The Identification of a Time Dependent Sorption Parameter from Soil Column Experiments

Soil column studies are used frequently in seeking to understand the behavior of a particular contaminant in a saturated homogeneous soil of a given type. The concentration of the contaminant is modeled by a parabolic partial differential equation. We seek to identify the sorption partitioning coeff...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 2006-01, Vol.66 (4), p.1407-1423
Main Authors: Fister, K. Renee, Maeve L. Mc Carthy, Oppenheimer, Seth F.
Format: Article
Language:English
Subjects:
A priori knowledge
Applied mathematics
Coefficients
Equilibrium
Experiments
Identifiability
Inverse problems
Partial differential equations
Porosity
Soil pollution
Soil science
Sorption
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Summary:Soil column studies are used frequently in seeking to understand the behavior of a particular contaminant in a saturated homogeneous soil of a given type. The concentration of the contaminant is modeled by a parabolic partial differential equation. We seek to identify the sorption partitioning coefficient as a function of time from limited boundary data. We discuss an output least squares formulation of the problem with Tikhonov regularization. We explicitly characterize a source condition that determines the rate of convergence of the method. Numerical examples are presented.
ISSN:0036-1399
1095-712X
DOI:10.1137/050626302