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arXiv · 2003.02928

Can Minkowski tensors of a porous microstructure characterize its permeability?

Prapanch Nair·Sebastian Mühlbauer·Shantanu Roy·Thorsten Poeschel
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Abstract

We show that the permeability of 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 simulations of flow through periodic unit cells containing complex shaped obstacles. The prediction is achieved by training a deep neural network (DNN) 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 determine the permeability, although the functional relation between the MTs and the permeability could be complex to determine.

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Prapanch Nair, Sebastian Mühlbauer, Shantanu Roy, Thorsten Poeschel. 2020-03-05. Can Minkowski tensors of a porous microstructure characterize its permeability?. https://doi.org/10.1063/5.0045701

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