Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-16
Phys. Rev. E 81, 031104 (2010)
Physics
Condensed Matter
Statistical Mechanics
12 pages, 9 figures
Scientific paper
10.1103/PhysRevE.81.031104
We propose a unified physical framework for transport in variably saturated porous media. This approach allows fluid flow and solute migration to be treated as ensemble averages of fluid and solute particles, respectively. We consider the cases of homogeneous and heterogeneous porous materials. Within a fractal mobile-immobile (MIM) continuous time random walk framework, the heterogeneity will be characterized by algebraically decaying particle retention-times. We derive the corresponding (nonlinear) continuum limit partial differential equations and we compare their solutions to Monte Carlo simulation results. The proposed methodology is fairly general and can be used to track fluid and solutes particles trajectories, for a variety of initial and boundary conditions.
Cortis Andrea
Néel Marie-Christine
Zoia Andrea
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