SIMULATION OF CONTAMINANT MOVEMENT THROUGH A POROUS MEDIUM
DOI:
https://doi.org/10.56238/revgeov17n3-054Keywords:
Porous Medium, Riemann Problem, Pollutant Transport, Exact SolutionAbstract
This work presents a mathematical description of the flow of Newtonian fluids containing non-reactive pollutants through rigid and homogeneous porous media, modeled using a Mixture Theory approach. The main objective is to simulate the flow through a porous medium, associated with the movement of pollutants within it. For this simulation, an infinite porous medium will be considered, initially containing a fluid with a given density and velocity distribution and a pollutant element with a given concentration. The simulation presented illustrates how the fluid and the pollutant move within the porous medium, starting from a given initial data. The mathematical problem to be solved, in general, does not admit a continuous solution, presenting shock waves for the complete representation of the phenomenon. Starting from a step function as the initial condition, the exact solution is presented, encompassing all possibilities.
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References
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