Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1016/j.advwatres.2016.06.012
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.
Source Titel Advances in Water Resources
Year 2016
Department CHS
Volume 96
Page From 55
Page To 67
Language englisch
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.
Persistent UFZ Identifier https://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 10.1016/j.advwatres.2016.06.012