메뉴 건너뛰기




Volumn 407, Issue 1-4, 2011, Pages 184-195

Efficient approximate spectral method to delineate stochastic well capture zones in nonstationary groundwater flow systems

Author keywords

Flow uncertainty; Monte Carlo simulation; Particle tracking; Small scale variability; Well capture zones

Indexed keywords

BOUNDED FLOW; CAPTURE ZONES; COMPUTATIONALLY EFFICIENT; FLOW SYSTEMS; FLOW UNCERTAINTY; GROUNDWATER FLOW SYSTEMS; GROUNDWATER SYSTEM; MONTE CARLO SIMULATION; MULTIPLE WELLS; NON-STATIONARY FLOWS; NONSTATIONARY; NONSTATIONARY SPECTRAL METHOD; NUMERICAL SOLUTION; PARTICLE TRACKING; SIMULATION RESULT; SMALL SCALE VARIABILITY; SPECTRAL METHODS; SPECTRAL THEORY; VELOCITY UNCERTAINTY;

EID: 80052029743     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.07.025     Document Type: Article
Times cited : (7)

References (35)
  • 1
    • 0026255302 scopus 로고
    • A Monte-Carlo-based approach for determining travel time-related capture zones of wells using convex hulls as confidence-regions
    • Bair E.S., Safreed C.M., Stasny E.A. A Monte-Carlo-based approach for determining travel time-related capture zones of wells using convex hulls as confidence-regions. Ground Water 1991, 29(6):849-855.
    • (1991) Ground Water , vol.29 , Issue.6 , pp. 849-855
    • Bair, E.S.1    Safreed, C.M.2    Stasny, E.A.3
  • 2
    • 14944344639 scopus 로고    scopus 로고
    • Nonstationary stochastic analysis in well capture zone design using first-order Taylor's series approximation
    • Bakr M.I., Butler A.P. Nonstationary stochastic analysis in well capture zone design using first-order Taylor's series approximation. Water Resour. Res. 2005, 41(1).
    • (2005) Water Resour. Res. , vol.41 , Issue.1
    • Bakr, M.I.1    Butler, A.P.2
  • 4
    • 33845993046 scopus 로고    scopus 로고
    • On application of stochastic modeling of groundwater flow and transport
    • Dagan G. On application of stochastic modeling of groundwater flow and transport. Stoch. Environ. Res. Risk Assess. 2004, 18(4):266-267.
    • (2004) Stoch. Environ. Res. Risk Assess. , vol.18 , Issue.4 , pp. 266-267
    • Dagan, G.1
  • 6
    • 0142214697 scopus 로고    scopus 로고
    • Stochastic delineation of capture zones: classical versus Bayesian approach
    • Feyen L., Ribeiro P.J., De Smedt F., Diggle P.J. Stochastic delineation of capture zones: classical versus Bayesian approach. J. Hydrol. 2003, 281(4):313-324.
    • (2003) J. Hydrol. , vol.281 , Issue.4 , pp. 313-324
    • Feyen, L.1    Ribeiro, P.J.2    De Smedt, F.3    Diggle, P.J.4
  • 7
    • 0347294692 scopus 로고    scopus 로고
    • Bayesian methodology for stochastic capture zone delineation incorporating transmissivity measurements and hydraulic head observations
    • Feyen L., Ribeiro P.J., Gomez-Hernandez J.J., Beven K.J., De Smedt F. Bayesian methodology for stochastic capture zone delineation incorporating transmissivity measurements and hydraulic head observations. J. Hydrol. 2003, 271(1-4):156-170.
    • (2003) J. Hydrol. , vol.271 , Issue.1-4 , pp. 156-170
    • Feyen, L.1    Ribeiro, P.J.2    Gomez-Hernandez, J.J.3    Beven, K.J.4    De Smedt, F.5
  • 8
    • 0029674573 scopus 로고    scopus 로고
    • Probabilistic estimation of well catchments in heterogeneous aquifers
    • Franzetti S., Guadagnini A. Probabilistic estimation of well catchments in heterogeneous aquifers. J. Hydrol. 1996, 174(1-2):149-171.
    • (1996) J. Hydrol. , vol.174 , Issue.1-2 , pp. 149-171
    • Franzetti, S.1    Guadagnini, A.2
  • 10
    • 0033105707 scopus 로고    scopus 로고
    • Time-related capture zones for contaminants in randomly heterogeneous formations
    • Guadagnini A., Franzetti S. Time-related capture zones for contaminants in randomly heterogeneous formations. Ground Water 1999, 37(2):253-260.
    • (1999) Ground Water , vol.37 , Issue.2 , pp. 253-260
    • Guadagnini, A.1    Franzetti, S.2
  • 11
    • 0032826156 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 1. Theory and computational approach
    • Guadagnini A., Neuman S.P. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 1. Theory and computational approach. Water Resour. Res. 1999, 35(10):2999-3018.
    • (1999) Water Resour. Res. , vol.35 , Issue.10 , pp. 2999-3018
    • Guadagnini, A.1    Neuman, S.P.2
  • 12
    • 33646576535 scopus 로고    scopus 로고
    • Determination of stochastic well head protection zones by direct propagation of uncertainties of particle tracks
    • Kunstmann H., Kastens M. Determination of stochastic well head protection zones by direct propagation of uncertainties of particle tracks. J. Hydrol. 2006, 323(1-4):215-229.
    • (2006) J. Hydrol. , vol.323 , Issue.1-4 , pp. 215-229
    • Kunstmann, H.1    Kastens, M.2
  • 13
    • 0034700267 scopus 로고    scopus 로고
    • Computation of stochastic wellhead protection zones by combining the first-order second-moment method and Kolmogorov backward equation analysis
    • Kunstmann H., Kinzelbach W. Computation of stochastic wellhead protection zones by combining the first-order second-moment method and Kolmogorov backward equation analysis. J. Hydrol. 2000, 237(3-4):127-146.
    • (2000) J. Hydrol. , vol.237 , Issue.3-4 , pp. 127-146
    • Kunstmann, H.1    Kinzelbach, W.2
  • 14
    • 12544255949 scopus 로고    scopus 로고
    • A computationally practical approach for modeling complex mean flows in mildly heterogeneous media
    • Li S.G., Liao H.S., Ni C.F. A computationally practical approach for modeling complex mean flows in mildly heterogeneous media. Water Resour. Res. 2004, 40(12):W12405.
    • (2004) Water Resour. Res. , vol.40 , Issue.12
    • Li, S.G.1    Liao, H.S.2    Ni, C.F.3
  • 15
    • 8144224225 scopus 로고    scopus 로고
    • Stochastic modeling of complex nonstationary groundwater systems
    • Li S.G., Liao H.S., Ni C.F. Stochastic modeling of complex nonstationary groundwater systems. Adv. Water Resour. 2004, 27(11):1087-1104.
    • (2004) Adv. Water Resour. , vol.27 , Issue.11 , pp. 1087-1104
    • Li, S.G.1    Liao, H.S.2    Ni, C.F.3
  • 16
    • 0026306459 scopus 로고
    • A nonstationary spectral method for solving stochastic groundwater problems - unconditional analysis
    • Li S.G., McLaughlin D. A nonstationary spectral method for solving stochastic groundwater problems - unconditional analysis. Water Resour. Res. 1991, 27(7):1589-1605.
    • (1991) Water Resour. Res. , vol.27 , Issue.7 , pp. 1589-1605
    • Li, S.G.1    McLaughlin, D.2
  • 17
    • 0029413399 scopus 로고
    • Using the nonstationary spectral method to analyze flow through heterogeneous trending media
    • Li S.G., McLaughlin D. Using the nonstationary spectral method to analyze flow through heterogeneous trending media. Water Resour. Res. 1995, 31(3):541-551.
    • (1995) Water Resour. Res. , vol.31 , Issue.3 , pp. 541-551
    • Li, S.G.1    McLaughlin, D.2
  • 18
    • 0142230523 scopus 로고    scopus 로고
    • A computationally practical method for stochastic groundwater modeling
    • Li S.G., McLaughlin D., Liao H.S. A computationally practical method for stochastic groundwater modeling. Adv. Water Resour. 2003, 26(11):1137-1148.
    • (2003) Adv. Water Resour. , vol.26 , Issue.11 , pp. 1137-1148
    • Li, S.G.1    McLaughlin, D.2    Liao, H.S.3
  • 19
    • 17044453053 scopus 로고    scopus 로고
    • On stochastic study of well capture zones in bounded, randomly heterogeneous media
    • Lu Z.M., Zhang D.X. On stochastic study of well capture zones in bounded, randomly heterogeneous media. Water Resour. Res. 2003, 39(4).
    • (2003) Water Resour. Res. , vol.39 , Issue.4
    • Lu, Z.M.1    Zhang, D.X.2
  • 20
    • 33845743194 scopus 로고    scopus 로고
    • Conservative velocity interpolation for PDF methods
    • Meyer D.W., Jenny P. Conservative velocity interpolation for PDF methods. PAMM 2004, 4:466-467. 10.1002/pamm.200410214.
    • (2004) PAMM , vol.4 , pp. 466-467
    • Meyer, D.W.1    Jenny, P.2
  • 21
    • 0020332325 scopus 로고
    • Stochastic analysis of spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads
    • Mizell S.A., Gutjahr A.L., Gelhar L.W. Stochastic analysis of spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads. Water Resour. Res. 1982, 18(4):1053-1067.
    • (1982) Water Resour. Res. , vol.18 , Issue.4 , pp. 1053-1067
    • Mizell, S.A.1    Gutjahr, A.L.2    Gelhar, L.W.3
  • 22
    • 33750022033 scopus 로고    scopus 로고
    • Stochastic groundwater models in practice
    • Neuman S.P. Stochastic groundwater models in practice. Stoch. Environ. Res. Risk Assess. 2004, 18(4):268-270.
    • (2004) Stoch. Environ. Res. Risk Assess. , vol.18 , Issue.4 , pp. 268-270
    • Neuman, S.P.1
  • 23
    • 29944441764 scopus 로고    scopus 로고
    • Simple closed form formulas for predicting groundwater flow model uncertainty in complex, heterogeneous trending media
    • Ni C.F., Li S.G. Simple closed form formulas for predicting groundwater flow model uncertainty in complex, heterogeneous trending media. Water Resour. Res. 2005, 41(11):W11503.
    • (2005) Water Resour. Res. , vol.41 , Issue.11
    • Ni, C.F.1    Li, S.G.2
  • 24
    • 33750021412 scopus 로고    scopus 로고
    • Modeling groundwater velocity uncertainty in nonstationary composite porous media
    • Ni C.F., Li S.G. Modeling groundwater velocity uncertainty in nonstationary composite porous media. Adv. Water Resour. 2006, 29(12):1866-1875.
    • (2006) Adv. Water Resour. , vol.29 , Issue.12 , pp. 1866-1875
    • Ni, C.F.1    Li, S.G.2
  • 25
    • 74549138592 scopus 로고    scopus 로고
    • Efficient conceptual framework to quantify flow uncertainty in large-scale, highly nonstationary groundwater systems
    • Ni C.F., Li S.G., Liu C.J., Hsu S.M. Efficient conceptual framework to quantify flow uncertainty in large-scale, highly nonstationary groundwater systems. J. Hydrol. 2010, 381:297-307.
    • (2010) J. Hydrol. , vol.381 , pp. 297-307
    • Ni, C.F.1    Li, S.G.2    Liu, C.J.3    Hsu, S.M.4
  • 27
    • 0033242422 scopus 로고    scopus 로고
    • Time-related capture zones for radial flow in two dimensional randomly heterogeneous media
    • Riva M., Guadagnini A., Ballio F. Time-related capture zones for radial flow in two dimensional randomly heterogeneous media. Stoch. Environ. Res. Risk Assess. 1999, 13(3):217-230.
    • (1999) Stoch. Environ. Res. Risk Assess. , vol.13 , Issue.3 , pp. 217-230
    • Riva, M.1    Guadagnini, A.2    Ballio, F.3
  • 29
    • 4544276822 scopus 로고    scopus 로고
    • Semianalytical uncertainty estimation of well catchments: conditioning by head and transmissivity data
    • Stauffer F., Franssen H.J.H., Kinzelbach W. Semianalytical uncertainty estimation of well catchments: conditioning by head and transmissivity data. Water Resour. Res. 2004, 40(8).
    • (2004) Water Resour. Res. , vol.40 , Issue.8
    • Stauffer, F.1    Franssen, H.J.H.2    Kinzelbach, W.3
  • 30
    • 0034029682 scopus 로고    scopus 로고
    • Stochastic determination of well capture zones conditioned on regular grids of transmissivity measurements
    • van Leeuwen M., Butler A.P., te Stroet C.B.M., Tompkins J.A. Stochastic determination of well capture zones conditioned on regular grids of transmissivity measurements. Water Resour. Res. 2000, 36(4):949-957.
    • (2000) Water Resour. Res. , vol.36 , Issue.4 , pp. 949-957
    • van Leeuwen, M.1    Butler, A.P.2    te Stroet, C.B.M.3    Tompkins, J.A.4
  • 32
    • 0026223394 scopus 로고
    • Assessment of uncertainty in time-related capture zones using conditional simulation of hydraulic conductivity
    • Varljen M.D., Shafer J.M. Assessment of uncertainty in time-related capture zones using conditional simulation of hydraulic conductivity. Ground Water 1991, 29(5):737-748.
    • (1991) Ground Water , vol.29 , Issue.5 , pp. 737-748
    • Varljen, M.D.1    Shafer, J.M.2
  • 33
    • 0032078279 scopus 로고    scopus 로고
    • Determination of a well head protection zone by stochastic inverse modelling
    • Vassolo S., Kinzelbach W., Schafer W. Determination of a well head protection zone by stochastic inverse modelling. J. Hydrol. 1998, 206(3-4):268-280.
    • (1998) J. Hydrol. , vol.206 , Issue.3-4 , pp. 268-280
    • Vassolo, S.1    Kinzelbach, W.2    Schafer, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.