A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers

Schüler L, Suciu N, Knabner P, Attinger S (2016)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2016

Journal

Publisher: Elsevier

Book Volume: 96

Pages Range: 55-67

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_SchuelerSuciuKnAttinger_ATimeDependMixModelToClosePDFequatForTranspInHeterogAquifers

DOI: 10.1016/j.advwatres.2016.06.012

Abstract

Probability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They make it possible to derive the evolution equations of the mean concentration and the concentration variance, used in moment methods. The mixing model, describing the transport of the PDF in concentration space, is essential for both methods. Finding a satisfactory mixing model is still an open question and due to the rather elaborate PDF methods, a difficult undertaking. Both the PDF equation and the concentration variance equation depend on the same mixing model. This connection is used to find and test an improved mixing model for the much easier to handle concentration variance. Subsequently, this mixing model is transferred to the PDF equation and tested. The newly proposed mixing model yields significantly improved results for both variance modelling and PDF modelling.

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APA:

Schüler, L., Suciu, N., Knabner, P., & Attinger, S. (2016). A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers. Advances in Water Resources, 96, 55-67. https://dx.doi.org/10.1016/j.advwatres.2016.06.012

MLA:

Schüler, Lennart, et al. "A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers." Advances in Water Resources 96 (2016): 55-67.

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