| Title:
|
Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties (English) |
| Author:
|
Borsi, Iacopo |
| Author:
|
Farina, Angiolo |
| Author:
|
Fasano, Antonio |
| Author:
|
Primicerio, Mario |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
409-432 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
flows in porous media |
| Keyword:
|
continuous dependence on parameters |
| MSC:
|
35B30 |
| MSC:
|
35K57 |
| MSC:
|
76S05 |
| idZBL:
|
Zbl 1199.35021 |
| idMR:
|
MR2469585 |
| DOI:
|
10.1007/s10492-008-0034-9 |
| . |
| Date available:
|
2010-07-20T12:31:20Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140332 |
| . |
| Reference:
|
[1] Bause, M., Knabner, P.: Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping.Comput. Vis. Sci. 7 (2004), 61-78. Zbl 1120.76321, MR 2088783, 10.1007/s00791-004-0139-y |
| Reference:
|
[2] Borsi, I., Farina, A., Fasano, A., Primicerio, M.: Biomass growth in unsaturated porous media: hydraulic properties changes.Applied and industrial mathematics in Italy Ser. Adv. Math. Appl. Sci., Vol. 75 World Sci. Publ. Hackensack (2007), 196-207. MR 2367572, 10.1142/9789812709394_0018 |
| Reference:
|
[3] Friedman, A.: Partial Differential Equations of Parabolic Type.Prentice-Hall Engelwood Cliffs (1964). Zbl 0144.34903, MR 0181836 |
| Reference:
|
[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). |
| Reference:
|
[5] Maggi, F., Porporato, A.: Coupled moisture and microbial dynamics in unsaturated soils.Water Resour. Res. 43 (2007). 10.1029/2006WR005367 |
| Reference:
|
[6] Merz, W.: Global existence result of the Monod model.Adv. Math. Sci. Appl. 15 (2005), 709-726. MR 2198584 |
| Reference:
|
[7] Miller, E. E., Miller, R. D.: Physical theory for capillary flow phenomena.J. Appl. Phys. 27 (1956), 324-332. 10.1063/1.1722370 |
| Reference:
|
[8] Rockhold, M. L., Yarwood, R. R., Niemet, M. R., Bottomley, P. J., Selker, J. S.: Considerations for modeling bacterial-induced changes in hydraulic properties of variably saturated porous media.Adv. Wat. Res. 25 (2002), 477-495. 10.1016/S0309-1708(02)00023-4 |
| Reference:
|
[9] Rockhold, M. L., Yarwood, R. R., Niemet, M. R., Bottomley, P. J., Selker, J. S.: Experimental observations and numerical modeling of coupled microbial and transport processes in variably saturated sand.Vadose Zone J. 4 (2005), 407-417. 10.2136/vzj2004.0087 |
| . |
