# Analysis of soil structural and transfer properties using pore scale images and numerical modelling

Abstract : In this thesis it was studied the structure of the porous media, particularly on a sandy soils and a virtual pack of spheres; based on bibliographic references here were generated our own tools to compute the porosity, specific surface and pore size distribution. We built an algorithm to solve advection diffusion equation directly on the porous media structure (using a 3D image result of the $mu$ CT scan of the porous media). We used the splitting operator to compute the advective part with a Finite Volume (FV) method, implementing a Total Variation Diminishing (TVD) scheme. The diffusion part was computed using with a FV method with the assistance of the MUMPS software to solve the resulting linear system. From the concentration field obtained with the algorithm and following a volume averaging method, we computed the macroscopic properties of: dispersivity and dispersion coefficient at Pe=223,23,2.3,0.23 for a sample of Fontainbleau NE34 sand. We observing that these results depend on the quality of the 3D image, structural and transport properties were studied using 3D images at different resolutions. The images at different resolutions were called rescaled images, and they were generated numerically and taken directly from the micro CT scan. As a first result we proposed a criterion based on the pore size distribution to assess if a 3D image resolution is suitable or not for permeability computation of a granular material with a finite volume (FV) method. As a second result we showed how the solute transport macro properties are less affected by a deterioration of the resolution than the flow property of permeability (both cases computed through a FV method). And as a third result we showed that a numerical rescaled image preserve the behavior of the macroscopic properties more than a real rescaled image
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https://tel.archives-ouvertes.fr/tel-02336602
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Submitted on : Tuesday, October 29, 2019 - 8:24:10 AM
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• HAL Id : tel-02336602, version 1

### Citation

Miriam Patricia Ortega Ramirez. Analysis of soil structural and transfer properties using pore scale images and numerical modelling. Geophysics [physics.geo-ph]. Université Grenoble Alpes, 2019. English. ⟨NNT : 2019GREAU017⟩. ⟨tel-02336602⟩

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