Flekkøy E G, Pride S R
Department of Physics, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo 3, Norway.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt A):4130-7. doi: 10.1103/physreve.60.4130.
The symmetry properties of the permeability matrix in the macroscopic transport law for two-phase immiscible flow in porous media are investigated. The porous medium is treated as a single, closed thermodynamic system being forced by piston reservoirs. This construction is used to relate the Darcy fluxes to the time derivatives of the piston motion, and to identify the fluxes and forces in the Onsager sense. When the surface-tension forces that develop on the fluid interface are linear in the interface displacement, Onsager's theory is directly applicable and the permeability matrix must be symmetric. This argument is extended to show that reciprocity still holds when surfactants modify interface properties.
研究了多孔介质中两相不混溶流宏观输运定律中渗透率矩阵的对称性质。多孔介质被视为由活塞储液器驱动的单一封闭热力学系统。这种构造用于将达西通量与活塞运动的时间导数联系起来，并确定昂萨格意义下的通量和力。当在流体界面上产生的表面张力力在界面位移中呈线性时，昂萨格理论可直接应用，且渗透率矩阵必须是对称的。该论点被扩展以表明当表面活性剂改变界面性质时，互易性仍然成立。
