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Abstract

A fractal model for Herschel-Bulkley fluid in a capillary is proposed based on the fractal theory. The proposed model relates flow rate, velocity, starting pressure gradient and effective permeability to the rheological characteristics of fluid and the structural parameters of capillary, and all parameters in the proposed expressions have clear physical meanings. The analytical expressions reveal the physical principle for Herschel-Bulkley fluid flow in a capillary.

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Funds:Project supported by the Foundation of State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, China (Grant No. PRP/open-1206), the Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, China (Grant No. PLN1113), the Foundation of Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, the National Natural Science Foundation of China (Grant No. 41102080), and the Open Fund of Research Center of Green Manufacturing and Energy-Saving and Emission Reduction Technology in Wuhan University of Science and Technology, China (Grant No. B1219).

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Vol. 61, Issue 16 - 2012-08-20

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