Transient flow of nonNewtonian powerlaw fluids in porous media
Abstract
A nonlinear partial differential equation for flow of powerlaw fluids was derived. The diffusivity equation is a special case of this new equation. The partial differential equation describes the flow of a slightly compressible, nonNewtonian powerlaw fluid in a homogeneous and isotropic porous medium. This equation should govern the flow of most nonNewtonian oil displacement agents used in enhanced oil recovery projects, e.g., polymer solutions and micellar solutions. A linear form of the partial differential equation was also derived. A model for the flow of foam in porous media gave rise to another nonlinear partial differential equation which considers the compressibility of foam, and the pressuredependent quality of foam. The quality of foam is the ratio of gaseous volume to total foam volume. Analytical solutions of the transient and steadystate forms of the linear partial differential equation were obtained.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT.........4I
 Keywords:

 Fluid Injection;
 Nonnewtonian Fluids;
 Transient Pressures;
 Nonlinear Equations;
 Oil Recovery;
 Partial Differential Equations;
 Porosity;
 Fluid Mechanics and Heat Transfer