A Numerical Model of Two-Dimensional, Two-Component, Single Phase Miscible Displacement in a Porous Medium
Thom Potempa · SIAM Journal on Scientific and Statistical Computing · 1985
A new numerical procedure for modeling single phase miscible diplacement in a porous medium is presented. This model is based upon a material balance that is similar to that which is used to derive the differential equations that govern single phase miscible displacement. Since the procedure is defined in terms of a material balance, the data structures arising in a computational implementation are compatible with those that are present in finite difference models of miscible displacement. This procedure obeys a maximum principle due to the upstream weighting of the convective transport terms. This new procedure does not exhibit the grid orientation effect present in the five-point finite difference models of this process.