Chemicals and Allied Products

Hung, Yung‐Tse; Cora, Mario G.; Lo, Howard H.; Wang, Lawrence K.

doi:10.2175/106143004x142130

Cited by 1 publication

(1 citation statement)

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“…An important subclass of nonlinear phenomena in porous media is constituted by displacement flows, in which a fluid with complex rheology is injected in a natural or artificial porous domain and displaces another non-Newtonian fluid. In-situ remediation of contaminated sites entails injection of colloidal or biopolymer suspensions [6] to assist removal of liquid pollutants, which may be, in turn, non-Newtonian [7]. Industrial engineering applications of non-Newtonian displacement include filtration of polymer melts, food processing, and fermentation [3].…”

Section: Introductionmentioning

confidence: 99%

Analytical modeling of spherical displacement for power-law fluids in porous media

Ciriello

Federico²

2013

ams

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We analyze the pressure transient due to the point injection of a non-Newtonian power-law fluid within an infinite homogeneous porous domain initially saturated with another non-Newtonian power-law fluid. Taking into account fluid and domain compressibility yields a displacement front propagating with finite velocity in spherical or semi-spherical geometry; considering two shear-thinning fluids with the same flow behavior index n allows derivation of a self-similar solution in closed form describing the propagation of the displacement front and demonstrating the existence of a compression front ahead of the interface between fluids. The positions of the displacement and compression fronts, and the pressure distributions in the two fluids, are derived in closed form for any value of n < 1/2. Sensitivity analysis of model responses indicates a strong direct dependence on mobility and compressibility ratios and on permeability; an inverse moderate dependence on porosity and a mixed, weaker dependence on flow behavior index.

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Section: Introductionmentioning

confidence: 99%