Mathematical modeling of a non-Newtonian fluid flow in the main fracture inside permeable porous media

[摘要] This paper describes a mathematical model of the main fracture isolation in porous media by water-based mature gels. While modeling injection, water infiltration from the gel pack through fracture walls is taking into account, due to which the polymer concentration changes and the residual water resistance factor changes as a consequence. The salutation predicts velocity and pressure fields of the non-Newtonian incompressible fluid filtration for conditions of a non-deformable formation as well as a gel front trajectory in the fracture. The mathematical model of agent injection into the main fracture is based on the fundamental laws of continuum mechanics conservation describing the flow of non-Newtonian and Newtonian fluids separated by an interface plane in a flat channel with permeable walls. The mathematical model is based on a one-dimensional isothermal approximation, with dynamic parameters pressure and velocity, averaged over the fracture section.

[发布机构] Ufa State Aviation Technical University, Ufa, Russia^1

[效力级别] 数学

[关键词] Dynamic parameters;Incompressible fluid;Isothermal approximation;Non-Newtonian fluid flow;Non-Newtonian fluids;Polymer concentrations;SIMPLE algorithm;Water infiltration