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Technical Notes on Volume Averaging in Porous Media I: How to Choose a Spatial Averaging Operator for Periodic and Quasiperiodic Structures

Davit, Yohan and Quintard, Michel Technical Notes on Volume Averaging in Porous Media I: How to Choose a Spatial Averaging Operator for Periodic and Quasiperiodic Structures. (2017) Transport in Porous Media, 119 (3). 555-584. ISSN 0169-3913

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Official URL: http://dx.doi.org/10.1007/s11242-017-0899-8

Abstract

This paper is a first of a series aiming at revisiting technical aspects of the volume averaging theory. Here, we discuss the choice of the spatial averaging operator for periodic and quasiperiodic structures. We show that spatial averaging must be defined in terms of a convolution and analyze the properties of a variety of kernels, with a particular focus on the smoothness of average fields, the ability to attenuate geometrical fluctuations, Taylor series expansions, averaging of periodic fields and resilience to perturbations of periodicity. We conclude with a set of recommendations regarding kernels to use in the volume averaging theory.

Item Type:Article
Additional Information:Thanks to Springer editor. The definitive version is available at https://link.springer.com/ The original PDF of the article can be found at https://link.springer.com/article/10.1007%2Fs11242-017-0899-8
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Yohan DAVIT
Deposited On:27 Sep 2017 09:24

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