Can Minkowski tensors of a simply connected porous microstructure characterize its permeability?
| Autor: | Sebastian Mühlbauer, Shantanu Roy, Prapanch Nair, Thorsten Pöschel |
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| Rok vydání: | 2021 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Porous microstructure Artificial neural network Mechanical Engineering Mathematical analysis Computational Mechanics Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Functional relation Permeability (earth sciences) Flow (mathematics) Mechanics of Materials 0103 physical sciences Minkowski space Simply connected space 010306 general physics Porous medium |
| Zdroj: | Physics of Fluids. 33:042010 |
| ISSN: | 1089-7666 1070-6631 |
| DOI: | 10.1063/5.0045701 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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