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
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.
Authors with CRIS profile
Nicolae Suciu
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Peter Knabner
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Involved external institutions
Germany (DE)How to cite
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://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.
BibTeX: Download