Wells' identification and transmissivity estimation in porous media

References

• Atmadja J, Bagtzoglou AC. Pollution source identification in heterogeneous porous media. Water Resour Res. 2001;37:2113–2125. doi: 10.1029/2001WR000223
   Web of Science ®Google Scholar
• Atmadja J, Bagtzoglou AC. State of the art report on mathematical methods for groundwater pollution source identification. Environ Forensics. 2001;2:205–214. doi: 10.1006/enfo.2001.0055
   Web of Science ®Google Scholar
• Ben Abda A, Ben Hassen F, Leblond J, et al. Sources recovery from boundary data: a model related to electroencephalography. Math Comput Model. 2009;49:2213–2223. doi: 10.1016/j.mcm.2008.07.016
   Google Scholar
• Ben Abda A, Mdimagh R, Saada A. Identification of pointwise sources and small size flaw via the reciprocity gap principle; stability estimates. Int J Tomogr Stat. 2006;4.
   Google Scholar
• Hamdi A. The recovery of a time-dependent point source in a linear transport equation: application to surface water pollution. Inverse Probl. 2009;25:075006.
   Web of Science ®Google Scholar
• Hariga NT, Bouhlila R, Ben Abda A. Identification of aquifer point sources and partial boundary condition from partial overspecified boundary data. Comptes Rendus Geoscience. 2008;340:245–250. doi: 10.1016/j.crte.2007.11.006
   Web of Science ®Google Scholar
• Hariga NT, Bouhlila R, Ben Abda A. Recovering data in groundwater: boundary conditions and wells' positions and fluxes. Comput Geosci. 2011;15:637–645. doi: 10.1007/s10596-011-9231-9
   Web of Science ®Google Scholar
• Mansouri W, Baranger TN, Benameur H, et al. Identification of injection and extraction wells from overspecified boundary data. Inverse Probl Sci Eng. 2017;25:1091–1111. doi: 10.1080/17415977.2016.1222527
   Web of Science ®Google Scholar
• Schumacher A. Topologieoptimierung von Bauteilstrukturen unter Verwendung von Lochpositionierungskriterien [Dr.-Thesis]. Universität-GH Siegen; 1996. TIM-Bericht Nr. T09-01.
   Google Scholar
• Sokolowski J, Zochowski A. On the topological derivative in shape optimization. SIAM J Control Optim. 1999;37:1251–1272. doi: 10.1137/S0363012997323230
   Web of Science ®Google Scholar
• Amstutz S. The topological asymptotic for Navier Stokes equations. ESAIM Control Optim Cal Var. 2005;11:401–425. doi: 10.1051/cocv:2005012
   Web of Science ®Google Scholar
• Bonnet M, Guzina B. Sounding of finite solid bodies by way of topological derivative. Int J Numer Methods Eng. 2004;61:2344–2373. doi: 10.1002/nme.1153
   Web of Science ®Google Scholar
• Garreau S, Guillaume Ph, Masmoudi M. The topological asymptotic for pde systems the elasticity case. SIAM J Cont Optim. 2001;39:1756–1778. doi: 10.1137/S0363012900369538
   Web of Science ®Google Scholar
• Benameur H, Chavent G, Clèment F, et al. The multi-dimensional refinement indicators algorithm for optimal parameterization. Inverse Ill Posed Probl. 2008;16:107–126.
   Web of Science ®Google Scholar
• Benameur H, Chavent G, Jaffré J. Refinement and coarsening indicators for adaptive parameterization application to the estimation of hydraulic transmissivities. Inverse Probl. 2002;18:775–797. doi: 10.1088/0266-5611/18/3/317
   Web of Science ®Google Scholar
• Yeah WG. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Water Resour Res. 1986;22:95–108. doi: 10.1029/WR022i002p00095
   Web of Science ®Google Scholar
• Bear J. Hydraulics of groundwater; Sections 5 and 8. New York: McGraw-Hill; 1979. 563 pages. ISBN 0070041709.
   Google Scholar
• De Marsily G. Hydrogèologie quantitative; Section 7. Paris: Masson; 1981. 215 pages. ISBN 2225755.
   Google Scholar
• Freeze A, Cherry JA. Groundwater; Section 6. Upper Saddle River (NJ): Prentice Hall; 1979. 604 pages.
   Google Scholar
• Dupuit J. Mouvement de l'eau à travers les terrains permèables. R Hebd Seances Acad Sci. 1857;45:92–96.
   Google Scholar
• De Marsily G. Quantitative hydrogeology: groundwater hydrology for engineers; Section 7. New-York: Academic Press; 1986. ISBN 0122089162.
   Google Scholar
• Zienkiewicz OC, Taylor RL, Zhu JZ. The finite element method: its basis and fundamentals; Section 3. 7th ed. 2013. 708 pages. Available from: https://doi.org/10.1016/C2009-0-24909-9. ISBN 978-1-85617-633-0.
   Google Scholar
• Maatoug H, Masmoudi M. The topological sensitivity analysis for the Quasi-Stokes problem. ESAIM. 2004;10:478–504.
   Google Scholar
• Masmoudi M, Pommier J, Samet B. The topological asymptotic expansion for the Maxwell equations and some applications. Inverse Probl. 2005;21:547–564. doi: 10.1088/0266-5611/21/2/008
   Web of Science ®Google Scholar
• Masmoudi M. The topological asymptotic, computational methods for control applications. GAKUTO Internat Ser Math Sci Appl. 2001;16:53–72.
   Google Scholar
• Novotny AA, Feijoo RA, Padra C, et al. Topological sensitivity analysis. Methods Appl Mech Engine. 2003;192:803–829. doi: 10.1016/S0045-7825(02)00599-6
   Web of Science ®Google Scholar
• Samet B, Amstutz S, Masmoudi M. The topological asymptotic for the Helmholtz equation. SIAM J Control Optim. 2003;42:1523–1544. doi: 10.1137/S0363012902406801
   Web of Science ®Google Scholar
• Konikow L. Modeling chloride movement in the alluvial aquifer at the Rocky Mountain Arsenal. Colorado: 1979. (Technical report water-supply paper, USGS; 2044).
   Google Scholar
• Voss CI. Sutra a model for saturated-unsaturated, variable-density ground-water flow with solute or energy transport. U.S. Geological Survey, U.S. Department of the Interior; 2003. (Technical report; Report 02-4231).
   Google Scholar
• Riahi MH, Benameur H, Jaffré J, et al. Refinement indicators for estimating hydrogeologic parameters. Inverse Probl Sci Eng. 2018;27:317–339.
   Google Scholar
• Slodicka M. Finite elements in modeling of flow in porous media: how to describe wells. Acta Math Univ Comenianae. 1998;67:197–214.
   Google Scholar