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Keywords:

  • two-phase flow;
  • porous media;
  • transient flow;
  • quasi-static flow;
  • capillary pressure;
  • saturation;
  • dynamic effect

Abstract

Well defined experiments and numerical analyses are conducted to determine the importance of dynamic effect in capillary pressure relationships for two-phase flow in porous media. Dynamic and quasi-static capillary pressure-saturation (Pc-Sw) and, ∂Sw/∂t-t curves are determined. These are then used to determine the dynamic effects, indicated by a dynamic coefficient (τ) in the porous domains which establishes the speed at which flow equilibrium (∂Sw/∂t = 0) is reached. τ is found to be a nonlinear function of saturation which also depends on the medium permeability. Locally determined τ seems to increase as the distance of the measurement point from the fluid inlet into the domain increases. However, the functional dependence τ-Sw follows similar trends at different locations within the domain. We argue that saturation weighted average of local τ-Sw curves can be defined as an effective τ-Sw curve for the whole domain which follows an exponential trend too. © 2012 The Authors. AIChE Journal, published by Wiley on behalf of the AIChE. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. AIChE J, 58: 3891–3903, 2012