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Nonlinear feature of flow resistance gradient in ultra-low permeability reservoir
LIU Hui1,FENG Ming-sheng1,HE Shun-li2,YANG Shuang1,YANG Ming-hui3
(1.Research Institute of Petroleum Exploration & Development, PetroCkina, Beijing 100083, China ;2. MOE Key Laboratory of Petroleum Engineering in China University of Petroleum, Beijing 102249, China ;3. Basin & Reservoir Research Center in China University of Petroleum, Beijing 102249, China)
Abstract:
According to the boundary layer theory, the experimental curves of ultr-low permeability cores were analyzed by applying cubic function. Considering the influence of the boundary layer and starting pressure gradient,a mathematical model of flow resistance gradient of ultra-low permeability reservoir was established by differential and linear description method. And the relationship charts between flow resistance gradient and driving pressure gradient, permeability were obtained. The results show that the flow resistance gradient decreases with the driving pressure gradient increasing. The flow resistance gradient increases with the permeability decreasing, and the increasing amplitude of flow resistance gradient enhances and its nonlinear feature is more obvious with the permeability decreasing.
Key words:  ultra-low permeability reservoir  flow resistance gradient  nonlinear feature  boundary layer  starting pressure gradient