Solute transport in aquifers with evolving scale heterogeneity

Suciu N, Attinger S, Radu AF, Vamo̧s C, Vanderborght J, Vereecken H, Knabner P (2015)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Book Volume: 23

Pages Range: 167-186

Journal Issue: 3

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_SuciuAttingerRaduVamocsVanderborghtVereeckenKn_SoluteTransportinAquifersWithEvolvingScaleHetereo

DOI: 10.1515/auom-2015-0054

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 superdif-fusive 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.

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How to cite

APA:

Suciu, N., Attinger, S., Radu, A.F., Vamo̧s, C., Vanderborght, J., Vereecken, H., & Knabner, P. (2015). Solute transport in aquifers with evolving scale heterogeneity. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 23(3), 167-186. https://dx.doi.org/10.1515/auom-2015-0054

MLA:

Suciu, Nicolae, et al. "Solute transport in aquifers with evolving scale heterogeneity." Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica 23.3 (2015): 167-186.

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