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Modeling Microbial Decomposition in Real 3D Soil Structures Using Partial Differential Equations
1International Joint Unity (UMI 209) UMMISCO, IRD, Bondy Cedex, France 2INRA, UMR, Environnent and Bigcrops, Thiverval Grignon, France 3School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam
Laboratory of Numericalanalysis and Computer Science (LANI), Ummisco UMI 209, IRD, Saint Louis Unit, University Gaston Berger of Saint Louis, Saint-Louis, Senegal
1International Joint Unity (UMI 209) UMMISCO, IRD, Bondy Cedex, France 2UMMISCO-Cameroon, International Joint Unity UMMISCO, University of Yaounde 1, Cameroon, IRD (Institut de Recherche pour le Developpement), University of Paris
School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam
CNRS, UMR 7618-Biochemistery and Continenatal Areas Ecology, Thiverval-Grignon, France
- 1 1International Joint Unity (UMI 209) UMMISCO, IRD, Bondy Cedex, France 2INRA, UMR, Environnent and Bigcrops, Thiverval Grignon, France 3School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam
- 2 Laboratory of Numericalanalysis and Computer Science (LANI), Ummisco UMI 209, IRD, Saint Louis Unit, University Gaston Berger of Saint Louis, Saint-Louis, Senegal
- 3 1International Joint Unity (UMI 209) UMMISCO, IRD, Bondy Cedex, France 2UMMISCO-Cameroon, International Joint Unity UMMISCO, University of Yaounde 1, Cameroon, IRD (Institut de Recherche pour le Developpement), University of Paris
- 4 School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam
- 5 CNRS, UMR 7618-Biochemistery and Continenatal Areas Ecology, Thiverval-Grignon, France
International Journal of Geosciences·Volume 04 (2013)·Pages 15–26·Published 30 December 2013·DOI10.4236/ijg.2013.410A003
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Abstract
Partial Differential Equations (PDEs) have been already widely used to simulate various complex phenomena in porous media. This paper is one of the first attempts to apply PDEs for simulating in real 3D structures. We apply this scheme to the specific case study of the microbial decomposition of organic matter in soil pore space. We got a 3D geometrical representation of the pore space relating to a network of volume primitives. A mesh of the pore space is then created by using the network. PDEs system is solved by free finite elements solver Freefem3d in the particular mesh. We validate our PDEs model to experimental data with 3D Computed Tomography (CT) images of soil samples. Regarding the current state of art on soil organic matter decay models, our approach allows tak ing into account precise 3D spatialization of the decomposition process by a pore space geometry description.
KeywordsPartial Differential EquationsSoilMicrobial DecompositionPore Space3D Geometry ModellingComputed Tomography
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