematics Subject Classification (2010)

65N06 76S05 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Uni Research CIPRBergenNorway

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