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Validity of the permeability Carman-Kozeny equation: A volume averaging approach

机译:渗透率Carman-Kozeny方程的有效性:体积平均法

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A volume averaging approach is used to estimate the porous media permeability. Contrary to traditional methods that rely on solving the Navier-Stokes equations for laminar flow, this approach has the advantage that it does not require the specification of some physical conditions and parameters (pressure drop and viscosity). Numerical results on synthetic models of porous media showed that (i) the local porous medium configuration has an important effect on the permeability value, and (ii) the Carman-Kozeny equation cannot describe the permeability behavior as a function of porosity and characteristic lengths. In turn, our results indicate that simple empirical equations, commonly used in practice, are unable to describe the permeability functionalities over a broad range of porous media configurations.
机译:体积平均法用于估计多孔介质的渗透率。与依赖于求解层流的Navier-Stokes方程的传统方法相反,此方法的优点是不需要指定某些物理条件和参数(压降和粘度)。多孔介质合成模型的数值结果表明:(i)局部多孔介质构型对渗透率值有重要影响;(ii)Carman-Kozeny方程不能将渗透率行为描述为孔隙度和特征长度的函数。反过来,我们的结果表明,通常在实践中使用的简单经验方程式无法描述各种多孔介质构造中的渗透率函数。

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