THEORY OF DYNAMIC PERMEABILITY AND TORTUOSITY IN FLUID-SATURATED POROUS-MEDIA
THEORY OF DYNAMIC PERMEABILITY AND TORTUOSITY IN FLUID-SATURATED POROUS-MEDIA
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DOI：
10.1017/s0022112087000727
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发表时间：
1987-03-01
影响因子：
3.7
通讯作者：
DASHEN, R
中科院分区：
文献类型：
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作者：
JOHNSON, DL;KOPLIK, J;DASHEN, R
我们考虑的响应的牛顿流体，饱和的刚性各向同性多孔介质的孔隙空间，受到一个无限小的振荡压力梯度在整个样品。我们推导出的线性响应函数的解析性质以及高，低频率的限制。在这样做时，我们提出了一个新的和明确定义的参数Λ，它进入高频极限，动态连接的孔径的特性。使用这些结果，我们构建了一个简单的模型的响应方面的准确的高，低频率参数，该模型是非常成功的直接数值模拟与随机变化的管半径的大格子相比。我们证明了这些结果的非刚性多孔介质的声学特性的相关性，我们展示了如何使用超流4 He作为孔隙流体的动态渗透率/弯曲度可以测量。我们得到的预期响应的情况下，孔隙空间的内壁是分形的字符。
We consider the response of a Newtonian fluid, saturating the pore space of a rigid isotropic porous medium, subjected to an infinitesimal oscillatory pressure gradient across the sample. We derive the analytic properties of the linear response function as well as the high- and low-frequency limits. In so doing we present a new and well-defined parameter Λ, which enters the high-frequency limit, characteristic of dynamically connected pore sizes. Using these results we construct a simple model for the response in terms of the exact high- and low-frequency parameters; the model is very successful when compared with direct numerical simulations on large lattices with randomly varying tube radii. We demonstrate the relevance of these results to the acoustic properties of non-rigid porous media, and we show how the dynamic permeability/tortuosity can be measured using superfluid 4He as the pore fluid. We derive the expected response in the case that the internal walls of the pore space are fractal in character.