Lagrangian velocity correlation and effective transport models for highly heterogeneous permeability fields. In : Vienna, Austria, 13-18 april - Archive ouverte HAL Access content directly
Conference Papers Year : 2008

Lagrangian velocity correlation and effective transport models for highly heterogeneous permeability fields. In : Vienna, Austria, 13-18 april

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Tanguy Le Borgne
Marco Dentz
Jesus Carrera
  • Function : Author
Jean-Raynald de Dreuzy
Philippe Davy

Abstract

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.
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Dates and versions

insu-00377167 , version 1 (21-04-2009)

Identifiers

  • HAL Id : insu-00377167 , version 1

Cite

Tanguy Le Borgne, Marco Dentz, Jesus Carrera, Jean-Raynald de Dreuzy, Philippe Davy. Lagrangian velocity correlation and effective transport models for highly heterogeneous permeability fields. In : Vienna, Austria, 13-18 april. European Geosciences Union General Assembly 2008,, Apr 2008, Vienne, Austria. pp.EGU2008-A-05375. ⟨insu-00377167⟩
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