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

top
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

top

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

top
  1. Bause, M., Knabner, P., 10.1007/s00791-004-0139-y, Comput. Vis. Sci. 7 (2004), 61-78. (2004) Zbl1120.76321MR2088783DOI10.1007/s00791-004-0139-y
  2. Borsi, I., Farina, A., Fasano, A., Primicerio, M., 10.1142/9789812709394_0018, Applied and industrial mathematics in Italy Ser. Adv. Math. Appl. Sci., Vol. 75 World Sci. Publ. Hackensack (2007), 196-207. (2007) MR2367572DOI10.1142/9789812709394_0018
  3. Friedman, A., Partial Differential Equations of Parabolic Type, Prentice-Hall Engelwood Cliffs (1964). (1964) Zbl0144.34903MR0181836
  4. Ladyzhenskaya, O. A., Solonnikov, V. A., Ural'tseva, N. N., Linear and Quasi-linear Equations of Parabolic Type. Translation of Mathematical Monographs, Vol. 23, American Mathematical Society (AMS) Providence (1968). (1968) 
  5. Maggi, F., Porporato, A., 10.1029/2006WR005367, Water Resour. Res. 43 (2007). (2007) DOI10.1029/2006WR005367
  6. Merz, W., Global existence result of the Monod model, Adv. Math. Sci. Appl. 15 (2005), 709-726. (2005) MR2198584
  7. Miller, E. E., Miller, R. D., 10.1063/1.1722370, J. Appl. Phys. 27 (1956), 324-332. (1956) DOI10.1063/1.1722370
  8. Rockhold, M. L., Yarwood, R. R., Niemet, M. R., Bottomley, P. J., Selker, J. S., 10.1016/S0309-1708(02)00023-4, Adv. Wat. Res. 25 (2002), 477-495. (2002) DOI10.1016/S0309-1708(02)00023-4
  9. Rockhold, M. L., Yarwood, R. R., Niemet, M. R., Bottomley, P. J., Selker, J. S., 10.2136/vzj2004.0087, Vadose Zone J. 4 (2005), 407-417. (2005) DOI10.2136/vzj2004.0087

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.