Affiliation:
1. Institut für Mechanik Universität Duisburg-Essen Universitätsstraße 15 45141 Essen Germany
Abstract
AbstractIn this contribution we present an approach to generate a data driven surrogate model for the prediction of permeabilities and flow through two dimensional random micro‐heterogeneous materials. The laminar flow is well described by Darcy's law. In order to achieve an efficient computational tool for the generation of the database (up to 103 realizations), needed for the training of the neural networks, we apply a stochastic model based on the Brownian motion. The stationary state of the resulting stochastic model solves the Darcy equation and can be iteratively solved by a Monte Carlo approach applied to a particle simulation. Improved numerical efficiency can be yield by usage of the related transition matrix.
Subject
Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics
Reference14 articles.
1. K. M. Tolle D. S. W. Tansley and A. J. G. Hey Proceedings of the IEEE 99(8) 1334–1337 (2011).
2. O. Ronneberger P. Fischer and T. Brox U-Net: Convolutional networks for biomedical image segmentation in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015 edited by N. Navab J. Hornegger W. M. Wells and A. F. Frangi (Springer International Publishing 2015) pp. 234–241.
3. A. Agrawal and A. Choudhary MRS Communications 9(3) 779–792 (2019).
4. H. Darcy Les fontaines publiques de la ville de Dijon: Exposition et application des principes à suivre et des formules à employer dans les questions de distribution d'eau: Ouvrage terminé par un appendice relatif aux fournitures d'eau de plusieurs villes au filtrage des eaux et à la fabrication des tuyaux de fonte de plomb de tôle et de bitume (V. Dalmont Libraire des Corps imperiaux des ponts et chaussees et des mines 1856).
5. S. Nemat-Nasser M. Lori and S. K. Datta Micromechanics: Overall Properties of Heterogeneous Materials North-Holland Series in Applied Mathematics and Mechanics1993).
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