On the upstream mobility scheme for two-phase flow in porous media

When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretising in one dimension with a finite volume method, we investigate two numerical fluxes...

Full description

Saved in:
Bibliographic Details
Published in:Computational geosciences 2010, Vol.14 (1), p.105-124
Main Authors: Mishra, Siddhartha, Jaffré, Jérôme
Format: Article
Language:English
Subjects:
Analysis of PDEs
Capillarity
Computer Science
Earth and Environmental Science
Earth Sciences
Engineering Sciences
Flow velocity
Fluctuations
Fluid mechanics
Fluids mechanics
Geology
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Mathematical Modeling and Industrial Mathematics
Mathematics
Mechanics
Multiphase flow
Nonlinear systems
Numerical Analysis
Original Paper
Petroleum engineering
Physics
Porous materials
Porous media
Rocks
Soil Science & Conservation
Upstream
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretising in one dimension with a finite volume method, we investigate two numerical fluxes, an extension of the Godunov flux and the upstream mobility flux, the latter being widely used in hydrogeology and petroleum engineering. Then, in the case of a changing rock type, one can give examples when the upstream mobility flux does not give the right answer.
ISSN:1420-0597
1573-1499
DOI:10.1007/s10596-009-9135-0