3D inverse modelling of groundwater flow at a fractured site using a stochastic continuum model with multiple statistical populations

Stochastic Environmental Research and Risk Assessment

Volumn 16, Issue 2, 2002, Pages 155-174

  Hendricks Franssen, H J W M ^a   Gomez Hernandez J J ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044533855     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-002-0091-7     Document Type: Article

References (23)

1. Capilla JE, Gómez-Hernández JJ, Sahuquillo A (1997) Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 2. Demonstration on a synthetic aquifer. J. Hydrol., 1-4(203): 175-188
2. Capilla JE, Gómez-Hernández JJ, Sahuquillo A (1998) Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 3. Application to the Culebra formation at the Waste Isolation Pilot Plant (WIPP), New Mexico, USA. J. Hydrol., 3-4(207): 254-269
3. Carrera J, Neuman SP (1986a) Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information. Water Resour. Res., 22(2): 199-210
4. Carrera J, Neuman SP (1986b) Estimation of aquifer parameters under transient and steady state conditions: 2. Uniqueness, stability, and solution algorithms. Water Resour. Res., 22(2): 211-227
5. Dagan G (1985) Stochastic modelling of groundwater flow by unconditional and conditional probabilities: the inverse problem. Water Resour. Res., 21(1): 65-72
6. Gómez-Hernández JJ, Hendricks Franssen HJWM, Cassiraga EF (2001) Stochastic analysis of flow response in a three-dimensional fractured block. Int. J. Rock Mech., 38: 31-44
7. Gómez-Hernández JJ, Journel AG (1993) Joint simulation of MultiGaussian random variables. In Soares A (ed.) Geostatistics Tróia'92, vol. 1, pp. 85-94, Kluwer, Dordrecht
8. Gómez-Hernández JJ, Sahuquillo A, Capilla JE (1997) Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 1. Theory J. Hydrol., 1-4(203): 162-174
9. Gómez-Hernández JJ, Srivastava RM (1990) ISIM3D: an ANSI-C three dimensional multiple indicator conditional simulation program. Comp. Geosci., 16(4): 395-440
10. Gutjahr A, Bullard B, Hatch C, Hughson L (1994) Joint conditional simulations and the spectral approach for flow modelling. Stochas. Hydrol. Hydrau., 8(1): 79-108
11. Gutjahr A, Wilson J (1989) Co-kriging for stochastic flow models. Transport in Porous Media, 4: 585-598
12. Hanna S, Yeh TCJ (1998) Estimation of co-conditional moments of transmissivity, hydraulic head and velocity fields. Adv. Water Resour. Res., 22(1): 87-95
13. Hendricks Franssen HJWM (2001) Inverse stochastic modelling of groundwater flow and mass transport. PhD thesis, Technical University of Valencia, Valencia
14. Hendricks Franssen HJWM, Cassiraga EF, Gómez-Hernández JJ, Sahuquillo A, Capilla JE (1999b) Inverse modeling of groundwater flow in a 3D fractured media. In Gómez-Hernández JJ, Soares A, Froidevaux R (eds.) GeoENV II - Geostatistics for Environmental Applications, pp. 283-294, Kluwer, Dordrecht
15. Hendricks Franssen HJWM, Gómez-Hernández JJ, Capilla JE, Sahuquillo A (1999a) Joint simulation of transmissivity and storativity fields conditional to steady-state and transient hydraulic head data. Adv. Water Resour. Res., 23: 1-13
16. Hoeksema RJ, Kitanidis PK (1984) An application of the geostatistical approach to the inverse problem in two-dimensional modeling. Water Resour. Res., 20(7): 1003-1020
17. Hu LY (2000) Gradual deformation and iterative calibration of Gaussian-related stochastic models. Mathe. Geol., 32(1): 87-108
18. Kitanidis PK, Vomvoris EG (1983) A geostatistical approach to the inverse problem in groundwater modelling (steady state) and one-dimensional simulations. Water Resour. Res., 19(3): 677-690
19. Oliver DS, Cunha LB, Reynolds AC (1997) Markov Chain Monte Carlo methods for conditioning a permeability field to pressure data. Mathe. Geol., 29(1): 61-91
20. RamaRao BS, LaVenue AM, de Marsily G, Marietta MG (1995) Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. 1. Theory and computational experiments. Water Resour. Res., 31(3): 475-493
21. Rubin Y, Dagan G (1987a) Stochastic identification of transmissivity and effective recharge in steady groundwater flow. 1. Theory Water Resour. Res., 23(7): 1185-1192
22. Rubin Y, Dagan G (1987b) Stochastic identification of transmissivity and effective recharge in steady groundwater flow. 2. Case study. Water Resour. Res., 23(7): 1193-1200
23. Sahuquillo A, Capilla JE, Gómez-Hernández JJ, Andreu J (1992) Conditional simulation of transmissivity fields honouring piezometric data. In Blain WR, Cabrera E (eds.) Hydraulic Engineering Software IV, Fluid Flow Modeling. Kluwer, Dordrecht