Global random walk simulations for sensitivity and uncertainty analysis of passive transport models

Abstract

The Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at costs comparable to those of a single-trajectory simulation by the traditional Particle Tracking (PT) approach.

Statistical ensembles of GRW simulations of a typical advection-dispersion process in groundwater systems with randomly distributed spatial parameters are used to obtain reliable estimations of the input parameters for the upscaled transport model and of their correlations, input-output correlations, as well as full probability distributions of the input and output parameters.

Authors

Nicolae Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Călin Vamoş
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Harry Vereecken
Agrosphere Institute IBG-3, Research Center Jülich, Germany

Peter Knabner
Chair for Applied Mathematics I, Friedrich-Alexander University Erlangen-Nuremberg, Germany

Keywords

Probabilistic particle methods; transport processes; Monte Carlo methods; froundwater contamination

Cite this paper as:

N. Suciu, C. Vamoş, H. Vereecken, P. Knabner (2011), Global random walk simulations for sensitivity and uncertainty analysis of passive transport models, Annals of the Academy of Romanian Scientists, Series on Mathematics and its Applications, 3(1), 218-234.

References

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PDF

https://www.mathematics-and-its-applications.com/preview/july2011/data/13_suciu_n.pdf

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Annals of the Academy of Romanian Scientists

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