COMPARISON OF EULERIAN TO LAGRANGIAN EXPECTED SPATIAL MOMENTS FOR TRANSPORT IN A HETEROGENEOUS POROUS MEDIUM WITH DETERMINISTIC LINEAR NONEQUILIBRIUM SORPTION
作者:
J. H. CUSHMAN,
B. X. HU,
FEI-WEN DENG,
期刊:
Chemical Engineering Communications
(Taylor Available online 1996)
卷期:
Volume 148-150,
issue 1
页码: 5-21
ISSN:0098-6445
年代: 1996
DOI:10.1080/00986449608936505
出版商: Taylor & Francis Group
关键词: Porous medium;Transport;Nonequilibrium sorption
数据来源: Taylor
摘要:
When a natural porous formation is viewed from an Eulerian perspective, incomplete characterization of the hydraulic conductivity leads to nonlocality in the constitutive theory, irrespective of whether the medium has evolving heterogeneity with velocity fluctuations over all scales. Within this framework two nonlocal constitutive models are developed for natural systems, one for conservative tracers and the other for reactive chemicals undergoing linear nonequilibrium sorption with deterministic rate constants. Exact solutions for the mean concentrations are obtained and used to determine the mean values of the spatial moments up to the third. A Lagrangian model (Dagan and Cvetkovic, 1993) for a similar problem is reviewed and comparisons are made between the expected Lagrangian and Eulerian moments. If the local-scale dispersive process is neglected in the Eulerian analysis, then the Lagrangian moments obtain. However, if the local-scale dispersive process is included in the Eulerian model, then the second transverse moment disagrees with that obtained through the Lagrangian analysis. It is shown that this disagreement is especially acute in the asymptotic limits.
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