Publication Details

Reference Category Journals
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Title (Primary) A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
Author Schüler, L.; Suciu, N.; Knabner, P.; Attinger, S.;
Journal Advances in Water Resources
Year 2016
Department CHS;
Volume 96
Language englisch;
POF III (all) T53;
Keywords PDF method; Variance; Solute transport; Heterogeneity; Mixing; Global random walk
UFZ wide themes RU5;
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.
ID 17671
Persistent UFZ Identifier http://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=17671
Schüler, L., Suciu, N., Knabner, P., Attinger, S. (2016):
A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
Adv. Water Resour. 96 , 55 - 67