Numerical approximation of an identification problem in porous media
نویسنده
چکیده
The mathematical model developed in this work can be used in the context of the industrial or accidental pollution of a soil with a liquid volatile organic pollutant. A relevant question for determining a possible remediation senarii is the ability to haracterize the level of the pollution in a short time. In this study, we consider a simple mathematical model for the rate limited mass transfer model between the liquid and the gaseous phase, we show that the pollutant concentration in the liquid phase at t=0 can be identified if the pollutant concentration in the gaseous phase is known at any positive time T. Let us consider a column of polluted soil, assumed to be a rigid porous medium, in which flows down fresh air. The gaseous phase is analysed at the bottom of the column.
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