Uniqueness and stability analysis of hydrogeophysical inversion for time-lapse ground-penetrating radar estimates of shallow soil hydraulic properties

Water Resources Research

Volumn 44, Issue 9, 2008, Pages

  Jadoon, Khan Zaib ^a,b   Slob, Evert ^c   Vanclooster, Marnik ^b   Vereecken, Harry ^a   Lambot, Sébastien ^a,b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTIC MODULI; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC WAVE ATTENUATION; ELECTROMAGNETIC WAVES; ENGINEERING RESEARCH; ERRORS; FLUID DYNAMICS; GEOLOGICAL SURVEYS; GLOBAL OPTIMIZATION; GREEN'S FUNCTION; HYDRAULICS; HYDRODYNAMICS; INFILTRATION; MODAL ANALYSIS; RADAR; RADAR ANTENNAS; SEEPAGE; SOIL MECHANICS; THREE DIMENSIONAL; WATER CONTENT;

ACCURATE ESTIMATIONS; ELECTROMAGNETIC MODELS; ESTIMATION ERRORS; FIELD APPLICATIONS; HYDROGEOPHYSICAL; INFILTRATION FLUXES; MULTILAYERED MEDIAS; NUMERICAL EXPERIMENTS; PENETRATING RADARS; PETROPHYSICAL MODELS; POSSIBLE ERRORS; PRE-REQUISITES; PRECISE MEASUREMENTS; RICHARDS EQUATIONS; SATURATED WATERS; SEARCH OPTIMIZATIONS; SHALLOW SOILS; SOIL HYDRAULIC PARAMETERS; SOIL HYDRAULIC PROPERTIES; SPATIAL RESOLUTION.; STABILITY ANALYSES; SUBSURFACE FLOWS; UNSATURATED SOILS;

SOILS;

ELECTROMAGNETIC METHOD; FLOW MODELING; GROUND PENETRATING RADAR; HYDRAULIC PROPERTY; HYDROGEOLOGY; INFILTRATION; NUMERICAL METHOD; RICHARDS EQUATION; SOIL WATER; STABILITY ANALYSIS;

EID: 55249124810     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006639     Document Type: Article

References (54)

1. Annan, A. P. (2005), GPR methods for hydrogeological studies, in Hydrogeophysics, Water Sci. Technol. Libr. Ser., vol. 50, edited by Y. Rubin and S. Hubbard, pp. 185-213, Springer, New York.
2. Bano, M. (2006), Effects of the transition zone above a water table on the reflection of GPR waves, Geophys. Res. Lett., 33, L13309, doi:10.1029/2006GL026158.
3. Behaegel, M., P. Sailhac, and G. Marquis (2007), On the use of surface and ground temperature data to recover soil water content information, J. Appl. Geophys., 62(3), 234-243.
4. Binley, A., G. Cassiani, R. Middleton, and P. Winship (2002), Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging, J. Hydrol., 267, 147-159.
5. Blumberg, D. G., V. Freilikher, I. V. Lyalko, L. D. Vulfson, A. L. Kotlyar, V. N. Shevchenko, and A. D. Ryabokonenko (2000), Soil moisture (water-content) assessment by an airborne scatterometer: The Chernobyl disaster area and the Negev Desert, Remote Sens. Environ., 71(3), 309-319.
6. Born, M., and E. Wolf (1980), Principles of Optics, 6th ed., Pergamon, Oxford, U. K.
7. Brocca, L., R. Morbidelli, F. Melone, and T. Moramarco (2007), Soil moisture spatial variability in experimental areas of central Italy, J. Hydrol., 333, 356-373.
8. Cassiani, G., and A. Binley (2005), Modeling unsaturated flow in a layered formation under quasi-steady state conditions using geophysical data constraints, Adv. Water Resour., 28(5), 467-477.
9. Dirksen, C., and S. Dasberg (1993), Improved calibration of time-domain reflectometry soil-water content measurements, Soil Sci. Soc. Am. J., 57, 660-667.
10. Ersahin, S., and A. R. Brohi (2006), Spatial variation of soil water content in topsoil and subsoil of a typic ustifluvent, Agric. Water Manage., 83(1-2), 79-86.
11. Fuentes, C., R. Haverkamp, and J. Y. Parlange (1992), Parameter constraints on closed-form soil water relationships, J. Hydrol., 134, 117-142.
12. Galagedara, L. W., G. W. Parkin, J. D. Redman, P. von Bertoldi, and A. L. Endres (2005), Field studies of the GPR ground wave method for estimating soil water content during irrigation and drainage, J. Hydrol., 301, 182-197.
13. Heimovaara, T. J. (1994), Frequency domain analysis of time domain reflectometry waveforms: 1. Measurement of the complex dielectric permittivity of soils, Water Resour. Res., 30, 189-199.
14. Heimovaara, T. J., J. A. Huisman, J. A. Vrugt, and W. Bouten (2004), Obtaining the spatial distribution of water content along a TDR probe using the SCEM-UA Bayesian inverse modeling scheme, Vadose Zone J., 3, 1128-1145.
15. Hubbard, S., J. Chen, K. Williams, J. Peterson, and Y. Rubin (2005), Environmental and agricultural applications of GPR, in Proceedings of the 3rd International Workshop on Advanced Ground Penetrating Radar, edited by A. Gorriti and S. Lambot, pp. 45-49, Delft Univ. of Technol., Delft, Netherlands.
16. Huisman, J. A., S. S. Hubbard, J. D. Redman, and A. P. Annan (2003), Measuring soil water content with ground penetrating radar: A review, Vadose Zone J., 2, 476-491.
17. Hupet, F., and M. Vanclooster (2002), Intraseasonal dynamics of soil moisture variability within a small agricultural maize cropped field, J. Hydrol., 261, 86-101.
18. Huyer, W., and A. Neumaier (1999), Global optimization by multilevel coordinate search, J. Global Optim., 14(4), 331-355.
19. Johnson, R. H., and E. P. Poeter (2007), Insights into the use of time-lapse GPR data as observations for inverse multiphase flow simulations of DNAPL migration, J. Contam. Hydrol., 89(1-2), 136-155.
20. Jury, W. A., W. R. Gardner, and W. H. Gardner (1996), Soil Physics, 5th ed., John Wiley, New York.
21. Kelleners, T. J., D. A. Robinson, P. J. Shouse, J. E. Ayars, and T. H. Skaggs (2005), Frequency dependence of the complex permittivity and its impact on dielectric sensor calibration in soils, Soil Sci. Soc. Am. J., 69, 67-76.
22. Kool, J. B., and J. C. Parker (1988), Analysis of the inverse problem for transient unsaturated flow, Water Resour. Res., 24, 817-830.
23. Kool, J. B., J. C. Parker, and M. T. van Genuchten (1985), Determining soil hydraulic properties from one-step outflow experiments by parameter estimation: Theory and numerical studies, Soil Sci. Soc. Am. J., 49, 1348-1354.
24. Kowalsky, M. B., S. Finsterle, J. Peterson, S. Hubbard, Y. Rubin, E. Majer, A. Ward, and G. Gee (2005), Estimation of field-scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data, Water Resour. Res., 41, W11425, doi:10.1029/2005WR004237.
25. Laganas, J. C., J. A. Reeds, M. H. Wright, and P. E. Wright (1998), Convergence properties of the Nelder-Mead simplex method in low dimensions, SIAM J. Optim., 9(1), 112-147.
26. Lambot, S., M. Javaux, F. Hupet, and M. Vanclooster (2002), A global multilevel coordinate search procedure for estimating the unsaturated soil hydraulic properties, Water Resour. Res., 38(11), 1224, doi:10.1029/2001WR001224.
27. Lambot, S., F. Hupet, M. Javaux, and M. Vanclooster (2004a), Laboratory evaluation of a hydrodynamic inverse modeling method based on water content data, Water Resour. Res., 40, W03506, doi:10.1029/2003WR002641.
28. Lambot, S., J. Rhebergen, I. van den Bosch, E. C. Slob, and M. Vanclooster (2004b), Measuring the soil water content profile of a sandy soil with an off-ground monostatic ground penetrating radar, Vadose Zone J., 3, 1063-1071.
29. Lambot, S., E. C. Slob, I. van den Bosch, B. Stockbroeckx, and M. Vanclooster (2004c), Modeling of ground-penetrating radar for accurate characterization of subsurface electric properties, IEEE Trans. Geosci. Remote Sens., 42, 2555-2568.
30. Lambot, S., E. C. Slob, M. Vanclooster, and H. Vereecken (2006a), Closed loop GPR data inversion for soil hydraulic and electric property determination, Geophys. Res. Lett., 33, L21405, doi:10.1029/2006GL027906.
31. Lambot, S., L. Weihermüller, J. A. Huisman, H. Vereecken, M. Vanclooster, and E. C. Slob (2006b), Analysis of air-launched ground-penetrating radar techniques to measure the soil surface water content, Water Resour. Res., 42, W11403, doi:10.1029/2006WR005097.
32. Lambot, S., E. Slob, and H. Vereecken (2007), Fast evaluation of zero-offset Green's function for layered media with application to ground-penetrating radar, Geophys. Res. Lett., 34, L21405, doi:10.1029/2007GL031459.
33. Ledieu, J., P. De Ridder, P. De Clercq, and S. Dautrebande (1986), A method of measuring soil moisture by time domain reflectometry, J. Hydrol., 88, 319-328.
34. Linde, N., A. Binley, A. Tryggvason, L. B. Pedersen, and A. Revil (2006), Improved hydrogeophysical characterization using joint inversion of cross-hole electrical resistance and ground-penetrating radar traveltime data, Water Resour. Res., 42, W12404, doi:10.1029/2006WR005131.
35. Looms, M., A. Binley, K. H. Jensen, L. Nielsen, and T. M. Hansen (2008), Identifying unsaturated hydraulic parameters using an integrated data fusion approach on cross-borehole geophysical data, Vadose Zone J., 7, 238-248, doi:10.2136/vzj2007.0087.
36. Lopera, O., E. C. Slob, N. Milisavljevic, and S. Lambot (2007), Filtering soil surface and antenna effects from GPR data to enhance landmine detection, IEEE Trans. Geosci. Remote Sens., 45, 707-717.
37. Lunt, I. A., S. S. Hubbard, and Y. Rubin (2005), Soil moisture content estimation using ground-penetrating radar reflection data, J. Hydrol., 307, 254-269.
38. Michalski, K. A., and J. R. Mosig (1997), Multilayered media Green's functions in integral equation formulations, IEEE Trans. Antennas Propag., 45(3), 508-519.
39. Mualem, Y. (1976), A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513-522.
40. Nimmo, J. R. (1991), Comment on the treatment of residual water content in "A consistent set of parametric models for the two-phase flow of immiscible fluids in the subsurface" by L. Luckner et al., Water Resour. Res., 27, 661-662.
41. Rhoades, J. D., P. A. C. Raats, and R. J. Prafher (1976), Effects of liquid-phase electrical conductivity, water content, and surface conductivity on bulk soil electrical conductivity, Soil Sci. Soc. Am. J., 40, 651-655.
42. Rhoades, J. D., P. J. Shouse, W. J. Alves, N. A. Manteghi, and S. M. Lesch (1990), Determining soil salinity from soil electrical conductivity using different models and estimates, Soil Sci. Soc. Am. J., 54, 46-54.
43. Robinson, D. A., S. B. Jones, J. M. Wraith, D. Or, and S. P. Friedman (2003), A review of advances in dielectric and electrical conductivity measurement in soils using time domain reflectometry, Vadose Zone J., 2, 444-475.
44. Rucker, D. F., and T. P. A. Ferré (2004), Parameter estimation for soil hydraulic properties using zero-offset borehole radar: Analytical method, Soil Sci. Soc. Am. J., 68, 1560-1567.
45. Slob, E., and J. Fokkema (2002), Coupling effects of two electric dipoles on an interface, Radio Sci., 37(5), 1073, doi:10.1029/2001RS002529.
46. Topp, G., J. L. Davis, and A. P. Annan (1980), Electromagnetic determination of soil water content: Measurements in coaxial transmission lines, Water Resour. Res., 16, 574-582.
47. Truss, S., M. Grasmueck, S. Vega, and D. A. Viggiano (2007), Imaging rainfall drainage within the Miami oolitic limestone using high-resolution time-lapse ground-penetrating radar, Water Resour. Res., 43, W03405, doi:10.1029/2005WR004395.
48. Tsoflias, G. P., T. Halihan, and J. M. Sharp (2001), Monitoring pumping test response in a fractured aquifer using ground-penetrating radar, Water Resour. Res., 37, 1221-1229.
49. Vanclooster, M., P. Viaene, J. Diels, and K. Christiaens (1996), WAVE: A mathematical model for simulating water and agrochemicals in the soil and vadose environment, release 2.1, Inst, for Land and Water Manage., Kath. Univ. Leuven, Leuven, Belgium.
50. van Dam, J. C., J. N. M. Strieker, and P. Droogers (1994), Inverse method to determine soil hydraulic functions from multistep outflow experiments, Soil Sci. Soc. Am. J., 58, 647-652.
51. 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.
52. Vereecken, H. (1995), Estimating the unsaturated hydraulic conductivity from theoretical models using simple soil properties, Geoderma, 65(1-2), 81-92.
53. Vereecken, H., J. Maes, J. Feyen, and P. Darius (1989), Estimating the soil-moisture retention characteristic from texture, bulk-density, and carbon content, Soil Sci., 148(6), 389-403.
54. Wösten, J. H. M., A. Lilly, A. Nemes, and C. Le Bas (1999), Development and use of a database of hydraulic properties of European soils, Geoderma, 90(3-4), 169-185.