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Non - linear concentration waves of pollutants in fluid - saturated porous rocks: constitutive equations approach and some examples of numerical solutions in the phase plane

1 Department of Chemistry and Chemical Technologies, University of Calabria, Arcavacata di Rende (CS), Italy
2 Department of Informatics, Electronics and System Engineering, University of Calabria, Arcavacata di Rende (CS), Italy
3 Foundation of Physics Research Centre (FoPRC), Celico (CS), Italy

World Journal of Engineering

ISSN: 1708-5284

Article publication date: 23 February 2015

Abstract

The dynamics of fluid - saturated porous rock is a particularly interesting problem in geophysics and hydrology, nevertheless it is very important in environmental protection as well since it is able to describe, in a lot of situations, the propagation of pollutant substances dissolved in porous environmental matrices. It has been show that, for these systems, the nonlinear effects can be very important to consider. In this paper we'll discuss two novel approaches to the study of the above dynamics: one based on constitutive and conservation equations, the other considering the mass - balance equations for the solute flow and for adsorption rate of solute on the poroelastic matrix. We have shown the first model correctly describes the nonlinear behavior of the fluid pore pressure and pollutants concentration while the second gives the nonlinear term describing advection of which some numerical solutions has been calculated.

Keywords

Citation

Caligiuri, L., Lamonaca, F., Nastro, A. and Giordano, D. (2015), "Non - linear concentration waves of pollutants in fluid - saturated porous rocks: constitutive equations approach and some examples of numerical solutions in the phase plane", World Journal of Engineering, Vol. 11 No. 6, pp. 557-564. https://doi.org/10.1260/1708-5284.11.6.557

Publisher

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Emerald Group Publishing Limited