Direct relations between morphology and transport in Boolean models

C. Scholz; F. Wirner; M.A. Klatt; D. Hirneise; G.E. Schröder-Turk; K. Mecke; C. Bechinger

doi:10.1103/PhysRevE.92.043023

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Direct relations between morphology and transport in Boolean models

Journal article

Open access

Peer reviewed

Direct relations between morphology and transport in Boolean models

C. Scholz, F. Wirner, M.A. Klatt, D. Hirneise, G.E. Schröder-Turk, K. Mecke and C. Bechinger

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol.92(4)

2015

DOI: https://doi.org/10.1103/PhysRevE.92.043023

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Abstract

We study the relation of permeability and morphology for porous structures composed of randomly placed overlapping circular or elliptical grains, so-called Boolean models. Microfluidic experiments and lattice Boltzmann simulations allow us to evaluate a power-law relation between the Euler characteristic of the conducting phase and its permeability. Moreover, this relation is so far only directly applicable to structures composed of overlapping grains where the grain density is known a priori. We develop a generalization to arbitrary structures modeled by Boolean models and characterized by Minkowski functionals. This generalization works well for the permeability of the void phase in systems with overlapping grains, but systematic deviations are found if the grain phase is transporting the fluid. In the latter case our analysis reveals a significant dependence on the spatial discretization of the porous structure, in particular the occurrence of single isolated pixels. To link the results to percolation theory we performed Monte Carlo simulations of the Euler characteristic of the open cluster, which reveals different regimes of applicability for our permeability-morphology relations close to and far away from the percolation threshold.

Details

Title: Direct relations between morphology and transport in Boolean models
Authors/Creators: C. Scholz (Author/Creator) - University of Stuttgart
F. Wirner (Author/Creator) - University of Stuttgart
M.A. Klatt (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
D. Hirneise (Author/Creator) - University of Stuttgart
G.E. Schröder-Turk (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
K. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
C. Bechinger (Author/Creator) - University of Stuttgart
Publication Details: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol.92(4)
Publisher: American Physical Society
Identifiers: 991005543635807891
Copyright: © 2015 American Physical Society
Murdoch Affiliation: School of Engineering and Information Technology
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 8 Earth Sciences; 8.140 Water Resources; 8.140.718 Enhanced Oil Recovery
Web Of Science research areas: Physics, Fluids & Plasmas; Physics, Mathematical
ESI research areas: Physics