Collocation Simulation of Multiphase Porous-Medium Flow
- 1 February 1983
- journal article
- Published by Society of Petroleum Engineers (SPE) in Society of Petroleum Engineers Journal
- Vol. 23 (01) , 135-142
- https://doi.org/10.2118/10555-pa
Abstract
Hermite orthogonal collocation yields oscillatory and sometimes nonconvergent numerical solutions to convection-dominated oil reservoir flow problems. A new method of choosing collocation points emphasizes upstream values in the convective terms, yielding oscillation-free solutions to the linear convection-dispersion transport equation and convergent solutions to the Buckley-Leverett problem.Keywords
This publication has 9 references indexed in Scilit:
- Solution of Immiscible Displacement in Porous Media Using the Collocation Finite Element MethodPublished by Springer Nature ,1982
- Analysis of an upstream weighted collocation approximation to the transport equationJournal of Computational Physics, 1981
- A new collocation method for the solution of the convection‐dominated transport equationWater Resources Research, 1979
- Simplified Finite-Element Models for Reservoir Flow ProblemsSociety of Petroleum Engineers Journal, 1979
- Generalized Collocation Methods for Time-Dependent, Nonlinear Boundary-Value ProblemsSociety of Petroleum Engineers Journal, 1977
- Solution of steady-state, convective transport equation using an upwind finite element schemeApplied Mathematical Modelling, 1977
- Quadratic finite element schemes for two‐dimensional convective‐transport problemsInternational Journal for Numerical Methods in Engineering, 1977
- The Meaning of the Triple Value in Noncapillary Buckley-Leverett TheoryTransactions of the AIME, 1959
- Mechanism of Fluid Displacement in SandsTransactions of the AIME, 1942