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Calculation Method of Power Law Fluid Equivalent Permeability Considering Capillary Shape

Calculation Method of Power Law Fluid Equivalent Permeability Considering Capillary Shape
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摘要 While studying the flow of oil and gas in the reservoir, it is not realistic that capillary with circular section is only used to express the pores. It is more representative to simulate porous media pore with kinds of capillary with triangle or rectangle section etc. In the condition of the same diameter, when polymer for oil displacement flows in the porous medium, there only exists shear flow which can be expressed with power law model. Based on fluid flow-pressure drop equation in single capillary, this paper gives a calculation method of equivalent permeability of power law fluid of single capillary and capillary bundles with different sections. While studying the flow of oil and gas in the reservoir, it is not realistic that capillary with circular section is only used to express the pores. It is more representative to simulate porous media pore with kinds of capillary with triangle or rectangle section etc. In the condition of the same diameter, when polymer for oil displacement flows in the porous medium, there only exists shear flow which can be expressed with power law model. Based on fluid flow-pressure drop equation in single capillary, this paper gives a calculation method of equivalent permeability of power law fluid of single capillary and capillary bundles with different sections.
出处 《Chinese Quarterly Journal of Mathematics》 2015年第3期420-428,共9页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China Youth Science Fund (51104030) Supported by the Science and Technology Research Project of Heilongjiang Province Department of Education(12521059) Supported by the China Postdoctoral Science Foundation(2014M561325)
关键词 POROUS media power LAW fluid section area EQUIVALENT PERMEABILITY CAPILLARY BUNDLES porous media power law fluid section area equivalent permeability capillary bundles
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