期刊
WATER RESOURCES RESEARCH
卷 53, 期 10, 页码 8187-8210出版社
AMER GEOPHYSICAL UNION
DOI: 10.1002/2017WR021257
关键词
-
资金
- Department of Petroleum Engineering in the College of Engineering and Applied Science at the University of Wyoming
- NSERC/AIEES(AERI)/Foundation CMG Chair in the Department of Chemical and Petroleum Engineering at the University of Calgary
- NSERC/AIEES(AERI)/Foundation AITF (iCORE) Chair in the Department of Chemical and Petroleum Engineering at the University of Calgary
Fluid flow in porous media is very important in a wide range of science and engineering applications. The entire establishment of fluid flow application in porous media is based on the use of an experimental law proposed by Darcy (1856). There are evidences in the literature that the flow of a fluid in consolidated and unconsolidated porous media does not follow Darcy law at very low fluxes, which is called pre-Darcy flow. In this paper, the unsteady flow regimes of a slightly compressible fluid under the linear and radial pre-Darcy flow conditions are modeled and the corresponding highly nonlinear diffusivity equations are solved analytically by aid of a generalized Boltzmann transformation technique. The influence of pre-Darcy flow on the pressure diffusion for homogeneous porous media is studied in terms of the nonlinear exponent and the threshold pressure gradient. In addition, the pressure gradient, flux, and cumulative production per unit area are compared with the classical solution of the diffusivity equation based on Darcy flow. The presented results advance our understanding of fluid flow in low-permeability media such as shale and tight formations, where pre-Darcy is the dominant flow regime.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据