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A general memory function for modeling mass transfer in groundwater transport
KTH, School of Architecture and the Built Environment (ABE), Land and Water Resources Engineering, Water Resources Engineering.
2012 (English)In: Water resources research, ISSN 0043-1397, E-ISSN 1944-7973, Vol. 48, W04528- p.Article in journal (Refereed) Published
Abstract [en]

A power-law extension of the gamma distribution is proposed as a general memory function for capturing rate limitations of retention in groundwater transport. Using moments, we show how the new memory function can be reduced to most other forms available in the literature, exactly or approximately. The proposed formulation is suitable for field scale or laboratory scale transport modeling. Rate limitation effects are illustrated for solute transport by considering the fractional mass release over a given transport scale. The equilibrium and no-retention cases set bounds for contaminant attenuation, between which the impact of rate limitations is clearly exposed.

Place, publisher, year, edition, pages
2012. Vol. 48, W04528- p.
Keyword [en]
Heterogeneous Porous Formations, Multiple-Trapping Model, Solute Transport, Contaminant Transport, Time Dispersion, Diffusion, Media, Aquifers, Formulations, Behavior
National Category
Environmental Sciences
Identifiers
URN: urn:nbn:se:kth:diva-95249DOI: 10.1029/2011WR011657ISI: 000303315000006Scopus ID: 2-s2.0-84861413622OAI: oai:DiVA.org:kth-95249DiVA: diva2:527471
Note
QC 20120521Available from: 2012-05-21 Created: 2012-05-21 Last updated: 2017-12-07Bibliographically approved

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