Constitutive equations for ionic transport in porous shales
Constitutive equations for ionic transport in porous shales
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DOI：
10.1029/2003jb002755
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发表时间：
2004-03-27
影响因子：
3.9
通讯作者：
Leroy, P
中科院分区：
文献类型：
--
作者：
Revil, A;Leroy, P
[1]描述多孔页岩中离子输运的本构耦合方程是在代表性的基本体积尺度上通过体积平均局部的Nernst-Planck和Stokes方程得到的。最后的关系检验了状态变量相对于恒温状态的一阶扰动的Onsager互易性。这种状态的特征是Donnan平衡模型的修改版本，该模型解释了Stern层和弥漫的gay - chapman层之间的对偶分配。将局部方程放大后，进入宏观本构方程的材料性质与页岩孔隙度、阳离子交换容量以及一些结构性质如电胶结指数等进入阿奇定律有明确的关系。然后将该新模型应用于预测页岩层的盐过滤和电扩散效率。
[1] The constitutive coupled equations describing ionic transport in a porous shale are obtained at the scale of a representative elementary volume by volume averaging the local Nernst-Planck and Stokes equations. The final relationships check the Onsager reciprocity to the first order of perturbation of the state variables with respect to the thermostatic state. This state is characterized by a modified version of the Donnan equilibrium model, which accounts for the partition of the counterions between the Stern and diffuse Gouy-Chapman layers. After upscaling the local equations the material properties entering the macroscopic constitutive equations are explicitly related to the porosity of the shale, its cation exchange capacity, and some textural properties such as the electrical cementation exponent entering Archie's law. This new model is then applied to predict the salt filtering and electrodiffusion efficiencies of a shale layer.