On an Inverse Problem of Pressure Recovery Arising from Soil Venting Facilities

The technique of soil venting is commonly used for remediation of the unsaturated zone of the soil, which is contaminated by gaseous organic pollutants in the pores. We study a steady state model with a finite number of extraction wells, where the air flow field in the subsurface is described by a linear elliptic boundary value problem, with a Neumann boundary condition, accompanied of a Dirichlet side condition, containing parameters. We develop a constructive method for the parameter identification, i.e. for the determination of the unknown pressure values at the active wells from their measured total discharges