A stochastic model for 3-dimensional flow patterns in infiltration experiments

Schlather, Martin ; Huwe, Bernd

Document Type: Article
Year of publication: 2005
The title of a journal, publication series: Journal of Hydrology
Volume: 310
Issue number: 1/4
Page range: 17-27
Place of publication: Amsterdam [u.a.]
Publishing house: Elsevier
ISSN: 0022-1694
Publication language: English
Institution: School of Business Informatics and Mathematics > Applied Stochastics (Schlather 2012-)
Subject: 310 Statistics
500 Science
Keywords (English): Dye tracer, Mathematical models, Monte-Carlo analysis, Soil, Statistical distribution, Unsaturated zone
Abstract: Modelling the 3-dimensional water flux at field scale is important for the design and the analysis of dye tracer experiments. Furthermore, it enables the estimation of the risk to groundwater by pollutants, and the visualisation and classification of flux patterns. A stochastic model is presented that allows for the modelling of a wide range of flow patterns in soils as they appear in dye tracer experiments. The leading idea is that infiltrating water runs along paths, not necessarily preferential ones, and water spreads into the soil uniformly from the paths into the matrix. The model is essentially based on a Poisson point process and three independent random fields. The point process defines the starting points of the paths at the surface. The values of two random fields determine the course of the paths. The third random field governs the depth of the infiltration front. As an extension of the model, we present two simulated examples for stratified soils.

Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.

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