Sensitivity and moment analyses of head in variably saturated regimes

Advances in Water Resources

Volumn 21, Issue 6, 1998, Pages 477-485

  Li, B ^a   Yeh, T C J ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FLOW OF WATER; MATHEMATICAL MODELS; NUMERICAL METHODS; POROUS MATERIALS; SENSITIVITY ANALYSIS;

FIRST ORDER TAYLOR SERIES EXPANSION; HEAD; MOMENT ANALYSIS; SATURATED FLOW;

FLUID MECHANICS;

GROUNDWATER; HYDRAULICS; POROUS MEDIUM;

GROUNDWATER FLOW; HYDRAULIC HEAD; POROUS MEDIUM; SATURATED FLOW;

EID: 0032550609     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(97)00011-0     Document Type: Article

References (34)

1. 1. T.-C.J. Yeh, Stochastic modeling of water flow and solute transport in the vadose zone, in: A.I. Ei-kadi (Ed.), Groundwater Models for Resource Analysis and Management. Lewis Publishers, 1995, pp. 185-230.
2. 2. Dagan, G. Stochastic modeling of groundwater flow by unconditional and conditional probabilities 1. Conditional simulation and the direct problem. Water Resources Research, 1982, 18(4) 813-833.
3. 3. Dagan, G. Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers. Water Resources Research, 1988, 24(9) 1491-1500.
4. 4. Rubin, Y. & Dagan, G. A note on head and velocity covariances in three-dimensional flow through heterogeneous anisotropic porous media. Water Resources Research, 1992, 28(5) 1463-1470.
5. 5. Bakr, A.A., Gelhar, L.W., Gutjahr, A.L. & MacMillan, J.R. Stochastic analysis of spatial variability in subsurface flows, 1. Comparison of one and three-dimensional flows. Water Resources Research, 1978, 14 263-271.
6. 6. Mizell, A.A., Gutjahr, A.L. & Gelher, L.W. Stochastic analysis spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads. Water Resources Research, 1982, 18(4) 1053-1067.
7. 7. Gelhr, L.W. & Axness, C.L. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Research, 1983, 19(1) 161-180.
8. 8. Yeh, T.-C.J., Gelhar, L.W. & Gutjar, A.L. Stochastic analysis of unsaturated flow in heterogeneous soils 1. Statistically isotropic media. Water Resources Research, 1985, 21(4) 447-456.
9. 9. Yeh, T.-C.J., Gelhar, L.W. & Gutjar, A.L. Stochastic analysis of unsaturated flow in heterogeneous soils 2. Statistically anisotropic media with variable alpha. Water Resources Research, 1985, 21(4) 457-464.
10. 10. Yeh, T.-C.J., Gehar, L.W. & Gutjar, A.L. Stochastic analysis of unsaturated flow in heterogeneous soils 3. Observations and applications. Water Resources Research, 1985, 21(4) 465-472.
11. 11. Russo, D. Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation. Water Resources Research, 1993, 29(2) 383-397.
12. 12. Delhomme, J.P. Spatial variability and uncertainty in groundwater flow parameters: a geostatistical approach. Water Resources Research, 1979, 15(2) 269-280.
13. 13. Smith, L. & Schwartz, F.W. Mass transport, 1. A stochastic analysis of macroscopic dispersion. Water Resources Research, 1980, 16(2) 303-313.
14. 14. Smith, L. & Schwartz, F.W. Mass transport 1. Analysis of uncertainty in prediction. Water Resources Research, 1981, 17(2) 351-368.
15. 15. Smith, L. & Schwartz, F.W. Mass transport 3. Role of hydraulic conductivity in prediction. Water Resources Research, 1981, 17(5) 1463-1479.
16. 16. Harter, T. & Yeh, T.-C.J. Conditional stochastic analysis of solute transport in heterogeneous variably saturated soils. Water Resources Research, 1996, 32(6) 1597-1609.
17. 17. Dettinger, M.D. & Wilson, J. L First-order analysis of uncertainty in numerical models of groundwater flow, Part 1. Mathematical development. Water Resources Research, 1981, 17(1) 149-161.
18. 18. Townley, L.R. & Wilson, J.L. Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models of groundwater flow. Water Resources Research, 1985, 21(12) 1851-1860.
19. 19. Hoeksema, R.J. & Kitanidis, P.K. An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling. Water Resources Research, 1984, 20(7) 1003-1020.
20. 20. Sun, N.-Z. & Yeh, W.W.-G. A stochastic inverse solution for transient groundwater flow: parameter identification and reliability analysis. Water Resources Research, 1992, 28(12) 3269-3280.
21. 21. Gardner, W.R. Some steady state solutions of unsaturated moisture flow equations with applications to evaporation from a water table. Soil Science, 1958, 85 228-232.
22. 22. Russo, D. Determining soil hydraulic properties by parameter estimation: on the selection of a model for the hydraulic properties. Water Resources Research, 1988, 24(3) 453-459.
23. 23. Sudicky, E.A. A natural gradient experiment on solute transport in a sand aquifer: spatial varaiability of hydraulic conductivity and its role in the dispersion process. Water Resources Research, 1986, 22(2) 2069-2082.
24. 24. White, I. & Sully, M.J. On the variability and use of the hydraulic conductivity alpha parameter in stochastic treatments of unsaturated flow. Water Resources Research, 1992, 28(1) 209-213.
25. 25. Yeh, T.-C.J. Stochastic modeling of groundwater flow and solute transport in aquifers. Hydrological Processes, 1992, 6 369-395.
26. 26. S. Hanna, T.-C.J. Yeh, Estimation of co-conditional moments of transmissivity, hydraulic head, and vcelocity field. Advances in Water Resources, 1998, in press.
27. 27. G. de Marsily, Quantitative Hydro Geology. Academic, New York, 1986.
28. 28. Russo, D. & Bouton, M. Statistical analysis of spatial variability in unsaturated flow parameters. Water Resources Research, 1992, 28(7) 1911-1925.
29. 29. Carrera, J. & Neuman, S.P. Estimation of aquifer parameters under transient and steady state conditions, 1. Maximum likelihood method incorporating prior information. Water Resources Research, 1986, 22(2) 199-210.
30. 30. Sykes, J.F., Wilson, J.L. & Andrews, R.W. Sensitivity analysis for steady state groundwater flow using adjoint operators. Water Resources Research, 1985, 21(3) 359-371.
31. 31. Srivastava, R. & Yeh, T.-C.J. A three-dimensional numerical model for water flow and transport of chemically reactive solute through porous media under variably saturated conditions. Advances in Water Resources, 1992, 15 275-287.
32. 32. Yeh, T.-C.J. & Zhang, J. A geostatistical inverse method for variably saturated flow in the vadose zone. Water Resources Research, 1996, 32(9) 2757-2766.
33. 33. Zhang, J. & Yeh, T.-C.J. An iterative geostatistical inverse method for steady-flow in the vadose zone. Water Resources Research, 1997, 33(1) 63-71.
34. 34. Yeh, T.-C.J., Jin, M. & Hanna, S. An iterative stochastic inverse method for groundwater flow. Water Resources Research, 1996, 32(1) 85-92.