Unbiased identification of nonlinear sorption characteristics by soil column breakthrough experiments |
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Authors: | Email author" target="_blank">P?KnabnerEmail author B?A?Igler K?U?Totsche P?DuChateau |
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Institution: | 1.Lehrstuhl für Angewandte Mathematik I,Universit?t Erlangen–Nürnberg,Erlangen,Germany;2.Lehrstuhl für Bodenkunde,Technische Universit?t München,Freising-Weihenstephan,Germany;3.Department of Mathematics,Colorado State University,Fort Collins,USA |
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Abstract: | Accurate identification of interactions of reactive solutes with porous media constituents is necessary for reliable risk
assessment studies and the development of efficient sanitation strategies. Standard parameter estimation procedures bear a
number of unsolved problems with respect to uniqueness and identifiability. This paper presents a new approach for the identification
of nonlinear interaction parameters of column outflow experiments. The procedure requires no a priori assumptions on the shape
of the underlying interaction process functions. Employing experimental data sets on cadmium and anthracene breakthrough as
case studies, possible applications of the new approach will be shown, and its features will be discussed. Error analysis
based on singular value decomposition of the sensitivity matrix quantifies the identification error. Identification procedures
without a priori shape information are superior to fixed parametrizations in diagnostic investigations, especially in cases
without reliable a priori knowledge on the sorptive interactions. |
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Keywords: | identification inverse problems breakthrough experiment sorption output least squares minimization adaptation |
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