Müller Tobias M, Sahay Pratap N
CSIRO Earth Science and Resource Engineering, Perth, WA 6151, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Aug;84(2 Pt 2):026329. doi: 10.1103/PhysRevE.84.026329. Epub 2011 Aug 29.
A theory for the dynamic permeability in deformable porous media is developed. The analysis is based on the momentum flux transfer from the slow compressional into the slow shear wave (a proxy for the viscous wave in a Newtonian fluid) in the presence of random pore-scale heterogeneities. A first-order statistical smoothing approximation is used to infer a dynamic permeability in the form of an integral over the covariance function modulated by the slow shear wave. In a smooth pore-throat limit the results reproduce the model proposed by Johnson et al. [J. Fluid Mech. 176, 379 (1987)].
建立了一种关于可变形多孔介质中动态渗透率的理论。该分析基于在存在随机孔隙尺度非均匀性的情况下，动量通量从慢压缩波向慢剪切波（牛顿流体中粘性波的替代）的传递。采用一阶统计平滑近似来推导以慢剪切波调制的协方差函数积分形式表示的动态渗透率。在光滑孔喉极限情况下，结果重现了约翰逊等人提出的模型[《流体力学杂志》176, 379 (1987)]。
