TY - JOUR
T1 - Use of temporal moment analysis to study reactive solute transport in aggregated porous media
AU - J.Valocchi, Albert
N1 - Funding Information:
My earlier work on temporal moment analysis was funded by the National Science Foundation under Grant CEE-8204434 and by the Shell Faculty Career Initiation Fund. My more recent work has benefitted from helpful correspondence with Daniel Schweich of CNRS-ENSIC, Nancy, France. I would like to thank Rien van Genuchten and Mark Goltz for their careful reading of the paper.
PY - 1990/3
Y1 - 1990/3
N2 - The paper presents an overview of the use of temporal moment analysis as a useful alternative to more complete analytical or numerical solutions of mathematical models describing adsorbing solute transport in aggregated, saturated porous media. The goal of temporal moment analysis is to derive analytical formulas for the lower-order time moments of the solute breakthrough curve, thereby yielding significant physical insight into the behavior of solute transport models. Only the bi-continuum conceptual model and one-dimensional systems are emphasized in this paper. The transfer function approach for calculating temporal moments is described and illustrated with several examples involving diffusion into spherical aggregates, first-order mass transfer, and kinetically controlled intra-aggregate adsorption. The use of moment analysis for model comparison and sensitivity analysis is discussed; in particular, the paper shows how simplified empirical first-order mass transfer models can be utilized to approximate more complex models involving diffusion into nonuniformly sized spherical aggregates.
AB - The paper presents an overview of the use of temporal moment analysis as a useful alternative to more complete analytical or numerical solutions of mathematical models describing adsorbing solute transport in aggregated, saturated porous media. The goal of temporal moment analysis is to derive analytical formulas for the lower-order time moments of the solute breakthrough curve, thereby yielding significant physical insight into the behavior of solute transport models. Only the bi-continuum conceptual model and one-dimensional systems are emphasized in this paper. The transfer function approach for calculating temporal moments is described and illustrated with several examples involving diffusion into spherical aggregates, first-order mass transfer, and kinetically controlled intra-aggregate adsorption. The use of moment analysis for model comparison and sensitivity analysis is discussed; in particular, the paper shows how simplified empirical first-order mass transfer models can be utilized to approximate more complex models involving diffusion into nonuniformly sized spherical aggregates.
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U2 - 10.1016/0016-7061(90)90017-4
DO - 10.1016/0016-7061(90)90017-4
M3 - Article
AN - SCOPUS:0025256579
SN - 0016-7061
VL - 46
SP - 233
EP - 247
JO - Geoderma
JF - Geoderma
IS - 1-3
ER -