Solute transport in aquifers with evolving scale heterogeneity

Suciu N, Attinger S, Radu AF, Vamo̧s C, Vanderborght J, Vereecken H, Knabner P (2011)

Publication Type: Journal article

Publication year: 2011

Journal

The Preprint-Series of the Institute of Applied Mathematics

Book Volume: 346

Pages Range: 1-18

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_SuciuAttingerRaduVamosVanderborghtVereeckenKn_SolTranspInAquifWthEvolvScaleHeterogen

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.

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

Forschungszentrum Jülich / Research Centre Jülich (FZJ) DE Germany (DE) University of Bergen / Universitetet i Bergen NO Norway (NO) Friedrich-Schiller-Universität Jena DE Germany (DE)

How to cite

APA:

Suciu, N., Attinger, S., Radu, A.F., Vamo̧s, C., Vanderborght, J., Vereecken, H., & Knabner, P. (2011). Solute transport in aquifers with evolving scale heterogeneity. The Preprint-Series of the Institute of Applied Mathematics, 346, 1-18.

MLA:

Suciu, Nicolae, et al. "Solute transport in aquifers with evolving scale heterogeneity." The Preprint-Series of the Institute of Applied Mathematics 346 (2011): 1-18.

BibTeX: Download