Numerical Modelization of the Pollutant’s Insertion in a Soil of South Morocco
Nowadays, one of the most studied issues is pollution; because of the repercussion on human health, many researchers have focused their searches on understanding such phenomena. In order to do so, searchers have needed to understand the penetration of the pollutants in the soil depending of the nature of this last one. In this work, the focus is on the flow of pollutants in a porous, unsaturated and fractured soil. The flow of fluids in such media is characterized by the Richards equation. In order to have a solvable problem, some basic equations are needed in order to establish the relationship between fluid pressure and relative permeability. Then, the pollutant transport equation, and the equation of thermal transfer will be added to the obtained system. Because of the strong non-linearity of the equations, the discrete method has been adopted to discretize this system of equations. For the resolution, the ADI (Alternating Direction Implicit) method is used. Then, a solver has been developed to solve such equations. The figures drawn in this paper have helped understanding the criticality of three main parameters: temperature, velocity and concentration. The following conclusion has been reached: the temperature decreases over time, which is explained by the amortization of the heat transfer from the soil surface over time. The velocity decreases in an exponential way. This decrease is justified by the action of friction of the fluid with the media. The concentration of the pollutants increases over time, which is explained by the accumulation of products of dissolution of pollutants. The originality of this work is the development of a numerical solution to solve the flow of the pollutants for such media. Then, it has been applied on a specific region of South Morocco.
Copyright © 2020 Praise Worthy Prize - All rights reserved.
Hillel, D. (1988), Water and soil Principles and physical processes. Catholic University of Louvain. Rural Engineering Unit. Pedasup Collection 5.
Richards, L.A. (1931), Capillary conduction of liquids in porousmedia. Physics 1: 318-333.
Musy, A. et Soutter, M. (1991). Soil physics Polytechnic and University Press Romandes, Lausanne.
K. Gueraoui, A. Hammoumi, G. Zeggwagh,(1996), Pulsed flows of inelastic fluids in porous and anisotropic deformable pipes, C.R. Acad. Sci., Paris, 323, series B, pp 825-832.
Arya, L.M. et Paris, J.F., (1981). A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data. Soil Science Society of America Journal, 45: 1023-1030.
Brooks, R.H. et Corey, A.T., (1964). Hydraulic properties of porous media, Hydrology Paper 3, Colorado State Univ., Fort Collins, CO.
Jury, W.A. etFlühler, H. (1992). Transport of chemicals through soil: mechanisms, models, and field application. Advances in agronomy, 47: 141-201.
Farthing, M.W., C.E. Kees, E.W. Jenkins, and C.T. Miller. (2006). An Evaluation of Linearly Implicit Time Discretization Methods For Approximating Richards’ Equation.
C. Chávez-Negrete, F.J. Domínguez-Mota and D. Santana-Quinteros, Numerical solution of Richards’ equation of water flow by generalized finite differences, Computers and Geotechnics, 101, (168-175), (2018).
GelarehFarahi, Saeed Reza Khodashenas, Amin Alizadeh and Ali NaghiZiaei, New Model for Simulating Hydraulic Performance of an Infiltration Trench with Finite-Volume One-Dimensional Richards’ Equation, Journal of Irrigation and Drainage Engineering 143, 8, (04017025), (2017).
Ghouli, A., Gueraoui, K., Walid, M., Aberdane, I., El Hammoumi, A., Kerroum, M., Zeggwagh, G., Haddad, Y., Numerical Study of Evolution Process of Pollutant Propagation in a Homogeneous Porous Medium unsaturated (2009) International Review of Mechanical Engineering (IREME), 3 (3), pp 358-362.
H. Beji, (1989), Numerical study of natural convection in porous media.
Childs, E. C., and George, N. C. (1948). Soil geometry and soilwater equilibria. Discussions of the Faraday Society, vol. 3.
Brooks, R.H. et Corey, A.T. (1964), Hydraulic properties of
porous media. Hydrology Paper 3, Colorado State Univ., Fort
Collins, CO. pp. 78-85.
Bear, J. and A. Verruijt (1987), Modeling groundwater flow and pollution. Reidel, Dordrecht, Netherlands.
M. Alani, (1985), Dynamic phenomena in saturated porous media. Incidence of solid-liquid coupling in harmonic flow.
Austin, L. R. (1971). The Development of Viscous Flow within Helical Coils, Ph.D. Thesis, University of Utah, Salt Lake City
Marc Soutter, André Musy, Coupling 1D Monte-Carlo simulations and geostatistics to assess groundwater vulnerability to pesticide contamination on a regional scale, Journal of Contaminant Hydrology, Volume 32, Issues 1–2, 1998, Pages 25-39.
Abbasi, F., Simunek, J., Feyen, J., van Genuchten, M.T. etShouse, P.J., (2003). Simultaneous inverse estimation of soil hydraulic and solute transport parameters from transient field experiments: Homogeneous soil. Transactions of the Asae, 46(4): p 1085-1095.
Driouich, M., Gueraoui, K., Haddad, Y., El Hammoumi, A., Kerroum, M., Fehri, O. F. Mathematical modeling of non permanent flows of molten polymer, (2010) International Review of Mechanical Engineering (IREME), 4(1), pp 689-694.
S. Men-la-yakhaf, K. Gueraoui, M. Driouich,(2014), Numerical and Mathematical Modeling of Reactive Mass Transfer and Heat Storage Installations of Argan Waste, Advanced Studies in Theoretical Physics, Vol. 8, no. 10, pp 485-498.
Men-la-yakhaf, S., Gueraoui, K., Maaouni, A., Driouich, M., Numerical and Mathematical Modeling of Reactive Mass Transfer and Heat Storage Installations of Argan Waste, (2014) International Review of Mechanical Engineering (IREME), 8 (1), pp. 236-240.
Mahboub, M., Gueraoui, K., Taibi, M., Aberdane, I., Kifani-Sahban, F., Men-La-Yakhaf, S., El Marouani, M., Thermal Treatment of Morocco Sugarcane Bagasse Under Inert Atmosphere, (2018) International Review of Mechanical Engineering (IREME), 12 (10), pp. 860-868.
H. El tourroug, K. Gueraoui, N. Hassanain, I. Modhaffar S. Men-la-yakhaf, (2016), Numerical modeling of the effect of the crystallization kinetics in a rigid rectangular bioreactor, Materials Today Proceedings Volume 3(Issue 9):2883-2890, March.
I. Modhaffar, K. Gueraoui , S. Men-la-yakhaf, H. El Tourroug, (2017).Simulation of Short Fiber Orientation in Thermoplastic Matrix, J. Mater. Environ. Sci. (JMES) 8 (1) 44-49.
Mahboub, M., Gueraoui, K., Men-la-yakhaf, S., Taibi, M., Driouich, M., Mohcine, A., Aberdane, I., Mathematical and Numerical Modeling for Energy Valorization of Sugarcane, (2018) International Review of Civil Engineering (IRECE), 9 (5), pp. 194-201.
Mohcine, A., Gueraoui, K., Men-la-yakhaf, S., Mathematical and Numerical Modeling of the Valorization of Household Waste in Morocco Based on the Model of Brooks, (2017) International Review of Civil Engineering (IRECE), 8 (1), pp. 19-24.
A. Bounouar, K. Gueraoui, M. Taibi, A. Lahlou, M. Driouich, M. Sammouda, S. Men-La-Yakhaf, M. Belcadi.(2016).Numerical and Mathematical Modeling of Unsteady Heat Transfer within a Spherical Cavity: Applications Laser in Medicine. Contemporary Engineering Sciences, Vol. 9, no. 24, 1183-1199.
Hariti, Y., Hader, A., Amallah, L., Achik, I., Boughaleb, Y., Langevin Dynamics Study of the Mean Flow Rate-Energy Stochastic Fluid Intrusion Process in Porous Media, (2019) International Review on Modelling and Simulations (IREMOS), 12 (6), pp. 398-406.
Belgada, R., Gueraoui, K., Mzerd, A., Taibi, M., Ouhimmou, S., Benbih, H., Mathematical and Numerical Modeling of Energy Recovery of Sunflower Waste, (2019) International Journal on Engineering Applications (IREA), 7 (5), pp. 160-168.
- There are currently no refbacks.
Please send any question about this web site to firstname.lastname@example.org
Copyright © 2005-2020 Praise Worthy Prize