Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Brownian Motion, Transport and Anomalous Diffusion

DY 26.2: Talk

Tuesday, March 17, 2020, 10:15–10:30, HÜL 186

Transport and Constrictivity in Porous Media — •Johannes Hauskrecht and Rudolf Hilfer — Institute for Computational Physics, University of Stuttgart, Germany

Geometric quantities such as porosity and physical quantities such as permeability determine transport in porous media. The constrictivity, on the other hand, which is intended to describe the influence of cross-sectional variations of the pore space on transport, is a less-used quantity. It is therefore an interesting question whether transport in porous media can be characterized additionally with the help of this quantity.

Existing definitions of constrictivity from the literature and their relation to the macroscopic transport coefficients have been investigated. In general, they can be divided into physical and geometrical definitions. The physical definitions directly relate the constrictivity to the transport coefficients, the geometrical definitions, on the other hand, calculate the constrictivity directly from the pore structure. However, most of the geometrical definitions are only defined for simplified models of the pore space and are ill defined for general pore spaces. In addition, it is shown for homogeneous and isotropic media that the existing geometrical definitions of constrictivity can be expressed as a variation of porosity.