Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: R. Aboulaich, B. Achchab, A. Darouichi and D. Meskine
Pages: [635] - [662]
Received Date: November 9, 2008
Submitted by:
Soil Vapor Extraction (SVE) is a common remediation technique for removing volatile organic compounds (VOCs) from unsaturated contaminated soils. A pollution problem is presented to describe the vapor transport of a volatile organic contaminant in a porous media with a non-equilibrium kinetics, during vapor extraction. An inverse problem permitting to show that the initial concentration of the pollutant in liquid phase, can be identified, since we can compute its concentration in gaseous phase at final time, is studied. The existence and uniqueness of the direct problem is presented as well as the existence of the inverse problem in bidimensional case in non pondered spaces. In addition, the initial concentration of the pollutant in liquid phase is constructed by reformulating the inverse problem as a problem of optimization in least squares sense.
existence and uniqueness, inverse problem, mass transfer, porous media, SVE, unsaturated soil.
