Mathematical methodology for evaluating simulation of flow in porous media
Abstract
A methodology for evaluation of reservoir simulators was developed. Tests of resolution of numerical computational difficulties and of compatibility of correlations used in representation of fluid properties and phase flow interference were studied. A similarity concept which allows testing of simulators to be based on solution of a system of ordinary differential equations, referred to as a Similarity Porous Media System (SPMS), rather than on the usual system of partial differential equations, referred to as a Porous Media System (PMS) is used. The SPMS can be solved with the same computational effort as would be required for a single time step in the usual application of the PMS itself. The SPMS consists of study of possible level curves, also called similarity curves, on which all the unknowns in the PMS are constant. The SPMS can be used, on a family of parabolas, for a simulator restricted to porous media problems with circular symmetry. Simulation of an actual reservoir problem imposes field conditions on a simulator's solution of the PMS, but use of the similarity concept in evaluation of a simulator involves imposition of selected samples from a solution of the SPMS as conditions on a solution of the PMS by the simulator. The solution of the PMS is checked against a solution predicted by the solution of the SPMS.
 Publication:

Final Report
 Pub Date:
 January 1984
 Bibcode:
 1984ttu..rept.....F
 Keywords:

 Differential Equations;
 Fluid Flow;
 Porous Materials;
 Crude Oil;
 Evaluation;
 Mathematical Models;
 Simulators;
 Fluid Mechanics and Heat Transfer