A New Front-Tracking Method for Reservoir Simulation
Authors:
- 1 February 1992
- journal article
- Published by Society of Petroleum Engineers (SPE) in SPE Reservoir Engineering
- Vol. 7 (01) , 107-116
Abstract
Summary: This paper presents a new numerical method for solving saturation equations without stability problems and without smearing saturation fronts. A reservoir simulator based on this numerical method is under development. A set of test problems is used to compare the simulation results of the new simulator with those of an existing finite-difference simulator (FDS).Keywords
This publication has 15 references indexed in Scilit:
- On the Strict Hyperbolicity of the Buckley–Leverett Equations for Three-Phase Flow in a Porous MediumSIAM Journal on Applied Mathematics, 1990
- A class of N nonlinear hyperbolic conservation lawsJournal of Differential Equations, 1990
- The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer FloodingSIAM Journal on Mathematical Analysis, 1988
- A numerical method for first order nonlinear scalar conservation laws in one-dimensionComputers & Mathematics with Applications, 1988
- Error Bounds for the Methods of Glimm, Godunov and LeVequeSIAM Journal on Numerical Analysis, 1985
- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristicsComputer Methods in Applied Mechanics and Engineering, 1984
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference ProceduresSIAM Journal on Numerical Analysis, 1982
- A Nine-Point, Finite-Difference Reservoir Simulator for Realistic Prediction of Adverse Mobility Ratio DisplacementsSociety of Petroleum Engineers Journal, 1979
- Polygonal approximations of solutions of the initial value problem for a conservation lawJournal of Mathematical Analysis and Applications, 1972
- Hyperbolic systems of conservation laws IICommunications on Pure and Applied Mathematics, 1957