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1、,Shandong Provincial Excellent Course, 2008,Section 2.6 Capillary Tube Model and its applications,Contents,Shandong Provincial Excellent Course, 2008,Derivation of Poiseuilles Equation Capillary-Tube Model Correlations between Porosity, Permeability and Specific Surface Area,Shandong Provincial Exce

2、llent Course, 2008,1 Derivation of Poiseuilles Equation,Shandong Provincial Excellent Course, 2008,A porous medium (多孔介质) is considered as a bundle of capillary tubes of the same length and radius, and the spaces between the tubes sealed by cementing materials. Flowing occurs only in the tubes.,2 Ca

3、pillary Tube Model,Shandong Provincial Excellent Course, 2008,Darcys Law,Poiseuilles Equation,N,Q,The flow of fluid in a sinlge tube:,2 Capillary Tube Model,Shandong Provincial Excellent Course, 2008,3 Correlations between Porosity, Permeability and Specific Surface Area,3.1 porosity permeability k,

4、Shandong Provincial Excellent Course, 2008,2 Correlations between Porosity, Permeability and Specific Surface Area,3.2porosity specific surface area S,Shandong Provincial Excellent Course, 2008,2 Correlations between Porosity, Permeability and Specific Surface Area,Kozenys equation (高才尼方程),For rocks with similar porosities, permeability will decrease as specific surface area increases.,Kozeny constant,Shandong Provincial Excellent Course, 2008,Applications of Kozenys equation,(cm2),K=5,Shandong Provincial Excellent Course, 2008,The specific surface area of a

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