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Percolation theory approach to transport phenomena in porous media
Authors:M Yanuka
Institution:(1) Department of Physical Chemistry and The Fritz Haber Research Centre for Molecular Dynamics, The Hebrew University of Jerusalem, 91904, Israel
Abstract:The percolation theory approach to static and dynamic properties of the single- and two-phase fluid flow in porous media is described. Using percolation cluster scaling laws, one can obtain functional relations between the saturation fraction of a given phase and the capillary pressure, the relative permeability, and the dispersion coefficient, in drainage and imbibition processes. In addition, the scale dependency of the transport coefficient is shown to be an outcome of the fractal nature of pore space and of the random flow pattern of the fluids or contaminant.
Keywords:Percolation processes  pore space topology and geometry  capillary displacement  phase entrapment  relative permeability  dispersion coefficient  hydrodynamic dispersion  transport coefficients —  scaling laws of  anomalous diffusion  random flow in network model  contaminant spreading  drainage  imbibition  fractal dimension
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