Work

A simple derivation of the geometric theorems for averaging and Errata for the article Adv. Water Res., 32 (2013) 340-352

Year: 2025

Type: article

Abstract: The derivation of upscaled models using the volume averaging method involves the use of the spatial averaging theorem. From the use of this theorem, further geometrical identities arise when it is applied to a position vector or its dyadic products at the 𝑛th-order. The derivation of these geometrical identities is revised in this work in a concise manner that corrects some inconsistencies in the technical note by Wood (2013). These new derivations strengthen the use of the volume averaging method in many transport situations.

Source: Advances in Water Resources

DOI: 10.1016/j.advwatres.2025.105181

Authors: Francisco J. Valdés-Parada, Didier Lasseux, Brian D. Wood

Institutions: Universidad Autónoma Metropolitana, Centre National de la Recherche Scientifique, Université de Bordeaux, Arts et Métiers, Institut de Mécanique et d'Ingénierie de Bordeaux, Institut Polytechnique de Bordeaux, Oregon State University

Language: English

Topic: Groundwater flow and contamination studies

Subfield: Environmental Engineering

Field: Environmental Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,840

OpenAlex ID: W4416978203

FWCI:

Cites: 4

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