Hydraulic properties of a model dike from coupled Bayesian and multi-criteria hydrogeophysical inversion

Journal of Hydrology

Volumn 380, Issue 1-2, 2010, Pages 62-73

  Huisman, J A ^a   Rings, J ^a   Vrugt, J A ^b,c   Sorg, J ^a   Vereecken, H ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

ERT; Hydrogeophysics; Inversion; TDR

Indexed keywords

BAYESIAN; BAYESIAN APPROACHES; ELECTRICAL RESISTANCE TOMOGRAPHY; ELECTRICAL RESISTIVITY; EXPLICIT RECOGNITION; FIELD DATA; FINITE ELEMENT; GEOPHYSICAL DATA; GEOPHYSICAL MEASUREMENTS; HYDRAULIC PARAMETERS; HYDRAULIC PROPERTIES; HYDROGEOPHYSICAL; HYDROGEOPHYSICS; HYDROLOGICAL MODELS; HYDROLOGICAL PREDICTION; HYDRUS-2D; IN-SITU; INVERSION RESULTS; MODEL CALIBRATION; MODEL OUTPUTS; MODEL PARAMETERS; MODEL PREDICTION; MULTI-CRITERIA; MULTIPLE CRITERIA; NUMERICAL STUDIES; PARAMETER UNCERTAINTY; PARAMETERIZATIONS; PARETO FRONT; PETROPHYSICAL MODELS; POSTERIOR DISTRIBUTIONS; POSTERIOR PROBABILITY; SATURATED HYDRAULIC CONDUCTIVITY; SATURATION EXPONENT; SEARCH ALGORITHMS; SOIL HYDRAULIC PROPERTIES; SOIL WATER CONTENT; TIME DOMAIN REFLECTOMETRY; WATER TABLE DYNAMICS;

AQUIFERS; BAYESIAN NETWORKS; CALIBRATION; COUPLED CIRCUITS; ELECTRIC CONDUCTIVITY; FORECASTING; GEOPHYSICS; HYDRAULIC CONDUCTIVITY; HYDRAULIC MODELS; LEARNING ALGORITHMS; LEVEES; PARAMETERIZATION; PROBABILITY DENSITY FUNCTION; RADIATIVE TRANSFER; SOIL MOISTURE; SOIL SURVEYS; SOIL TESTING; SOLUTE TRANSPORT; TOMOGRAPHY; UNCERTAINTY ANALYSIS; UNDERWATER SOILS; WATER CONTENT;

GEOLOGIC MODELS;

BAYESIAN ANALYSIS; DATA INVERSION; DIKE; HYDRAULIC CONDUCTIVITY; HYDROLOGICAL MODELING; PARAMETERIZATION; SOIL PROPERTY; TOMOGRAPHY; WATER TABLE;

EID: 72149132049     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2009.10.023     Document Type: Article

References (50)

1. Archie G.E. The electrical resistivity log as an aid in determining some reservoir characteristics. Transactions of the American Institute of Mining, Metallurgical, and Petroleum Engineers 146 (1942) 54-62
2. Binley A., and Beven K. Vadose zone flow model uncertainty as conditioned on geophysical data. Ground Water 41 2 (2003) 119-127
3. Binley A., Cassiani G., Middleton R., and Winship P. Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging. Journal of Hydrology 267 3-4 (2002) 147-159
4. Cassiani G., and Binley A. Modeling unsaturated flow in a layered formation under quasi-steady state conditions using geophysical data constraints. Advances in Water Resources 28 5 (2005) 467-477
5. Celia M.A., Bouloutas E.T., and Zarba R.L. A general mass-conservative numerical-solution for the unsaturated flow equation. Water Resources Research 26 7 (1990) 1483-1496
6. Chen J.S., Hubbard S.S., and Rubin Y. Estimating the hydraulic conductivity at the South Oyster Site from geophysical tomographic data using Bayesian techniques based on the normal linear regression model. Water Resources Research 37 6 (2001) 1603-1613
7. Chen J.S., Hubbard S.S., Rubin Y., Murray C., Roden E., and Majer E. Geochemical characterization using geophysical data and Markov Chain Monte Carlo methods: a case study at the South Oyster bacterial transport site in Virginia. Water Resources Research 40 12 (2004) W12412
8. Clerc M., and Kennedy J. The particle swarm - explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation 6 1 (2002) 58-73
9. Day-Lewis F.D., Singha K., and Binley A.M. Applying petrophysical models to radar travel time and electrical resistivity tomograms: resolution-dependent limitations. Journal of Geophysical Research - Solid Earth 110 B8 (2005)
10. Deb K., Pratap A., Agarwal S., and Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6 2 (2002) 182-197
11. Deiana R., Cassiani G., Villa A., Bagliani A., and Bruno V. Calibration of a vadose zone model using water injection monitored by GPR and electrical resistance tomography. Vadose Zone Journal 7 1 (2008) 215-226
12. Finsterle S., and Kowalsky M.B. Joint hydrological-geophysical inversion for soil structure identification. Vadose Zone Journal 7 1 (2008) 287-293
13. Gelman A., and Rubin D.B. Inference from iterative simulation using multiple sequences. Statistical Science 7 (1992) 457-472
14. Haario H., Saksman E., and Tamminen J. An adaptive Metropolis algorithm. Bernoulli 7 2 (2001) 223-242
15. Heimovaara T.J., Huisman J.A., Vrugt J.A., and Bouten W. Obtaining the spatial distribution of water content along a TDR probe using the SCEM-UA Bayesian inverse modeling scheme. Vadose Zone Journal 3 4 (2004) 1128-1145
16. Hinnell, A.C., Ferre, T.P.A., Vrugt, J.A., Huisman, J.A., Moysey, S., Rings, J., Kowalsky, M.B., 2009. Improved extraction of hydrologic information from geophysical data through coupled hydrogeophysical inversion. Water Resources Research, in press. doi:10.1029/2008WR007060.
17. Hubbard S.S., Rubin Y., and Majer E. Spatial correlation structure estimation using geophysical and hydrogeological data. Water Resources Research 35 6 (1999) 1809-1825
18. Hubbard S.S., Chen J.S., Peterson J., Majer E.L., Williams K.H., Swift D.J., Mailloux B., and Rubin Y. Hydrogeological characterization of the South Oyster bacterial transport site using geophysical data. Water Resources Research 37 10 (2001) 2431-2456
19. Jadoon K.Z., Slob E., Vanclooster M., Vereecken H., and Lambot S. Uniqueness and stability analysis of hydrogeophysical inversion for time-lapse ground-penetrating radar estimates of shallow soil hydraulic properties. Water Resources Research 44 9 (2008)
20. Kemna, A., 2000. Tomographic Inversion of Complex Resistivity - Theory and Application. Ruhr-Universität Bochum, Bochum, 196 pp.
21. Kemna A., Vanderborght J., Kulessa B., and Vereecken H. Imaging and characterisation of subsurface solute transport using electrical resistivity tomography (ERT) and equivalent transport models. Journal of Hydrology 267 3-4 (2002) 125-146
22. Kool J.B., and Parker J.C. Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties. Water Resources Research 23 1 (1987) 105-114
23. Kowalsky M.B., Finsterle S., and Rubin Y. Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone. Advances in Water Resources 27 6 (2004) 583-599
24. Kowalsky M.B., Finsterle S., Peterson J., Hubbard S., Rubin Y., Majer E., Ward A., and Gee G. Estimation of field-scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data. Water Resources Research 41 11 (2005)
25. Lambot S., Slob E.C., Vanclooster M., and Vereecken H. Closed loop GPR data inversion for soil hydraulic and electric property determination. Geophysical Research Letters 33 21 (2006)
26. Linde N., Chen J., Kowalsky M.B., and Hubbard S. Hydrogeophysical parameter estimation approaches for field scale characterization. Applied Hydrogeophysics (2006), Kluwer
27. Loke M.H., and Barker R.D. Least-squares deconvolution of apparent resistivity. Geophysics 34 (1995) 182-187
28. Looms M.C., Binley A., Jensen K.H., Nielsen L., and Hansen T.M. Identifying unsaturated hydraulic parameters using an integrated data fusion approach on cross-borehole geophysical data. Vadose Zone Journal 7 1 (2008) 238-248
29. Moysey S., Singha K., and Knight R. A framework for inferring field-scale rack physics relationships through numerical simulation. Geophysical Research Letters 32 (2005) L08304
30. Mualem Y. New model for predicting hydraulic conductivity of unsaturated porous-media. Water Resources Research 12 3 (1976) 513-522
31. Rings, J., 2009. Monitoring the water content evolution of dikes. PhD Dissertation. Wissenschaftliche Berichte des Instituts für Meteorologie und Klimaforschung der Universität Karlsruhe (TH), vol. 44, University of Karlsruhe, Germany.
32. Rings J., Scheuermann A., Preko K., and Hauck C. Soil water content monitoring on a dike model using electrical resistivity tomography. Near Surface Geophysics 6 2 (2008) 123-132
33. Rucker D.F., and Ferre T.P.A. Parameter estimation for soil hydraulic properties using zero-offset borehole radar: analytical method. Soil Science Society of America Journal 68 5 (2004) 1560-1567
34. Scheuermann, A., 2005. Instationäre Durchfeuchtung quasi-homogener Erddeiche. PhD Dissertation. Institute for Soil Mechanics and Rock Mechanics, University of Karlsruhe, Germany.
35. Scheuermann A., Huebner C., Schlaeger S., Wagner N., Becker R., and Bieberstein A. Spatial time domain reflectometry and its application fort he measurement of water content distributions along flat ribbon cables in a full-scale levee model. Water Resources Research 45 (2009) W00D24
36. Schlaeger S. A fast TDR-inversion technique for the reconstruction of spatial soil moisture content. Hydrology and Earth System Sciences 9 (2005) 481-492
37. Simunek J., van Genuchten M.T., and Sejna M. Development and applications of the HYDRUS and STANMOD software packages and related codes. Vadose Zone Journal 7 2 (2008) 587-600
38. Storn R., and Price K. Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11 4 (1997) 341-359
39. Ter Braak C.J.F. A Markov Chain Monte Carlo version of the genetic algorithm differential evolution: easy Bayesian computing for real parameter spaces. Statistics and Computing 16 3 (2006) 239-249
40. Ter Braak C.J.F., and Vrugt J.A. Differential evolution Markov chain with snooker updater and fewer chains. Statistics and Computing 18 4 (2008) 435-446
41. Ulrich C., and Slater L.D. Induced polarization measurements on unsaturated, unconsolidated sands. Geophysics 69 3 (2004) 762-771
42. van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 44 5 (1980) 892-898
43. Vrugt J.A., and Robinson B.A. Improved evolutionary optimization from genetically adaptive multimethod search. Proceedings of the National Academy of Sciences of the United States of America 104 3 (2007) 708-711
44. Vrugt J.A., Gupta H.V., Bouten W., and Sorooshian S. A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resources Research 39 8 (2003) 1201
45. Vrugt J.A., Nualláin B.O., Robinson B.A., Bouten W., Dekker S.C., and Sloot P.M.A. Application of parallel computing to stochastic parameter estimation in environmental models. Computers and Geosciences 32 8 (2006) 1139-1155
46. Vrugt J.A., ter Braak C.J.F., Clark M.P., Hyman J.M., and Robinson B.A. Treatment of input uncertainty in hydrologic modeling: doing hydrology backward with Markov chain Monte Carlo simulation. Water Resources Research 44 (2008) W00B09
47. Vrugt J.A., Robinson B.A., and Hyman J.M. Self-adaptive multimethod search for global optimization in real parameter spaces. IEEE Transactions on Evolutionary Computation 13 2 (2009) 243-259 10.1109/TEVC.2008.924428
48. Vrugt J.A., ter Braak C.J.F., Diks C.G.H., Higdon D., Robinson B.A., and Hyman J.A. Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling. International Journal of Nonlinear Sciences and Numerical Simulation 10 3 (2009) 273-290
49. Vrugt J.A., ter Braak C.J.F., Gupta H.V., and Robinson B.A. Equifinality of formal (DREAM) and informal (GLUE) Bayesian approaches in hydrologic modeling?. Stochastic Environmental Research and Risk Assessment 23 7 (2009) 1011-1026 10.1007/s00477-008-0274-y
50. Zitzler E., and Thiele L. Multiobjective evolutionary algorithms: A comparative case study and the Strength Pareto approach. IEEE Transactions on Evolutionary Computation 3 4 (1999) 257-271