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Comparison of nonlocal Eulerian to Lagrangian moments for transport in an anisotropic heterogeneous aquifer with deterministic linear nonequilibrium sorption
Author(s) -
Hu Bill X.,
Cushman John H.
Publication year - 1997
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/96wr03516
Subject(s) - eulerian path , non equilibrium thermodynamics , anisotropy , dispersion (optics) , physics , mechanics , mathematics , statistical physics , lagrangian , classical mechanics , mathematical analysis , thermodynamics , quantum mechanics
An Eulerian perturbation scheme is applied to study transport of a reactive chemical experiencing linear nonequilibrium sorption with deterministic rate constants in a heterogeneous porous medium. Exact solutions for the mean concentrations are used to obtain mean values of spatial moments through the third moments. Comparisons are made with results obtained for the identical problem in a Lagrangian frame [ Dagan and Cvetkovic , 1993]. If local‐scale dispersion is neglected in the Eulerian analysis and the fully nonlocal flux is retained, then the Eulerian and Lagrangian moments agree. However, if either the Eulerian model is localized or the local‐scale dispersion is retained, then the moments disagree. This disagreement is especially acute in the asymptotic limits. If local‐scale dispersion is included in the first‐order Lagrangian analysis, then one anticipates agreement through the third moments between the two approaches.