关键词: 渗流, 模式, 运动方程, 毛细管, 达西定律

Abstract: In study of different types of reservoirs tend to adopting various and independent oil/gas flow patterns, so it is difficult to get a uniform physical explanation. Based on the capillary model, this paper presents the uniform percolation rate expressions for ordinary reservoir, low permeability-heavy oil reservoir and low permeability gas reservoir existing slippage effect by simplification of N-S equation and a series of deductions. The study shows that these three typical flow patterns have similar physical model and basic mathematical equation, and the difference in specific expression is decided by different boundary conditions. Reynolds number is the key factor for deciding the flow patterns and demonstrates the uniformity of these three typical flow patterns. In addition, this paper derives the continuous function form of kinematic equation for low permeability-heavy oil reservoir, thus changing the piecewise expression of generalized Darcy's law, making up the defects that generalized Darcy's law can not describe intermediate flow period and magnifies the threshold pressure gradient. This study is of high theoretical value.

Key words: percolation, flow pattern, kinematic equation, capillary, Darcy's Law