Geodesic
Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties
Applications of Mathematics, Tome 53 (2008) no. 5, pp. 409-432.

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We study the unsaturated flow of an incompressible liquid carrying a bacterial population through a porous medium contaminated with some pollutant. The biomass grows feeding on the pollutant and affecting at the same time all the physics of the flow. We formulate a mathematical model in a one-dimensional setting and we prove an existence theorem for it. The so-called fluid media scaling approach, often used in the literature, is discussed and its limitations are pointed out on the basis of a specific example.
DOI : 10.1007/s10492-008-0034-9
Classification : 35B30, 35K57, 76S05
Keywords: flows in porous media; continuous dependence on parameters 
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     title = {Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties},
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Borsi, Iacopo; Farina, Angiolo; Fasano, Antonio; Primicerio, Mario. Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties. Applications of Mathematics, Tome 53 (2008) no. 5, pp. 409-432. doi : 10.1007/s10492-008-0034-9. http://geodesic.mathdoc.fr/articles/10.1007/s10492-008-0034-9/

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