Simultaneous identification of parameter, initial condition, and boundary condition in groundwater modelling

Hydrological Processes

Volumn 23, Issue 16, 2009, Pages 2358-2367

  Liu, Hung Jen ^a   Hsu, Nie Sheng ^a   Lee, Tim Hau ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Boundary condition; Groundwater flow; Initial condition; Inverse modelling; Parameter identifiability

Indexed keywords

ADJOINTS; AQUIFER PARAMETERS; CONFINED AQUIFERS; CORRELATION ANALYSIS; GRADIENT SEARCH METHOD; GROUNDWATER FLOW MODEL; GROUNDWATER MODELLING; HIGHLY-CORRELATED; INITIAL CONDITION; INITIAL CONDITIONS; INVERSE METHODS; INVERSE MODELLING; LEAST SQUARE ERRORS; OPTIMIZATION PROCEDURES; PARAMETER IDENTIFIABILITY; PUMPING WELL; SIMULTANEOUS IDENTIFICATION; STORAGE COEFFICIENT; TRANSMISSIVITY; TWO-DIMENSIONAL;

AQUIFERS; ATMOSPHERIC AEROSOLS; BOUNDARY CONDITIONS; GROUNDWATER FLOW; GROUNDWATER RESOURCES; HYDROGEOLOGY; INVERSE PROBLEMS; TIME SERIES;

PARAMETER ESTIMATION;

ALGORITHM; BOUNDARY CONDITION; CONFINED AQUIFER; ESTIMATION METHOD; GROUNDWATER FLOW; INVERSE ANALYSIS; OPTIMIZATION; TRANSMISSIVITY;

EID: 68749084946     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.7344     Document Type: Article

References (22)

1. Bear J. 1979. Hydraulics of Groundwater. McGraw-Hill Inc.: New York.
2. Bonilla FA, Cushman JH. 2000. Role of boundary conditions in convergence and nonlocality of solutions to stochastic flow problems in bounded domains. Water resources research 36: 981-997.
3. Brochu Y, Marcotte D. 2003. A simple approach to account for radial flow and boundary conditions when kriging hydraulic head fields for confined aquifers. Mathematical Geology 35: 111-139.
4. Carrera J, Neuman SP. 1986. Estimation of aquifer parameters under transient and steady state conditions: 1. Maximun likelihood method incorporating prior information. Water resources research 22: 199-210.
5. Carrera J. 1987. State of the art of the inverse problem applied to the flow and solute transport equations. In Groundwater Flow and Quality Modeling, NATO ASI Ser.. D. Reidel Pub. Co.: Holland; 549-585.
6. Carrera J, Álcolea A, Medina A, Hidalgo J, Slooten LJ. 2005. Inverse problem in hydrogeology. Hydrogeology Journal 13: 206-222.
7. Chen Y, Zhang D. 2006. Data assimilation for transient flow in geologic formations via ensemble Kalman filter. Adv. Water Resour. 29: 1107-1122.
8. Cheng JM, Yeh WW-G. 1992. A proposed quasi-newton method for parameter-identification in a flow and transport-system. Advances in Water Resources 15: 239-249.
9. Cirpka OA, Kitanidis PK. 2000. Sensitivity of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data. Advances in Water Resources 24: 89-103.
10. Gomez-Hernanez JJ, Sahuquillo A, Capilla JE. 1997. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data - I. Theory. Journal of Hydrology 203: 162-174.
11. Hendricks Franssen HJ, Gomez-Hernanez JJ. 2002. 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 16: 155-174.
12. Kalnay E. 2003. Atmospheric modeling, data assimilation, and predictability. Cambridge University Press: New York.
13. LaVenue AM, Pickens JF. 1992. Application of a coupled adjoint sensitivity and kriging approach to calibrate a groundwater-flow model. Water Resources Research 28: 1543-1569.
14. McLaughlin D, Townley LR. 1996. A reassessment of the groundwater inverse problem. Water Resources Research 32: 1131-1161.
15. Rubin Y, Dagan G. 1988. Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers 1. Constant head boundary. Water Resources Research 24: 1689-1697.
16. Sun N-Z, Yeh WW-G. 1990. Coupled inverse problems in groundwater modeling, 1. Sensitivity analysis and parameter identification. Water Resources Research 26: 2507-2525.
17. Sun N-Z. 1994. Inverse Problems in Groundwater Modeling. Kluwer Acad.: Netherlands.
18. Sun N-Z, Yeh WW-G. 2007. Development of objective-oriented groundwater models: 1. Robust parameter identification. Water Resources Research 43: W02420.
19. Yeh T-CJ, Mock PA. 1996. A structured approach for calibrating steady-state ground-water flow models. Ground Water 34: 444-450.
20. Yeh T-CJ, Lee GH, Hsu K-C, Tan Y-C. 2007. Fusion of active and passive hydrologic and geophysical tomographic surveys: The future of subsurface characterization. In Data Integration in Subsurface Hydrology, Hyndman DW, Day-Lewis FD, Singha K (eds). AGU Monograph: Washington, DC.
21. Yeh WW-G. 1986. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Water Resources Research 22: 95-108.
22. Yeh WW-G, Sun N-Z. 1990. Variational sensitivity analysis, data requirement, and parameter identification in a leaky aquifer system. Water Resources Research 26: 1927-1938.