Non‐Darcy displacement of immiscible fluids in porous media

Abstract

This paper presents a Buckley‐Leverett analytical solution for non‐Darcy displacement of two immiscible fluids in porous media. The multiphase non‐Darcy displacement is described using a Forchheimer equation or other non‐Darcy flow correlations under multiphase flow conditions. The analytical solution is used to obtain some insight into the physics of displacement involving non‐Darcy flow effects in porous media. The solution reveals how non‐Darcy displacement is controlled not only by relative permeability curves but also by non‐Darcy flow coefficients as well as injection or flow rates. This analytical solution is then applied to verify a numerical simulator for modeling multiphase non‐Darcy flow.