Coupled estimation of flow and solute transport parameters

Water Resources Research

Volumn 32, Issue 10, 1996, Pages 3063-3076

  Medina, A ^a   Carrera, J ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFER; DIFFUSION; MAXIMUM LIKELIHOOD METHOD; METHODOLOGY; MODEL; PLANT LEAF; POROSITY; SOLUTE; STEADY STATE;

AQUIFERS; FINITE ELEMENT METHOD; FLOW; SOLUTE TRANSPORT;

COUPLED LINER FLOW; GROUNDWATER FLOW; NUMERICAL MODEL; SOLUTE TRANSPORT;

EID: 0029659809     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR00754     Document Type: Article

References (38)

1. Adar, E. M., S. P. Neuman, and D. A. Woolisher, Estimation of spatial recharge distribution using environmental isotopes and hydrochemical data, Mathematical model and application to synthetic data, J. Hydrol., 97, 251-277, 1988.
2. Bear, J., Dynamics of Fluids in Porous Media, Dover, Mineola, N. Y., 1972.
3. Bischoff, K., K. Wolf, and B. Heimgartner, Hydraulische leitfahigkeit, porositat und uranruckhaltung von kristallin und mergel: Bohrkerninfiltrationsversuche, EIR Rep. 628, Swiss Fed. Inst. for Reactor Res., Würenlingen, 1987.
4. Bury, K. V., Statistical Models in Applied Science, John Wiley, New York, 1975.
5. Carrera, J., Estimation of aquifer parameters under transient and steady state conditions, Ph.D. dissertation, Dep. of Hydrol. and Water Resour., Univ. of Arizona, Tucson, 1984.
6. Carrera, J., State of the art of the inverse problem applied to the flow and solute transport equations, in Analytical and Numerical Groundwater Flow and Quality Modelling, NATO-ARW Ser. C: Mathematical and Physical Sciences, vol. 224, edited by E. Custodio et al., pp. 549-583, D. Reidel, Norwell, Mass., 1987.
7. Carrera, J., INVERT-4: A Fortran program for solving the groundwater flow inverse problem, report, Cent. de int. de Metod. Numer. en Eng., Barcelona, Spain, 1994.
8. Carrera, J., and A. Medina, An improved form of adjoint-state equations for transient problems, paper presented at the X International Conference on Computational Methods in Water Resources, Interdis. Zentrum für Wiss. Rechn., Heidelberg, Germany, July 19-22, 1994.
9. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under steady-state and transient conditions, 1, Background and statistical framework, Water Resour. Res., 22(2), 199-210, 1986.
10. Carrera, J., and G. Walters, Theoretical developments regarding simulation and analysis of convergent flow tracer tests, report for Sandia National Laboratories, Esc. Tec. Super. de Ing. Caminos, Barcelona, Spain, 1985.
11. Carrera, J., A. Medina, J. Heredia, L. Vives, J. Ward, and G. Walters, Parameter estimation in groundwater modelling: From theory to application, in Proceedings of the International Conference on Groundwater Contamination: Use of Models in Decision-Making, Martinus Nijhoff, Dordrecht, the Netherlands, 1987.
12. Cooley, R. L., A comparison of several methods of solving nonlinear regression groundwater flow problems, Water Resour. Res., 21(10), 1525-1538, 1985.
13. Cooley, R. L., and R. L. Naff, Regression modeling of groundwater flow, U.S. Geol. Surv. Open File Rep., 85-180, 450 pp., 1985.
14. Custodio, E., J. Carrera, M. Manzano, A. Medina, X. Sánchez, and G. Galarza, Modelación de la contaminación por gasolina en el acuífero del valle bajo del río Llobregat, report for Entridad Metropolitana de Servicios Hidráulicos y Tratamiento de Residuos, Cent. Int. de Hidrol. Subterránea, Barcelona, Spain, 1992.
15. Dautray, R., and J. L. Lions, Analyse Mathématique et Calcul Numérique Pour les Sciences et les Techniques, Masson, Paris, 1988.
16. Edwards, A. W. F., Likelihood, Cambridge Univ. Press, New York, 1972.
17. Galarza, G., J. Carrera, and A. Medina, Implementación de la difusión en la matriz dentro de un modelo matemático de la ecuación de transporte, paper presented at the First Congress in Numerical Methods in Engineering, Soc. Espan. de Metod. Numer. en Eng., Las Palmas, Grand Canary Island, Spain, 1990.
18. Gorelick, S. M., B. Evans, and I. Remson, Identifying sources of groundwater pollution: An optimization approach, Water Resour. Res., 19(3), 779-790, 1983.
19. Hill, M. C., Analysis and accuracy of approximate simultaneous nonlinear confidence intervals on hydraulic heads in analytical and numerical test cases, Water Resour. Res., 25(2), 177-190, 1989.
20. Hill, M. C., Relative efficiency of four parameter estimation methods in steady-state and transient groundwater flow models, in Proceedings of the Eighth International Conference on Computational Methods in Water Resources, Comput. Mech., Billerica, Mass., 1990.
21. Kashyap, R. L., Optimal choice of AR and MA parts in autoregressive moving average models, IEEE Trans. Patterns Anal. Mach. Intell., PAMI-4(2), 99-104, 1982.
22. Keidser, A., and D. Rosbjerg, A comparison of four inverse approaches to groundwater flow and transport parameter identification, Water Resour. Res., 27(9), 2219-2232, 1991.
23. Medina, A., Estimación conjunta de los parámetros de las ecuaciones de flujo y transporte, doctoral thesis, Esc. Tec. Super. de Ing. Caminos, Univ. Politéc. de Cataluña, 1993.
24. Medina, A., J. Carrera, and G. Galarza, Inverse modelling of coupled flow and solute transport problems, ModelCARE 90: Calibration and reliability in groundwater modelling, IAHS Publ., 195, 185-194, 1990.
25. Murphy, V. V. N., and V. H. Scott, Determination of transport model parameters in groundwater aquifers, Water Resour. Res., 13(6), 941-947, 1977.
26. Neuman, S. P., and S. Yakowitz, A statistical approach to the inverse problems of aquifer hydrology, 1, Theory, Water Resour. Res., 15(4), 845-860, 1979.
27. Samper, J., J. Carrera, A. Medina, M. A. García Vera, and M. A. Vallecillo, Revisión del modelo de flujo y de transporte de contaminantes en las aguas subterráneas, report, Enresa Nac. de Residuos Radioactiv. Soc. Anonima, Madrid, 1991.
28. Strecker, E. W., and W. Chu, Parameter identification of a groundwater contaminant transport model, Groundwater, 24(1), 56-62, 1986.
29. Sun, N.-Z., and W. W.-G. Yeh, Coupled inverse problems in groundwater modeling, 1, Sensitivity analysis and parameter identification, Water Resour. Res., 26(10), 2507-2525, 1990.
30. Sun, N.-Z., and W. W.-G. Yeh, A stochastic inverse solution for transient groundwater flow: Parameter identification and reliability analysis, Water Resour. Res., 28(12), 3269-3280, 1992.
31. Umari, A., R. Willis, and P. L.-F. Liu, Identification of aquifer dispersivities in two-dimensional transient groundwater contaminant transport: An optimization approach, Water Resour. Res., 15(4), 815-831, 1979.
32. Van Rooy, D., A. Keidser, and D. Rosbjerg, Inverse modeling of flow and transport, in Groundwater Contamination, IAHS Publ., 185, 11-23, 1989.
33. Vecchia, A. V., and R. L. Cooley, Simultaneous confidence and prediction intervals for nonlinear regression models with application to a groundwater flow model, Water Resour. Res., 23(7), 1237-1250, 1987.
34. Wagner, B. J., Simultaneous parameter estimation and contaminant source characterization for coupled groundwater flow and contaminant transport modelling, J. Hydrol., 135, 275-303, 1992.
35. Wagner, B. J., and S. M. Gorelick, A statistic methodology for estimating transport parameters: Theory and applications to one-dimensional advective-dispersive systems, Water Resour. Res., 22(8), 1303-1313, 1986.
36. Woodbury, A. D., L. Smith, and W. S. Dunbar, Simultaneous inversion of hydrogeologic and thermal data, 1, Theory and application using hydraulic head data, Water Resour. Res., 23(8), 1586-1606, 1987.
37. 1 parameter estimator for model fitting in groundwater flow and solute transport simulations, Water Resour. Res., 29(6), 1661-1673, 1993.
38. Yeh, W. W.-G., Review of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22(2), 95-108, 1986.