Simulation of two-phase flow in porous rocks on a laboratory scale: Diffusion operator splitting and consistency
type: Item
instance of: scholarly article
title: Simulation of two-phase flow in porous rocks on a laboratory scale: Diffusion operator splitting and consistency
zbMATH Open document ID: 0631.76114
DOI: 10.1016/0045-7825(87)90158-7
author: Øystein Pettersen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The one-dimensional nonlinear saturation convection-diffusion equation in reservoir dynamics is solved numerically by an operator-splitting technique. This splitting, the implicit boundary conditions, and a saturation constraint give rise to an ill-conditioned system of nonlinear discretized equations allowing for multiple solutions which is analyzed. The consistency of the problem regarding grid spacing versus diffusion is discussed, and a simple criterion is given for when diffusion should be omitted in the numerical model
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4027104
zbMATH Keywords: SOFTICE
zbMATH Keywords: simulation by one-dimensional front tracking with inhomogeneities and capillary effects
zbMATH Keywords: one-dimensional nonlinear saturation convection-diffusion equation
zbMATH Keywords: reservoir dynamics
zbMATH Keywords: operator- splitting technique
zbMATH Keywords: implicit boundary conditions
zbMATH Keywords: saturation constraint
zbMATH Keywords: ill-conditioned system of nonlinear discretized equations
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90158-7
OpenAlex ID: W2014476517
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description: scientific article; zbMATH DE number 4027104