Approximate sensitivity coefficients for integrating hydraulic head data into geological models

Journal of Hydrology

Volumn 347, Issue 3-4, 2007, Pages 460-473

  Khan, D K ^a   Deutsch, C V ^b   Mendoza, C A ^b   Rostron, B J ^b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Calibration; Hydraulic head; Inverse problem; Permeability; Sensitivity coefficients; Streamlines

Indexed keywords

CALIBRATION; INVERSE PROBLEMS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY;

HYDRAULIC HEAD; SENSITIVITY COEFFICIENTS; STREAMLINES;

HYDRAULIC CONDUCTIVITY;

CALIBRATION; HYDRAULIC CONDUCTIVITY; INVERSE PROBLEMS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY;

ASSESSMENT METHOD; CALIBRATION; HYDRAULIC HEAD; HYDROLOGICAL RESPONSE; MODELING; PERMEABILITY; SENSITIVITY ANALYSIS;

EID: 36248933128     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2007.09.043     Document Type: Article

References (47)

1. Ahmed S., and de Marsily G. Co-kriged estimates of transmissivities using jointly water level data. In: Armstrong M. (Ed). Geostatistics; Proceedings of the Third International Geostatistics Congress vol. 2 (1989), Kluwer Acad. Publ, Dordrecht, Netherlands 615-628
2. Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady state conditions; 1, Maximum likelihood method incorporating prior information. Water Resources Research 22 2 (1986) 199-210
3. Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady state conditions; 2, Application to synthetic and field data. Water Resources Research 22 2 (1986) 228-242
4. Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady state conditions; 2, Uniqueness, stability, and solution algorithms. Water Resources Research 22 2 (1986) 211-227
5. Carrera J., Navarrina F., Viues L., Heredia J., and Medina A. Computational aspects of the inverse problem. In: Gambolati G., Rinaldo A., Brebbia C.A., Gray W.G., and Pinder George F. (Eds). Computational Methods in Subsurface Hydrology (1990), Comput. Mech. Publ., Southampton, United Kingdom 513-522
6. Carrera J., Medina A., Axness C., and Zimmerman T. Formulations and computational issues of the inversion of random fields. In: Dagan G., and Neuman S.P. (Eds). Subsurface Flow and Transport: A Stochastic Approach, International Hydrology Series (1997), Cambridge University Press 62-79
7. Carrera J., Alcolea A., Medina A., Hidalgo J., and Slooten L.J. Inverse problem in hydrogeology. Hydrogeology Journal 13 1 (2005) 206-222
8. Chu L., Reynolds A.C., and Oliver D.S. Computation of sensitivity coefficients for conditioning the permeability field to well-test pressure data. In Situ 19 2 (1995) 179-223
9. Cooley R.L. A method of estimating parameters and assessing reliability for models of steady state groundwater flow; 1, Theory and numerical properties. Water Resources Research 13 2 (1977) 318-324
10. Cooley R.L. A method of estimating parameters and assessing reliability for models of steady state groundwater flow; 2, Application of statistical analysis. Water Resources Research 15 3 (1979) 603-617
11. Cooley R.L. Incorporation of prior information on parameters into nonlinear regression groundwater flow models; 1, Theory. Water Resources Research 18 4 (1982) 965-976
12. Cooley R.L. Incorporation of prior information on parameters into nonlinear regression ground-water flow models; 2, Applications. Water Resources Research 19 3 (1983) 662-676
13. Dagan G. Stochastic modeling of groundwater flow by unconditional and conditional probabilities; the inverse problem. Water Resources Research 21 1 (1985) 65-72
14. Dagan G., and Rubin Y. Stochastic identification of recharge, transmissivity, and storativity in aquifer transient flow; a quasi-steady approach. Water Resources Research 24 10 (1988) 1698-1710
15. de Marsily G., Delhomme J.P., Coudrain-Ribstein A., and Lavenue A.M. Four decades of inverse problems in hydrogeology. Geophysical Society of America, Special Paper 348 (2000) 1-28
16. Deutsch C.V. FORTRAN programs for calculating connectivity of 3-D numerical models and for ranking multiple realizations. Computers & Geosciences 24 1 (1998) 69-76. see
17. Deutsch C.V., and Journel A.G. GSLIB, Geostatistical Software Library and Users Guide (1998), Oxford University Press, New York, Oxford pp. 369
18. Dietrich C.R., Newsam G.N., Anderssen R.S., Ghassemi F., and Jakeman A.J. A practical account of instabilities in identification problems in groundwater systems. BMR Journal of Australian Geology and Geophysics 11 (1989) 273-284
19. Dogru A.H., and Seinfeld J.H. Comparison of sensitivity coefficient calculation methods in automatic history matching. Society of Petroleum Engineers Journal (1981) 551-557
20. Emsellem Y., and de Marsily G. An automatic solution for the inverse problem. Water Resources Research 7 5 (1971) 1264-1283
21. Ginn T.R., and Cushman J.H. Inverse methods for subsurface flow. Stochastic Hydrology and Hydraulics 4 (1990) 1-26
22. Gomez-Hernandez J.J., Sahuquillo A., and Capilla J.E. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data; I, Theory. Journal of Hydrology 203 1-4 (1997) 162-174
23. Gutjahr A., and Wilson J.L. Co-kriging for stochastic flow models. In: de Marsily G. (Ed). The Stochastic Approach to Subsurface Flow., 4; 6, Transport in Porous Media (1989), D. Reidel Publishing Company, Dordrecht, International 585-598
24. 2 project area and gradient-free inverse conditioning of heterogeneous aquifer models to hydraulic head data. PhD Thesis, University of Alberta, Edmonton, Alberta, Canada, pp. 238.
25. Kitanidis P.K., and Vomvoris E.G. A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations. Water Resources Research 19 3 (1983) 677-690
26. Landa, J.L. Horne, R.N., 1997. A procedure to integrate well test data, Reservoir Performance History and 4-D Seismic Information into a Reservoir Description, SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, San Antonio, TX, pp. 177-192.
27. Loaiciga H.A., and Marino M.A. On solution of the inverse problem for confined aquifer flow via maximum likelihood. Mathematical Geology 18 7 (1986) 677-692
28. Loaiciga H.A., and Marino M.A. Parameter estimation in groundwater: classical, Bayesian, and deterministic assumptions and their impact on management policies. Water Resources Research 23 6 (1987) 1027-1035
29. McLaughlin D., and Townley L.R. A reassessment of the groundwater inverse problem. Water Resources Research 32 5 (1996) 1131-1161
30. Medina A., and Carrera J. Geostatistical inversion of coupled problems: dealing with computational burden and different types of data. Journal of Hydrology 281 4 (2003) 251-264
31. Neuman S.P. Calibration of distributed parameter groundwater flow models viewed as a multiple-objective decision process under uncertainty. Water Resources Research 9 4 (1973) 1006-1021
32. Oliver D.S. Incorporation of transient pressure data into reservoir characterization. In Situ 18 3 (1994) 243-275
33. Pollock D.W. Semianalytical computation of path lines for finite-difference models. Ground Water 26 6 (1988) 743-750
34. RamaRao B.S., LaVenue A.M., de Marsily G., and Marietta M.G. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields; 1, Theory and computational experiments. Water Resources Research 31 3 (1995) 475-493
35. Spall J.C. Multivariate stochastic approximation using a simultaneous perturbation gradient approximation. IEEE Transactions on Automatic Control 37 (1992) 332-341
36. Spall J.C. Simultaneous Perturbation Stochastic Approximation. Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control, Wiley-Interscience series in discrete mathematics (2003), John Wiley and Sons, Inc., Hoboken, New Jersey pp. 177-230
37. Sun N.Z., and Yeh W.W.G. A stochastic inverse solution for transient groundwater flow; parameter identification and reliability analysis. Water Resources Research 28 12 (1992) 3269-3280
38. Sun N.Z., Jeng M.C., and Yeh W.W.G. A proposed geological parameterization method for parameter identification in three-dimensional groundwater modeling. Water Resources Research 31 1 (1995) 89-102
39. Sykes J.F., Wilson J.L., and Andrews R.W. Sensitivity analysis for steady state groundwater flow using adjoint operators. Water Resources Research 21 3 (1985) 359-371
40. Thiele, M.R. (2001) Streamline simulation, Sixth International Forum on Reservoir Simulation, Schloss Fuschl, Austria.
41. Townley L.R., and Wilson J.L. Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models of groundwater flow. Water Resources Research 21 1 (1985) 1851-1860
42. Vasco D.W., Yoon S., and Datta-Gupta A. Integrating dynamic data into high-resolution reservoir models using streamline-based sensitivity coefficients. SPE Journal 4 4 (1999) 389-399
43. Wang, Y., Kovscek, A., 2000. A streamline approach for history-matching production data, SPE Paper 59370 presented at SPE/DOE Improved Oil Recovery Symposium, Tulsa, Oklahoma, pp. 1-8.
44. Wen X.-H., Deutsch C.V., and Cullick A.S. Construction of geostatistical aquifer models integrating dynamic flow and tracer data using inverse technique. Journal of Hydrology 255 (2002) 151-168
45. Woodbury A.D., Smith L., and Dunbar W.S. Simultaneous inversion of hydrogeologic and thermal data; 1, Theory and application using hydraulic head data. Water Resources Research 23 8 (1987) 1586-1606
46. Yeh W.W.G. Review of parameter identification procedures in groundwater hydrology: The inverse problem. Water Resources Research 22 2 (1986) 95-108
47. Yeh T.C.J., and Zhang J. A geostatistical inverse method for variably saturated flow in the vadose zone. Water Resources Research 32 9 (1996) 2757-2766