Identification of injection and extraction wells from overspecified boundary data

A three-player Nash game for point-wise source identification in Cauchy–Stokes problems

“…To the best of our knowledge, there are no papers which address algorithmic aspects in solving the present coupled point-wise source identification and boundary data recovery problems for the steady Stokes flows. The paper [21] addresses the coupled inverse problem of identifying wells and recovering boundary data, but with the help of a number of interior measurements. We can also mention an earlier paper made by El Badia and Ha-Duong [9] for an inverse source problem for elliptic equations.…”

A data completion method for identifying pollution intrusion in aquifers

“…This method has been applied in several fields, including medical diagnosis, remote sensing, traffic studies, and groundwater flow 15 . The data completion method has also been used for marine intrusion problems in 6 , 15 , 16 . In 6 , the authors applied this technique to locate the land-sea interface in a coastal aquifer.…”

“…In 6 , the authors applied this technique to locate the land-sea interface in a coastal aquifer. In 16 , this method was used by Mansouri et al to identify the well position and pumping rate from the knowledge of the hydraulic head and flow on a part of the domain boundary. In 15 , Bel Hadj Hassine et al have reconstructed the fluid flow and the concentration of a solute on a non-accessible part of the boundary for the advection-diffusion equations.…”

Data completion problem for the advection‐diffusion equation with aquifer point sources

“…The data completion problem was studied by Hariga et al 14,15 and Mansouri et al 16 for the diffusion equation and by CimetiÈre et al 17 and Escriva et al 18 for the identification of cracks. Hamdi 19 has used the same method in order to identify pollution sources in the case of the stationary two‐dimensional advection‐diffusion‐reaction equation.…”