文档介绍：J. Non-Newtonian Fluid Mech. 102 (2002) 447–473
Models for flow of non-Newtonian plex
fluids through porous media
. Pearson∗, . Tardy
Schlumberger Cambridge Research, Cambridge CB3 0EL, UK
Abstract
This article first provides a brief and simple account of continuum models for transport in porous media, and of
the role of length scales in passing from pore-scale phenomena to “Darcy” continuum scale representations using
averaged variables. It then examines the influence of non-Newtonian rheology on the single- and multi-phase trans-
port parameters, . Darcy viscosity, dispersion lengths and relative permeabilities. The aim is to deduce functional
forms and values for these parameters given the rheological properties of the fluid or fluids in question, and the
porosity, permeability, dispersion lengths and relative permeabilities (based on Newtonian fluids and equivalent
capillary pressures) of the porous medium. It is concluded that micro-models, posed of -
works, applied at a sub-Darcy-scale, parameterised using data for flows of a well-characterised set of non-Newtonian
fluids, are likely to provide the most reliable means. © 2002 Elsevier Science . All rights reserved.
Keywords: Darcy viscosity; Newtonian fluids; Transport parameter
1. Scope and preface
This article does not seek to prove a new result or to justify a new technique. Nor is it intended as a
comprehensive review. It is restricted to presenting in simple form selected parts of the most important
approaches that have been used to predict flow behaviour in porous media, giving special attention to the
effects of non-Newtonian rheology. All of the seminal work reported here has been done by others and
reference is made in the short bibliography below to a few of the textbooks and papers that are well-known
and have been found helpful in this work. The indulgence is craved of any other authors whose papers or
texts have not been referenced, particularly if they feel that