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Title (Primary) Solute transport in aquifers with evolving scale heterogeneity
Author Suciu, N.; Attinger, S.; Radu, F.A.; Vamoş, C.; Vanderborght, J.; Vereecken, H.; Knabner, P.;
Journal Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica
Year 2015
Department CHS;
Volume 23
Issue 3
Language englisch;
POF III (all) T31;
Keywords porous media; Random fields; transport; random walk
UFZ wide themes RU5;
Abstract Transport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we show that anomalous superdiffusive behavior may result if velocity fields are modeled as superpositions of random space functions with correlation structures consisting of linear combinations of short-range correlations. In particular, this corresponds to the superposition of independent random velocity fields with increasing integral scales proposed as model for evolving scale heterogeneity of natural porous media [Gelhar, L. W. Water Resour. Res. 22 (1986), 135S-145S]. Monte Carlo simulations of transport in such multi-scale fields support the theoretical results and demonstrate the approach to superdiffusive behavior as the number of superposed scales increases.
ID 16930
Persistent UFZ Identifier http://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=16930
Suciu, N., Attinger, S., Radu, F.A., Vamoş, C., Vanderborght, J., Vereecken, H., Knabner, P. (2015):
Solute transport in aquifers with evolving scale heterogeneity
Analele Stiint. Univ. Ovidius C. Mat. 23 (3), 167 - 186