Identification of groundwater parameters using an adaptative multiscale method

Ground Water

Volumn 49, Issue 4, 2011, Pages 548-559

  Majdalani, Samer ^a,b   Ackerer, Philippe ^c  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b UNIV MONTPELLIER   (France)

^c Et Université de Strasbourg   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AREA-BASED; EXPERIMENTAL OBSERVATION; GROUND WATER RECHARGE; GROUNDWATER MODELING; GROUNDWATER MODELS; HETEROGENEOUS SYSTEMS; MODEL CALIBRATION; MULTISCALE METHOD; MULTISCALES; PARAMETERIZATION METHOD; PUMPING WELL; SIMULATED HEADS; STOCHASTIC FEATURES; SURFACE WATER BODY;

AQUIFERS; GROUNDWATER RESOURCES; HYDRAULIC CONDUCTIVITY; HYDROGEOLOGY; IDENTIFICATION (CONTROL SYSTEMS); INTERPOLATION; INVERSE PROBLEMS; SURFACE WATERS; TWO DIMENSIONAL;

RECHARGING (UNDERGROUND WATERS);

AQUIFER; HYDRAULIC CONDUCTIVITY; INTERPOLATION; MODEL VALIDATION; PARAMETERIZATION; PIEZOMETER; PUMPING; QUALITATIVE ANALYSIS; RECHARGE; SPATIAL DISTRIBUTION; STOCHASTICITY; SURFACE WATER; ZONATION;

ARTICLE; GEOGRAPHY; GERMANY; RIVER; SWITZERLAND; THEORETICAL MODEL; WATER SUPPLY;

GEOGRAPHY; GERMANY; MODELS, THEORETICAL; RIVERS; SWITZERLAND; WATER SUPPLY;

RHINE VALLEY;

EID: 79959508842     PISSN: 0017467X     EISSN: 17456584     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2010.00750.x     Document Type: Article

References (48)

1. Alcolea, A., J. Carrera, and A. Medina. 2006. Pilot points method incorporating prior information for solving the groundwater flow inverse problem. Advances in Water Research 29, 1678-1689.
2. Anderson, M.P., and W.W. Woessner. 1992. Applied Groundwater Modeling. 382. San Diego, California: Academic Press Inc.
3. Armbruster, V., and C. Leibundgut. 2001. Determination of spatially and temporally highly detailed groundwater recharge in porous aquifers by a SVAT model. Physics and Chemistry of the Earth (E) 26, no. 7-8: 607-611.
4. Bear, J. 1972. Dynamics of Fluids in Porous Media. 335. New York: Elsevier.
5. Ben Ameur, H., G. Chavent, and J. Jaffré. 2002. Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities. Inverse Problems 18, 775-794.
6. Bentley, L.R. 1993. Least squares solution and calibration of steady state groundwater flow systems. Advances in Water Research 16, 137-148.
7. Braud, I., C. Obled, and A. Phamdinhtuan. 1993. Empirical orthogonal function (EOF) analysis of spatial random fields: theory, accuracy of the numerical approximations and sampling effects. Stochastic Hydrology and Hydraulics 7, 146-160.
8. Byrd, R.H., P. Lu, J. Nocedal, and C. Zhu. 1994. A limited memory algorithm for bound constraint optimization. Technical Report, NAM-08. Northwest University, Department of Electrical Engineering and Computer Science, 24p.
9. Cardiff, M., and P.K. Kitanidis. 2009. Bayesian inversion for facies detection: an extensible level set framework. Water Resources Research 45, W10416. DOI: 10.1029/2008WR007675.
10. Carrera, J., A. Alcolea, A. Medina, J. Hildalgo, and L.J. Slooten. 2005. Inverse problem in hydrogeology. Journal of Hydrology 13, 206-222.
11. Carrera, J., and S.P. Neuman. 1986a. Estimation of parameter under transient and steady state conditions, 1, Maximum likelihood method incorporating prior information. Water Resources Research 22, no. 2: 199-210.
12. Carrera, J., and S.P. Neuman. 1986b. Estimation of parameter under transient and steady state conditions, 2, Uniqueness, stability and solution algorithms. Water Resources Research 22, no. 2: 221-227.
13. Carrera, J., and S.P. Neuman. 1986c. Estimation of parameter under transient and steady state conditions, 3, Application to synthetic and field data. Water Resources Research 22, no. 2: 228-242.
14. Chardigny, E. 1999. Modélisation de l'hydrodynamique des eaux souterraines de la conception du modèle à l'estimation des paramètres par approche inverse. Thèse de doctorat, 364. Université Louis Pasteur de Strasbourg, France.
15. Chavent, G., M. Dupuy, and P. Lemonnier. 1975. History matching by use of optimal control. Society of Petroleum Engineers Journal 15, no. 1: 74-86.
16. Chen, W.H., G.R. Gavalas, J.H. Seinfeld, and M.L. Wasserman. 1974. A new algorithm for automatic history matching. Society of Petroleum Engineers Journal 14, no. 6: 593-608.
17. Coats, K.H., J.R. Dempsey, and J.H. Henderson. 1970. A new technique for determining reservoir description from field performance data. Society of Petroleum Engineers Journal 10, no. 1, 66-74.
18. Cooley, R.L. 1979. A method of estimating parameter and assessing reliability for models of steady-state groundwater flow. 2. Application of statistical analysis. Water Resources Research 15, no. 3:603-617.
19. Durand, S., F. Chabaux, S. Rihs, P. Duringer, and P. Elsass. 2005. U isotope ratios as tracers of groundwater inputs into surface waters: example of the upper rhine hydrosystem. Chemical Geology 220, 1-19.
20. Emsellem, Y., and G. de Marsily. 1971. An automatic solution for the inverse problem. Water Resources Research 7, no. 5: 1264-1283.
21. Eppstein, M.J., and D.E. Dougherty. 1996. Simultaneous estimation of transmissivity values and zonation. Water Resources Research 32, no. 11: 3321-3336.
22. Garay, H.L., Y.Y. Haimes, and P. Das. 1976. Distributed parameter identification of groundwater systems by nonlinear estimation. Journal of Hydrology 30, 47-61.
23. Georgakados, A.P., K.P. Georgakados, and A. Baltas. 1990. A state-space model for hydrologic river routine. Water Resources Research 26, no. 5: 827-838.
24. Gill, M.A. 1978. Flood routing by the Muskingum method. Journal of Hydrology 36, 353-363.
25. Grimstad, A.A., T. Mannseth, G. Naevdal, and H. Urkedal. 2003. Adaptive multiscale permeability estimation. Computational Geosciences 7, 1-25.
26. Hayek, M., F. Lehmann, and P. Ackerer. 2008. Adaptive multi-scale parameterization for one-dimensional flow in unsaturated porous media. Advances in Water Research 31, no. 1: 28-43.
27. Hayek, M., and P. Ackerer. 2007. An adaptive subdivision algorithm for the identification of the diffusion coefficient in two-dimensional elliptic problems. Journal of Mathematical Modelling and Algorithms 6, 529-545.
28. Hendricks-Franssen, H.J., A. Alcolea, M. Riva, M. Bakr, N. van der Wiel, F. Stauffer, and A. Gaudagnini. 2009. A comparison of seven methods for the inverse modelling of groundwater flow. Application to the characterisation of well catchments. Advances in Water Research 32, 851-872.
29. Kuhlmann, U. 1992. Inverse Modellierung in geklüfteten Grundwasserträgern, VAW Mitteilungen pp. 236, VAW, Zürich.
30. Landesanstalt für Umwelt, Messungen und Naturschutz Baden-Württemberg (LUBW). 2006. Grundwasserströmung und Nitrattransport/Modélisation hydrodynamique et transport des nitrates, final report of the Interreg-III project MoNit, Karlsruhe.
31. Larocque, M., O. Banton, P. Ackerer, and M. Razack. 1999. determining karst transmissivities with inverse modeling and an equivalent porous media. Ground Water 37, no. 6: 897-903.
32. Lien, M., I. Berre, and T. Mannseth. 2006. Combined adaptive multiscale and level-set parameter estimation. Multiscale Modeling and Simulation 4, no. 4: 1349-1372.
33. Longuevergne, L., N. Florsch, and P. Elsass. 2007. Extracting coherent regional information from local measurements with Karhunen-Loe've transform: Case study of an alluvial aquifer (Rhine valley, France and Germany). Water Resources Research 43, W04430. DOI: 10.1029/2006WR005000.
34. Lu, Z., and B.A. Robinson. 2006. Parameter identification using the level set method. Geophysical Research Letters 33, L06404. DOI: 10.1029/2005GL025541.
35. Lucas, Y., A.D. Schmitt, F. Chabaux, A. Clément, B. Fritz, P. Elsass, and S. Durand. 2010. Geochemical tracing and hydrogeochemical modelling of water-rock interactions during salinization of alluvial groundwater (Upper Rhine Valley, France. Applied Geochemistry. In press.
36. Marquardt, D.W. 1963. An algorithm for least squares estimation of nonlinear parameters. SIAM Journal 11, 431-441.
37. Neuman, S.P., and V. Di Federico. 2003. Multifaceted nature of hydrogeologic scaling and its interpretation. Reviews of Geophysics 41, no. 3: 1014. DOI: 10.1029/2003RG000130.
38. Nielsen, L.K., S. Subbey, M. Christie, and T. Mannseth. 2006. Reservoir description using dynamic parameterisation selection with a combined stochastic and gradient search. Computational Geosciences 10, 321-342.
39. Poeter, E.P., and M.C. Hill. 1997. Inverse methods: a necessary next step in groundwater modeling. Ground Water 35, no. 2: 250-260.
40. Sagar, B.S., S. Yakowitz, and L. Duckstein. 1975. A direct method for the identification of parameter of dynamic non-homogeneous aquifers. Water Resources Research 11, no. 4: 563-570.
41. Sophocleous, M. 2002. Interactions between groundwater and surface water: the state of the science. Hydrogeology Journal 10, no. 1: 52-67.
42. Sun, N.Z., S.L. Yang, and W.W.G. Yeh. 1998. A proposed stepwise regression method for model structure identification. Water Resources Research 34, no. 10: 2561-2572.
43. Sun, N.Z., and W.W.G. Yeh. 1985. Identification of parameter structure in groundwater inverse problem. Water Resources Research 21, no. 6: 869-883.
44. Tsai, F.T.C., and W.W.G. Yeh. 2004. Characterization and identification of aquifer heterogeneity with generalized parameterization and Bayesian estimation. Water Resources Research 40, W10102. DOI: 10.1029/2003WR002893.
45. Weiss, R., and R. Smith. 1993. Parameter estimation using hydraulic head and environmental tracer data. In Proceedings of the Groundwater Modelling Conference, ed. E. Poeter, S. Ashlock, and J. Proud, 1-69. Golden, Colorado: IGWMC.
46. Woodbury, A.D., and J.L. Smith. 1988. Simultaneous inversion of temperature and hydraulic head data, 2. Application with thermal data. Water Resources Research 24, no. 3: 356-372.
47. Yeh, W.W.G., and Y.S. Yoon. 1981. Parameter identification with optimum dimension in parameterization. Water Resources Research 17, no. 3: 664-672.
48. Yoon, Y.S., and W.W.G. Yeh. 1976. Parameter identification in an inhomogeneous medium with finite -element method. Society of Petroleum Engineers Journal 217-226.