HAL CCSD
Lagrangian velocity correlation and effective transport models for highly heterogeneous permeability fields. In : Vienna, Austria, 13-18 april
Le Borgne, Tanguy
Dentz, Marco
Carrera, Jesus
de Dreuzy, Jean-Raynald
Davy, Philippe
Géosciences Rennes (GR) ; Université de Rennes (UR)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre Armoricain de Recherches en Environnement-Centre National de la Recherche Scientifique (CNRS)
International audience
Geophysical Research Abstracts
European Geosciences Union General Assembly 2008,
Vienne, Austria
insu-00377167
https://insu.hal.science/insu-00377167
https://insu.hal.science/insu-00377167
European Geosciences Union General Assembly 2008,, Apr 2008, Vienne, Austria. pp.EGU2008-A-05375
en
[SDU.STU.HY]Sciences of the Universe [physics]/Earth Sciences/Hydrology
info:eu-repo/semantics/conferenceObject
Conference papers
We investigated the relationship between the velocity distribution and organization and the relevant effective solute transport models for highly heterogeneous lognormal permeability fields. We first characterized numerically the distribution of Lagrangian velocity correlation times and lengths. This allows quantifying potential long range temporal or spatial velocity correlations.We then investigated how to define an equivalent random walk model that reproduces these correlation properties.We showed that the velocity transitions along the particle paths can be represented by a Markov Chain model defined by a constant spatial increment and a probability transition matrix. We thus defined a random walk model that respects the Lagrangian velocity field correlation properties. The resulting model is basically a CTRW model that is upscaled from the velocity statistics. Such an approach appears to be promising for defining effective solute transport models for highly heterogeneous permeability fields.
2008-04-13