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A fractal approach to low velocity non-Darcy flow in low permeability porous media |
| jianchao Cai |
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Abstract In this paper, the mechanisms for fluid flow at low velocity in porous media are analyzed based on plastic flow of oil in reservoirs and the fractal approach. The analytical expressions for flow rate and velocity of non-Newtonian fluid flow in low permeability porous media are derived, and the threshold pressure gradient (TPG) for fluid flow in low permeability porous media is obtained. Notable is that the TPG (J) and permeability (K) of porous media analytically exhibit the scaling behavior J~K^(-DT/(DT+1)). where DT is the fractal dimension for tortuous capillaries. The fractal character of tortuosity for capillaries should be considered in analysis of non-Darcy flow in low permeability porous media. The model predictions of TPG show good agreement with those by the available expression and experimental data. The proposed model may lead us to get a better understanding of the mechanisms for non-linear flow in low permeability porous media.
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Received: 13 June 2013
Published: 31 October 2013
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| Fund: International Cooperation of Guizhou Province;CQCSTC; the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University |
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Corresponding Authors:
jianchao Cai
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Cite this article:
jianchao Cai A fractal approach to low velocity non-Darcy flow in low permeability porous media Chin. Phys. B 0
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