About the Symmetry of the Upscaled Equivalent Transmissivity Tensor |
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Authors: | Mauro Giudici and Chiara Vassena |
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Affiliation: | (1) Dipartimento di Scienze della Terra “A. Desio”, Sezione di Geofisica, Università degli Studi di Milano, via Cicognara 7, 20129 Milano, Italy |
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Abstract: | This paper provides a proof of the symmetry of the equivalent transmissivity tensor computed with a method based on the solution of the balance equation at the fine scale with integrated finite differences. The basic hypotheses are that the balance equation is solved on a block assigning Dirichlet boundary conditions that vary linearly with the space coordinates and the equivalent transmissivity tensor is computed as the linear tensor relating average flux and hydraulic gradient. |
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Keywords: | Upscaling Equivalent transmissivity Ground water Integrated finite differences |
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