Uncertainty in dual permeability model parameters for structured soils

Water Resources Research

Volumn 48, Issue 1, 2012, Pages

  Arora, B ^a   Mohanty, B P ^a   McGuire, J T ^b  

^a Texas A M University   (United States)

^b UNIVERSITY OF ST THOMAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHOICE OF PARAMETERS; CONTAMINANT TRANSPORT; COVARIANCE STRUCTURES; DRAINAGE EXPERIMENTS; DUAL PERMEABILITY MODEL; DUAL-PERMEABILITY MODELS; EQUIFINALITY; EXPERIMENTAL DATA; FAST CONVERGENCE; FLOW EXPERIMENTS; HIGH-DENSITY; HYDRAULIC PROPERTIES; INTERFACE REGIONS; MACRO PORES; MACROPORE DISTRIBUTION; MARKOV CHAIN MONTE CARLO; MATRIX; MATRIX DOMAINS; PARAMETER CORRELATION; SAMPLING ALGORITHM; SATURATED HYDRAULIC CONDUCTIVITY; SOIL COLUMN; SOIL HYDRAULIC PARAMETERS; SOIL HYDRAULICS; SOLUTE TRANSPORT PARAMETERS; STRUCTURED SOIL; UNCERTAINTY EVALUATION;

ALGORITHMS; EXPERIMENTS; GEOLOGIC MODELS; HYDRAULIC CONDUCTIVITY; MARKOV PROCESSES; PARAMETER ESTIMATION; SOILS; SOLUTE TRANSPORT;

UNCERTAINTY ANALYSIS;

ALGORITHM; COVARIANCE ANALYSIS; HYDRAULIC CONDUCTIVITY; MACROPORE; PERMEABILITY; POLLUTANT TRANSPORT; SOIL COLUMN; SOIL POLLUTION; SOIL STRUCTURE; SOLUTE TRANSPORT; TORTUOSITY; UNCERTAINTY ANALYSIS;

EID: 84856237726     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR010500     Document Type: Article

References (58)

1. Arora, B., B. P. Mohanty, and J. T. McGuire (2011), Inverse estimation of parameters for multi-domain flow models in soil columns with different macropore densities, Water Resour. Res., 47, W04512, doi:10.1029/2010WR009451.
2. Atchadé, Y. F., and J. S. Rosenthal (2005), On adaptive Markov chain Monte Carlo algorithms, Bernoulli, 11(5), 815-828. (Pubitemid 44966970)
3. Böhlke, J.-K. (2002), Groundwater recharge and agricultural contamination, Hydrogeol. J., 10, 153-179. (Pubitemid 36238529)
4. Carrera, J., and S. P. Neumann (1986), Estimation of aquifer parameters under transient and steady-state conditions: 2. Uniqueness, stability and solution algorithms, Water Resour. Res., 22, 211-227. (Pubitemid 16477840)
5. Castiglione, P., B. P. Mohanty, P. J. Shouse, J. Simunek, M. T. Van Genuchten, and A. Santini (2003), Lateral water diffusion in an artificial macroporous system: Modeling and experimental evidence, Vadose Zone J., 2, 212-221.
6. Clausnitzer, V., and J. W. Hopmans (1995), Non-linear parameter estimation: LMOPT, General-purpose optimization code based on the Leven-berg-Marquardt algorithm, paper presented at Land, Air and Water Resour. Pap. 100032, University of Calif., Davis.
7. Coppola, A., A. Basile, A. Comegna, and N. Lamaddalena (2009), Monte Carlo analysis of field water flow comparing uni-and bimodal effective hydraulic parameters for structured soil, J. Contam. Hydrol., 104(1-4), 153-165.
8. Cowles, M. K., and B. P. Carlin (1996), Markov Chain Monte Carlo convergence diagnostics: A comparative review, J. Am. Statistics Assoc., 91, 883-904.
9. de Rooij, G. H., R. T. A. Kasteel, A. Papritz, and H. Flühler (2004), Joint distributions of the unsaturated soil hydraulic parameters and their effect on other variates, Vadose Zone J., 3, 947-955.
10. Dubus, I. G., S. Beulke, and C. D. Brown (2002), Calibration of pesticide leaching models: Critical review and guidance for reporting, Pest. Manage. Sci., 58, 745-758. (Pubitemid 34803575)
11. Durner, W., E. B. Schultze, and T. Zurmühl (1999), State-of-the-art in inverse modeling of inflow/outflow experiments, in Characterization and Measurement of the Hydraulic Properties of Unsaturated Porous Media, Proceedings of international workshop, Riverside, Calif., 22-24, edited by M. Th. van Genuchten et al., pp. 661-681, U.S. Salinity Laboratory, Riverside, CA.
12. Escobar, M. D., and M. West (1995), Bayesian density estimation and inference using mixtures, J. Am. Statistics Assoc., 90, 577-588.
13. Flores, A. N., D. Entekhabi, and R. L. Bras (2010), Reproducibility of soil moisture ensembles when representing soil parameter uncertainty using a Latin hypercube-based approach with correlation control, Water Resour. Res., 46, W04506, doi:10.1029/2009WR008155.
14. Flury, M., H. Fluhler, W. A. Jury, and J. Leuenberger (1994), Susceptibility of soils to preferential flow of water: A field study, Water Resour. Res., 30(7), 1945-1954. (Pubitemid 286131)
15. Gelman, A., J. B. Carlin, H. S. Stern, and D. B. Rubin (1995), Bayesian Data Analysis, 526 pp., Chapman and Hall, London, U. K.
16. Gerke, H. H., and M. T. van Genuchten (1993a), A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media, Water Resour. Res., 29, 305-319. (Pubitemid 23381675)
17. Gerke, H. H., and M. Th. van Genuchten (1993b), Evaluation of a first-order water transfer term for variably saturated dual-porosity models, Water Resour. Res., 29, 1225-1238. (Pubitemid 23383957)
18. Geweke, J. (1992), Evaluating the accuracy of sampling-based approaches to thecalculation of posterior moments, in Bayesian Statistics 4, edited by J. M. Bernado et al., pp. 169-193, Oxford Press, Oxford, U. K.
19. Ginn, T. R., and J. H. Cushman (1990), Inverse methods for subsurface flow: A critical review of stochastic techniques, Stochastic Hydrol. Hydraul., 4, 1-26.
20. Gwo, J. P., P. M. Jardine, G. V. Wilson, and G. T. Yeh (1995), A multiple-pore-region concept to modeling mass transfer in subsurface media, J. Hydrol, 164, 217-237.
21. Harrio, H., E. Saksman, and J. Tamminen (2001), An adaptive Metropolis algorithm, Bernoulli 7(2), 223-242. (Pubitemid 33793059)
22. Hastings, W. K. (1970), Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57, 97-109.
23. Jamieson, R. C, R. J. Gordon, K. E. Sharples, G. W. Stratton, and A. Madani (2002), Movement and persistence of fecal bacteria in agricultural soils and subsurface drainage water-A review, Can. Biosys. Eng., 44, 1.1-1.9.
24. Jana, R. B., and B. P. Mohanty (2011), Enhancing PTFs with remotely sensed data for multi-scale soil water retention estimation, J. Hydrol., 399(3-4), 201-211.
25. Jarvis, N. J. (1994), The MACRO Model (version 3.1): Technical description and sample simulations, Rep. and Dissertations 19, Dept. of Soil Sci., Swedish Univ. of Agric. Sci. Uppsala, Sweden, p. 51.
26. Jarvis, N., M. Larsbo, S. Roulier, A. Lindahl, and L. Persson (2007), The role of soil properties in regulating non-equilibrium macropore flow and solute transport in agricultural topsoils, Eur. J. Soil Sci., 58(1), 282-292. (Pubitemid 46208879)
27. Kladivko, E. J., L. C. Brown, and J. L. Baker (2001), Pesticide transport to subsurface tile drains in humid regions of North America, Crit. Rev. Env. Sci. Tec, 31, 1-62. (Pubitemid 32120716)
28. Kodesova, R., J. Simunek, A. Nikodem, and V. Jirku (2010), Estimation of the dual-permeability model parameters using tension disk infiltrometer and Guelph permeameter, VadoseZoneJ., 9(2), 213-225.
29. Köhne, J. M., and B. P. Mohanty (2005), Water flow processes in a soil column with a cylindrical macropore: Experiment and hierarchical modeling, Water Resour. Res., 41, W03010, doi: 10.1029/2004WR003303. (Pubitemid 40589252)
30. Köhne, J. M., B. P. Mohanty, J. Simunek, and H. H. Gerke (2004), Numerical evaluation of a second-order water transfer term for variably saturated dual-permeability models, Water Resour. Res., 40, W07409, doi:10.1029/2004WR003285.
31. Köhne, J. M., S. Köhne, and J. Simunek (2009), A review of model applications for structured soils: a) Water flow and solute transport, J. Contam. Hydrol, 104, 4-35, doi: 10.1016/j.jconhyd.2008.10.002.
32. Kool, J. B., and J. C. Parker (1988), Analysis of the inverse problem for transient unsaturated flow, Water Resour. Res., 24, 817-830. (Pubitemid 19297430)
33. Larsbo, M., S. Roulier, F. Stenemo, R. Kasteel, and N. Jarvis (2005), An improved dual-permeability model of water flow and solute transport in the vadose zone, VadoseZoneJ., 4, 398-406.
34. Mallants, D., B. P. Mohanty, A. Vervoort, and J. Feyen (1997), Spatial analysis of saturated hydraulic conductivity in a soil with macropores, Soil Tec, 10(2), 115-131.
35. Marshall, L., D. Nott, and A. Sharma (2004), A comparative study of Markov chain Monte Carlo methods for conceptual rainfall-runoff modeling, Water Resour. Res., 40, W02501, doi: 10.1029/2003WR002378.
36. Mualem, Y. (1976), A new model for predicting the hydraulic conductivity of unsaturated soils, Water Resour. Res., 12, 513-522.
37. Metropolis, N., A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller (1953), Equations of state calculations by fast computing machines, J. Chem.Phys., 21, 1087-1091.
38. Mohanty, B. P., R. S. Bowman, J. M. H. Hendrickx, and M. Th. van Genuchten (1997), New piecewise-continuous hydraulic functions for modeling preferential flow in an intermittent-flood-irrigated field, Water Resour. Res., 33(9), 2049-2063. (Pubitemid 27378354)
39. Mohanty, B. P., R. S. Bowman, J. M. H. Hendrickx, J. Simunek, and M. Th. van Genuchten (1998), Preferential transport of nitrate to a tile drain in an intermittent-flood-irrigated field: Model development and experimental evaluation, Water Resour. Res., 34(5), 1061-1076. (Pubitemid 28219538)
40. National Research Council (1994), Ground water recharge using waters of impaired quality, 283 pp., Natl. Academy Press, Washington, D. C.
41. Nemes, A., M. G. Schaap, and F. J. Leij (1999), The UNSODA unsatu-rated soil hydraulic database, version 2.0, U. S. Salinity Laboratory, U. S. Dept. of Agriculture, Agricultural Research Service, Riverside, Calif.
42. Nemes, A., M. G. Schaap, F. J. Leij, and J. H. M. Wosten (2001), Description of the unsaturated soil hydraulic database UNSODA version 2.0, J. Hydrol., 251(3-4), 151-162. (Pubitemid 32792749)
43. Peters, G. W., B. Kannan, B. Lasscock, and C. Mellen (2009), Model selection and adaptive Markov chain Monte Carlo for Bayesian cointegrated VAR model, paper presented at 15th Interntl. Conf. on Computing in Economics and Finance, Sydney, Australia.
44. Pollacco, J. A. P., J. M. S. Ugalde, R. Angulo-Jaramillo, I. Braud, and B. Saugier (2008), A linking test to reduce the number of hydraulic parameters necessary to simulate groundwater recharge in unsaturated soils, Adv. Water Resour., 31(2), 355-369. (Pubitemid 350258317)
45. Raftery, A. E., and S. Lewis (1992), "How Many Iterations in the Gibbs Sampler?", in Bayesian Statistics 4, edited by J. M. Bernardo et al., pp. 763-773, Oxford Univ. Press, Oxford, U.K.
46. Reis, D. S., and J. R. Stedinger (2005), Bayesian MCMC flood frequency analysis with historical information, J. Hydrol., 313, 97-116. (Pubitemid 41472024)
47. Roulier, S., and N. Jarvis (2003), Analysis of inverse procedures for estimating parameters controlling macropore flow and solute transport in the dual-permeability model MACRO, Vadose Zone J., 2, 349-357.
48. Scharnagl, B., J. A. Vrugt, H. Vereecken, and M. Herbst (2011), Inverse modelling of in situ soil water dynamics: Investigating the effect of different prior distributions of the soil hydraulic parameters, Hydrol. Earth Syst. Sci., 8(1), 2019-2063.
49. Schwartz, R. C., A. S. R. Juo, and K. J. McInnes (2000), Estimating parameters for a dual-porosity model to describe non-equilibrium, reactive transport in a fine textured soil, J. Hydrol., 229, 149-167. (Pubitemid 30218146)
50. Simùnek, J., and M. T. van Genuchten (2008), Modeling nonequilibrium flow and transport processes using HYDRUS, Vadose Zone J., 7(2), 782-797. (Pubitemid 351811097)
51. Simùnek, J., O. Wendroth, N. Wypler, and M. Th. van Genuchten (2001), Non-equilibrium water flow characterized by means of upward infiltration experiments, Eur. J. Soil Sci., 52(1), 13-24. (Pubitemid 32235540)
52. Simùnek, J., N. J. Jarvis, M. T. van Genuchten, and A. Gärdenäs (2003), Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone, J. Hydrol, 272, 14-35, doi:10.1016/S0022-1694(02)00252-4. (Pubitemid 36224735)
53. van Genuchten, M. T. (1980), A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898.
54. van Genuchten, M. T., and P. J. Wierenga (1976), Mass transfer studies in sorbing porous media, I, analytical solutions, Soil Sci. Soc. Am. J., 40, 473-481.
55. Vrugt, J. A., W. Bouten, H. V. Gupta, and J. W. Hopmans (2003), Toward improved identifiability of soil hydraulic parameters: On the selection of a suitable parametric model, Vadose Zone J., 2, 98-113.
56. Vrugt, J. A., P. H. Stauffer, Th. Wöhling, B. A. Robinson, and V. V. Vesselinov (2008), Inverse modeling of subsurface flow and transport properties: A review with new developments, Vadose Zone J., 7, 843-864.
57. Wu, W., J. S. Clark, and J. M. Vose (2010), Assimilating multi-source uncertainties of a parsimonious conceptual hydrological model using hierarchical Bayesian modeling, J. Hydrol, 394(3-4), 436-446.
58. Zachmann, D. W., P. C. Duchateau, and A. Klute (1981), The calibration of the Richards' flow equation for a draining column by parameter identification, Soil Sci. Soc. Am. J., 45, 1012-1015.