Ito equation model for dispersion of solutes in heterogeneous media

Suciu N, Vamo̧s C, Vereecken H, Sabelfeld K, Knabner P (2008)

Publication Type: Journal article

Publication year: 2008

Journal

Revue d'Analyse Numérique et de Théorie de l'Approximation Tiberiu Popoviciu Institute of Numerical Analysis

Publisher: Tiberiu Popoviciu Institute of Numerical Analysis

Book Volume: 37

Pages Range: 221-238

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_SuciuVamosVereeckenSabelfeldKn_ItoEquationModelForDisOfSolutesInHeteroMedia

Abstract

Transport processes in heterogeneous media such as ionized plasmas, natural porous media, and turbulent atmosphere are often modeled as diusion processes in random velocity elds. Using the Ito ̂ formalism, we decompose the second spatial moments of the concentration and the equivalent eective dispersion coecients in terms corresponding to various physical factors which in uence the transport. We explicitly dene \ergodic " dispersion coecients, independent of the initial conditions and completely determined by local disper-sion coecients and velocity correlations. Ergodic coecients govern an upscaled process which describes the transport at large tine-space scales. The non-ergodic behavior at nite times shown by numerical experiments for large initial plumes is explained by \memory terms " accounting for correlations between initial po-sitions and velocity uctuations on the trajectories of the solute molecules.

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

Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) - Leibniz-Institut im Forschungsverbund Berlin e. V. DE Germany (DE) Forschungszentrum Jülich / Research Centre Jülich (FZJ) DE Germany (DE)

How to cite

APA:

Suciu, N., Vamo̧s, C., Vereecken, H., Sabelfeld, K., & Knabner, P. (2008). Ito equation model for dispersion of solutes in heterogeneous media. Revue d'Analyse Numérique et de Théorie de l'Approximation, 37, 221-238.

MLA:

Suciu, Nicolae, et al. "Ito equation model for dispersion of solutes in heterogeneous media." Revue d'Analyse Numérique et de Théorie de l'Approximation 37 (2008): 221-238.

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