Unstable fronts in a porous medium
type: Item
instance of: scholarly article
title: Unstable fronts in a porous medium
zbMATH Open document ID: 0608.76091
DOI: 10.1016/0021-9991(87)90068-4
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: A stochastic numerical scheme is used to follow the motion of a fluid interface through a porous medium. Fluid velocities are computed by Darcy's law, but the interface is advanced at a single point chosen with probability proportional to the pressure gradient. Although the expected result of each time step is proportional to that predicted by a continuum calculation, the discreteness of the scheme excites the (physical) instability which occurs when the fluid initially saturating the porous medium is displaced by a fluid of lower viscosity. The example of a five-spot oil reservoir is studied; predicted sweep efficiencies are slightly higher than experimental results, but the form of the fingering is in good qualitative agreement with experiments, even at high viscosity ratios. Grid orientation effects are low, and the effect of grid size can be reduced if care is taken to preserve trapped islands of fluid.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 3984864
zbMATH Keywords: stochastic numerical scheme
zbMATH Keywords: fluid interface
zbMATH Keywords: porous medium
zbMATH Keywords: Darcy's law
zbMATH Keywords: five-spot oil reservoir
zbMATH Keywords: fingering
zbMATH Keywords: Grid orientation effects
zbMATH Keywords: trapped islands
author: John D. Sherwood
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90068-4
OpenAlex ID: W1992319856
cites work: The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
cites work: Hele-Shaw flow with a cusping free boundary
cites work: Numerical experiments on Hele Shaw flow with a sharp interface
cites work: A predictive Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio
cites work: Random choice solution of hyperbolic systems
cites work: Statistical fluid dynamics: Unstable fingers
cites work: A numerical method for two phase flow with an unstable interface
cites work: The instability of fronts in a porous medium
cites work: Q3942664
cites work: Unstable fingers in two phase flow
cites work: Solute transport in heterogeneous porous formations
cites work: Capillary displacement and percolation in porous media
cites work: Front tracking for hyperbolic systems
cites work: A study of spatial approximations for simulating fluid displacements in petroleum reservoirs
cites work: An analysis of the grid orientation effect in numerical simulation of miscible displacement
description: scientific article; zbMATH DE number 3984864