Nonlinear Percolation Law in Low Permeability Fissure Cave Reservoir with Fractal Dimension

doi:10.19596/j.cnki.1001-246x.7589

Abstract

Abstract: Fractal approach is introduced. Mathematical model of fractal triple medium fissure cave reservoir with low velocity non-Darcy effect is established. By means of Laplace transform and Stehfest numerical algorithm, bottom hole pressure solution is obtained. Seepage characteristics analysis and nonlinear parameter sensitivity analysis are conducted. Finally, combined with actual well data fractal model is verified. It shows that seepage process of fractal triple medium fissure cave reservoir can be divided into 6 seepage stages. They are presence of wellbore storage, transition flow, channeling of caves to fractures, pseudo radial flow, channeling of matrix to fractures and caves, total radial flow, respectively. Furthermore, effect of velocity non-Darcy effect on percolation law is gradually increasing with time. The higher starting pressure gradient, the higher pressure dynamic curves in total radial flow stage bend upward. Fractal coefficient affects whole percolation process. With increase of fractal coefficient, fracture tortuosity and flow resistance increase and whole pressure dynamic curves move up.

Key words: fissure cave reservoir, fractal, triple medium, non-Darcy, starting pressure gradient

CLC Number:

TE344

LIU Huapu, LIU Huiqing, WANG Jing. Nonlinear Percolation Law in Low Permeability Fissure Cave Reservoir with Fractal Dimension[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(1): 55-63.

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