Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties

Iacopo Borsi; Angiolo Farina; Antonio Fasano; Mario Primicerio

Applications of Mathematics (2008)

  • Volume: 53, Issue: 5, page 409-432
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Borsi, Iacopo, et al. "Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties." Applications of Mathematics 53.5 (2008): 409-432. <http://eudml.org/doc/37793>.

@article{Borsi2008,
abstract = {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.},
author = {Borsi, Iacopo, Farina, Angiolo, Fasano, Antonio, Primicerio, Mario},
journal = {Applications of Mathematics},
keywords = {flows in porous media; continuous dependence on parameters; flows in porous media; continuous dependence on parameters},
language = {eng},
number = {5},
pages = {409-432},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties},
url = {http://eudml.org/doc/37793},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Borsi, Iacopo
AU - Farina, Angiolo
AU - Fasano, Antonio
AU - Primicerio, Mario
TI - Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 5
SP - 409
EP - 432
AB - 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.
LA - eng
KW - flows in porous media; continuous dependence on parameters; flows in porous media; continuous dependence on parameters
UR - http://eudml.org/doc/37793
ER -

References

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