Analysis of Multiphase Non-Darcy Flow in Porous Media

作者：Wu Yu Shu^*; Lai Bitao; Miskimins Jennifer L; Fakcharoenphol Perapon; Di Yuan

来源：Transport in Porous Media, 2011, 88(2): 205-223.

DOI：10.1007/s11242-011-9735-8

• Darcy flow
• Non-Darcy flow
• Barree and Conway model
• Buckley-Leverett solution
• Reservoir simulation

Recent laboratory studies and analyses (Lai et al. Presented at the 2009 Rocky Mountain Petroleum Technology Conference, 14-16 April, Denver, CO, 2009) have shown that the Barree and Conway model is able to describe the entire range of relationships between flow rate and potential gradient from low- to high-flow rates through porous media. A Buckley and Leverett type analytical solution is derived for non-Darcy displacement of immiscible fluids in porous media, in which non-Darcy flow is described using the Barree and Conway model. The comparison between Forchheimer and Barree and Conway non-Darcy models is discussed. We also present a general mathematical and numerical model for incorporating the Barree and Conway model in a general reservoir simulator to simulate multiphase non-Darcy flow in porous media. As an application example, we use the analytical solution to verify the numerical solution for and to obtain some insight into one-dimensional non-Darcy displacement of two immiscible fluids with the Barree and Conway model. The results show how non-Darcy displacement is controlled not only by relative permeability, but also by non-Darcy coefficients, characteristic length, and injection rates. Overall, this study provides an analysis approach for modeling multiphase non-Darcy flow in reservoirs according to the Barree and Conway model.

• 出版日期2011-6
• 单位北京大学