Can Minkowski tensors of a simply connected porous microstructure characterize its permeability?

Nair P, Mühlbauer S, Roy S, Pöschel T (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Physics of Fluids American Institute of Physics (AIP)

Book Volume: 33

Journal Issue: 4

DOI: 10.1063/5.0045701

Abstract

We show that the permeability of periodic simply connected porous media can be reliably predicted from the Minkowski tensors (MTs) describing the pore microstructure geometry. To this end, we consider a large number of two-dimensional simulations of flow through periodic unit cells containing complex-shaped obstacles. The prediction is achieved by training a deep neural network using the simulation data with the MT elements as attributes. The obtained predictions allow for the conclusion that MTs of the pore microstructure contain sufficient information to characterize the permeability, although the functional relation between the MTs and the permeability could be complex to determine.

Authors with CRIS profile

Prapanch Nair Lehrstuhl für Multiscale Simulation of Particulate Systems Sebastian Mühlbauer Lehrstuhl für Multiscale Simulation of Particulate Systems Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

Indian Institute of Technology (IIT), Delhi IN India (IN)

How to cite

APA:

Nair, P., Mühlbauer, S., Roy, S., & Pöschel, T. (2021). Can Minkowski tensors of a simply connected porous microstructure characterize its permeability? Physics of Fluids, 33(4). https://dx.doi.org/10.1063/5.0045701

MLA:

Nair, Prapanch, et al. "Can Minkowski tensors of a simply connected porous microstructure characterize its permeability?" Physics of Fluids 33.4 (2021).

BibTeX: Download