Efficient conceptual framework to quantify flow uncertainty in large-scale, highly nonstationary groundwater systems

Journal of Hydrology

Volumn 381, Issue 3-4, 2010, Pages 297-307

  Ni, Chuen Fa ^a   Li, Shu Guang ^b   Liu, Chien Jung ^c   Hsu, Shaohua Marko ^c  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b Michigan State University   (United States)

^c FENG CHIA UNIVERSITY   (Taiwan)

Author keywords

Flow uncertainty; Monte Carlo simulation; Nonstationary flow; Perturbation based numerical method; Spectral method

Indexed keywords

FLOW UNCERTAINTY; MONTE CARLO SIMULATION; NON-STATIONARY FLOWS; NONSTATIONARY FLOW; SPECTRAL METHODS;

COMPUTER SIMULATION; DIGITAL STORAGE; GROUNDWATER; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; HYDROGEOLOGY; MONTE CARLO METHODS; NUMBER THEORY; NUMERICAL METHODS; SPECTROSCOPY; UNCERTAINTY ANALYSIS;

MATHEMATICAL MODELS;

FLOW MODELING; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; MONTE CARLO ANALYSIS; NUMERICAL MODEL;

EID: 74549138592     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2009.12.002     Document Type: Article

References (42)

1. Dagan G. Flow and Transport in Porous Formations (1989), Springer-Verlag, New York
2. Dagan G. On application of stochastic modeling of groundwater flow and transport. Stochastic Environmental Research and Risk Assessment 18 4 (2004) 266-267
3. Dagan G., and Neuman S.P. Subsurface flow and transport: A Stochastic Approach. International Hydrology Series. Unesco: IAHS/AISH (1997), Cambridge University Press, New York
4. de Marsily G., Delay F., Goncalves J., Renard P., Teles V., and Violette S. Dealing with spatial heterogeneity. Hydrogeology Journal 13 1 (2005) 161-183
5. Deutsch C.V., and Journel A.G. GSLIB Geostatistical Software Library and User's Guide (1997), Oxford University Press, New York
6. Gelhar L.W. Stochastic Subsurface Hydrology (1993), Prentice-Hall, Englewood Cliffs, NJ
7. Graham W., and McLaughlin D. Stochastic analysis of nonstationary subsurface solute transport 1. Unconditional moments. Water Resources Research 25 2 (1989) 215-232
8. Graham W., and McLaughlin D. Stochastic analysis of nonstationary subsurface solute transport 2. Conditional moments. Water Resources Research 25 11 (1989) 2331-2355
9. Guadagnini A., and Neuman S.P. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains 1. Theory and computational approach. Water Resources Research 35 10 (1999) 2999-3018
10. Guadagnini A., and Neuman S.P. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains 2. Computational examples. Water Resources Research 35 10 (1999) 3019-3039
11. Guadagnini A., Riva M., and Neuman S.P. Three-dimensional steady state flow to a well in a randomly heterogeneous bounded aquifer. Water Resources Research 39 3 (2003) 1048 10.1029/2002WR001443
12. Li S.G., and Liu Q. A real-time, interactive steering environment for integrated ground water modeling. Ground Water 44 5 (2006) 758-763
13. Li S.G., and Liu Q. Interactive Ground Water (IGW). Environmental Modelling and Software 21 3 (2006) 417-418
14. Li S.G., and McLaughlin D. A nonstationary spectral method for solving stochastic groundwater problems - unconditional analysis. Water Resources Research 27 7 (1991) 1589-1605
15. Li S.G., and McLaughlin D. Using the nonstationary spectral method to analyze flow through heterogeneous trending media. Water Resources Research 31 3 (1995) 541-551
16. Li S.G., McLaughlin D., and Liao H.S. A computationally practical method for stochastic groundwater modeling. Advances in Water Resources 26 11 (2003) 1137-1148
17. Li S.G., Liao H.S., and Ni C.F. A computationally practical approach for modeling complex mean flows in mildly heterogeneous media. Water Resources Research 40 12 (2004) W12405 10.1029/2004WR003469
18. Li S.G., Liao H.S., and Ni C.F. Stochastic modeling of complex nonstationary groundwater systems. Advances in Water Resources 27 11 (2004) 1087-1104
19. Li S.G., Liu Q., and Afshari S. An object-oriented hierarchical patch dynamics paradigm (HPDP) for modeling complex groundwater systems across multiple-scales. Environmental Modelling and Software 21 5 (2006) 744-749
20. McLaughlin D., and Townley L.R. A reassessment of the groundwater inverse problem. Water Resources Research 32 5 (1996) 1131-1161
21. McLaughlin D., Zhou Y.H., Entekhabi D., and Chatdarong V. Computational issues for large-scale land surface data assimilation problems. Journal of Hydrometeology 7 3 (2006) 494-510
22. Mehl S., and Hill M.C. Development and evaluation of a local grid refinement method for block-centered finite-difference groundwater models using shared nodes. Advances in Water Resources 25 5 (2002) 497-511
23. Miller C.T., and Gray W.G. Hydrogeological research, education, and practice. A path to future contributions. Journal of Hydrologic Engineering 13 1 (2008) 7-12
24. Miller C.T., Abhishek C., and Farthing M.W. A spatially and temporally adaptive solution of Richards' equation. Advances in Water Resources 29 4 (2006) 525-545
25. Mizell S.A., Gutjahr A.L., and Gelhar L.W. Stochastic analysis of spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads. Water Resources Research 18 4 (1982) 1053-1067
26. Neuman S.P. Stochastic groundwater models in practice. Stochastic Environmental Research and Risk Assessment 18 4 (2004) 268-270
27. Neuman S.P. Trends, prospects and challenges in quantifying flow and transport through fractured rocks. Hydrogeology Journal 13 1 (2005) 124-147
28. Ni C.F., and Li S.G. Simple closed form formulas for predicting groundwater flow model uncertainty in complex, heterogeneous trending media. Water Resources Research 41 11 (2005) W11503 10.1029/2005WR004143
29. Ni C.F., and Li S.G. Modeling groundwater velocity uncertainty in nonstationary composite porous media. Advances in Water Resources 29 12 (2006) 1866-1875
30. Papoulis A. Probability Random Variables, and Stochastic Processes (1984), McGraw-Hill, New York, NJ
31. Priestley M.B. Spectral Analysis and Time Series (1981), Academic Press, London
32. Renard P. Stochastic hydrogeology: what professionals really need?. Ground Water 45 5 (2007) 531-541
33. Rubin Y. Applied Stochastic Hydrogeology (2003), Oxford University Press, New York
34. Smith L., and Freeze R.A. Stochastic analysis of steady state groundwater flow in a bounded domain, 2, two-dimensional simulations. Water Resources Research 15 6 (1979) 1543-1559
35. Székely F. Windowed spatial zooming in finite-difference ground water flow models. Ground water 36 5 (1998) 718-721
36. Székely F. Three-dimensional mesh resolution control in finite difference groundwater flow models through boxed spatial zooming. Journal of Hydrology 351 3-4 (2008) 261-267
37. Winter C.L., and Tartakovsky D.M. Groundwater flow in heterogeneous composite aquifers. Water Resources Research 38 8 (2002) 1148 10.1029/2001WR000450
38. Ye M., Neuman S.P., Guadagnini A., and Tartakovsky D.M. Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly heterogeneous porous media. Water Resources Research 40 (2004) W05104 10.1029/2003WR002099
39. Zhang D. Nonstationary stochastic analysis of transient unsaturated flow in randomly heterogeneous media. Water Resources Research 35 4 (1999) 1127-1141
40. Zhang D. Stochastic Methods for Flow in Porous Media: Coping with Uncertainties (2002), Academic Press, London
41. Zhang D., and Lu Z. An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loeve and polynomial expansions. Journal of Computational Physics 194 2 (2004) 773-794
42. Zhang Y.K., and Zhang D. Forum: the state of stochastic hydrology. Stochastic Environmental Research and Risk Assessment 18 4 (2004) 265