User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

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

Primary tabs

Jadoon, Khan Zaib [UCL] Slob, Evert Vanclooster, Marnik [UCL] Vereecken, Harry Lambot, Sébastien [UCL]

[1] Precise measurement of soil hydraulic properties at field scales is one of the prerequisites to simulate subsurface flow and transport processes, which is crucial in many research and engineering areas. In our study, we numerically analyze uniqueness and stability for integrated hydrogeophysical inversion of time-lapse, off-ground ground-penetrating radar (GPR) data in estimating the unsaturated soil hydraulic properties. In the inversion, hydrodynamic modeling based on the one-dimensional (1-D) Richards equation is used to physically constrain a full-waveform radar electromagnetic model. Synthetic GPR data, in terms of 3-D multilayered media Green's functions, were generated for three different textured soils (coarse, medium, and fine) and assuming different infiltration events. Inversion was performed iteratively to estimate three key soil hydraulic parameters (alpha,n, and K-s) of the Mualem-van Genuchten model using the global multilevel coordinate search optimization algorithm. For the coarse- and medium-textured soils, inversions converged to the actual solution for all scenarios. For the fine soil, estimation errors occurred, mainly because of the higher attenuation of the electromagnetic waves in such a soil (high electric conductivity). The procedure appeared to be generally stable with respect to possible errors in the hydrodynamic and petrophysical model parameterization. However, we found that particular attention should be given to an accurate estimation of the saturated water content and infiltration flux for real field applications. The results from our numerical experiments suggest that, in theory, the proposed method is promising for the noninvasive identification of the shallow soil hydraulic properties at the field scale with a high spatial resolution.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2008
Language Anglais
Journal information "Water Resources Research" - Vol. 44, no. 9 (2008)
Peer reviewed yes
Publisher Amer Geophysical Union (Washington)
issn 0043-1397
e-issn 1944-7973
Publication status Publié
Affiliation UCL - SST/ELI/ELIE - Environmental Sciences
Links
  1. Annan A. Peter, GPR Methods for Hydrogeological Studies, Water Science and Technology Library ISBN:9781402031014 p.185-213, 10.1007/1-4020-3102-5_7
  2. Bano Maksim, Effects of the transition zone above a water table on the reflection of GPR waves, 10.1029/2006gl026158
  3. Béhaegel M., Sailhac P., Marquis G., On the use of surface and ground temperature data to recover soil water content information, 10.1016/j.jappgeo.2006.11.005
  4. Binley Andrew, Cassiani Giorgio, Middleton Roy, Winship Peter, Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging, 10.1016/s0022-1694(02)00146-4
  5. Blumberg D.G., Freilikher V., Lyalko I.V., Vulfson L.D., Kotlyar A.L., Shevchenko V.N., Ryabokonenko A.D., Soil Moisture (Water-Content) Assessment by an Airborne Scatterometer, 10.1016/s0034-4257(99)00087-5
  6. Born, Principles of Optics (1980)
  7. Brocca L., Morbidelli R., Melone F., Moramarco T., Soil moisture spatial variability in experimental areas of central Italy, 10.1016/j.jhydrol.2006.09.004
  8. Cassiani Giorgio, Binley Andrew, Modeling unsaturated flow in a layered formation under quasi-steady state conditions using geophysical data constraints, 10.1016/j.advwatres.2004.12.007
  9. Dirksen C., Dasberg S., Improved Calibration of Time Domain Reflectometry Soil Water Content Measurements, 10.2136/sssaj1993.03615995005700030005x
  10. Ersahin Sabit, Brohi A. Resit, Spatial variation of soil water content in topsoil and subsoil of a Typic Ustifluvent, 10.1016/j.agwat.2005.09.002
  11. Fuentes Carlos, Haverkamp Randel, Parlange Jean-Yves, Parameter constraints on closed-form soilwater relationships, 10.1016/0022-1694(92)90032-q
  12. Galagedara L.W., Parkin G.W., Redman J.D., von Bertoldi P., Endres A.L., Field studies of the GPR ground wave method for estimating soil water content during irrigation and drainage, 10.1016/j.jhydrol.2004.06.031
  13. Heimovaara T. J., Frequency domain analysis of time domain reflectometry waveforms: 1. Measurement of the complex dielectric permittivity of soils, 10.1029/93wr02948
  14. Heimovaara Timo J., Huisman Johan A., Vrugt Jasper A., Bouten Willem, Obtaining the Spatial Distribution of Water Content along a TDR Probe Using the SCEM-UA Bayesian Inverse Modeling Scheme, 10.2136/vzj2004.1128
  15. Hubbard, Proceedings of the 3rd International Workshop on Advanced Ground Penetrating Radar, 45 (2005)
  16. Huisman J. A., Hubbard S. S., Redman J. D., Annan A. P., Measuring Soil Water Content with Ground Penetrating Radar, 10.2136/vzj2003.4760
  17. Hupet F, Vanclooster M, Intraseasonal dynamics of soil moisture variability within a small agricultural maize cropped field, 10.1016/s0022-1694(02)00016-1
  18. Huyer Waltraud, Neumaier Arnold, 10.1023/a:1008382309369
  19. Johnson Raymond H., Poeter Eileen P., Insights into the use of time-lapse GPR data as observations for inverse multiphase flow simulations of DNAPL migration, 10.1016/j.jconhyd.2006.08.003
  20. Jury, Soil Physics (1996)
  21. Kelleners, Soil Sci. Soc. Am. J., 69, 67 (2005)
  22. Kool J. B., Parker J. C., Analysis of the inverse problem for transient unsaturated flow, 10.1029/wr024i006p00817
  23. Kool J. B., Parker J. C., van Genuchten M. Th., Determining Soil Hydraulic Properties from One-step Outflow Experiments by Parameter Estimation: I. Theory and Numerical Studies1, 10.2136/sssaj1985.03615995004900060004x
  24. Kowalsky M. B., Finsterle S., Peterson J., Hubbard S., Rubin Y., Majer E., Ward A., Gee G., Estimation of field-scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data : JOINT INVERSION OF GPR AND HYDROLOGICAL DATA, 10.1029/2005wr004237
  25. Lagarias Jeffrey C., Reeds James A., Wright Margaret H., Wright Paul E., Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions, 10.1137/s1052623496303470
  26. Lambot S., Javaux M., Hupet F., Vanclooster M., A global multilevel coordinate search procedure for estimating the unsaturated soil hydraulic properties : GMCS-NMS INVERSION FOR SOIL HYDRAULIC FUNCTIONS, 10.1029/2001wr001224
  27. Lambot S., Hupet F., Javaux M., Vanclooster M., Laboratory evaluation of a hydrodynamic inverse modeling method based on water content data : SOIL HYDRAULIC PARAMETERS FROM WATER CONTENT DATA, 10.1029/2003wr002641
  28. Lambot S., Rhebergen J., van den Bosch I., Slob E. C., Vanclooster M., Measuring the Soil Water Content Profile of a Sandy Soil with an Off-Ground Monostatic Ground Penetrating Radar, 10.2136/vzj2004.1063
  29. Lambot S., Slob E.C., van den Bosch I., Stockbroeckx B., Vanclooster M., Modeling of ground-penetrating Radar for accurate characterization of subsurface electric properties, 10.1109/tgrs.2004.834800
  30. Lambot S., Slob E. C., Vanclooster M., Vereecken H., Closed loop GPR data inversion for soil hydraulic and electric property determination, 10.1029/2006gl027906
  31. Lambot Sébastien, Weihermüller Lutz, Huisman Johan A., Vereecken Harry, Vanclooster Marnik, Slob Evert C., Analysis of air-launched ground-penetrating radar techniques to measure the soil surface water content : SURFACE WATER CONTENT FROM AIR-LAUNCHED GPR, 10.1029/2006wr005097
  32. Lambot Sébastien, Slob Evert, Vereecken Harry, Fast evaluation of zero-offset Green's function for layered media with application to ground-penetrating radar, 10.1029/2007gl031459
  33. Ledieu J., De Ridder P., De Clerck P., Dautrebande S., A method of measuring soil moisture by time-domain reflectometry, 10.1016/0022-1694(86)90097-1
  34. Linde Niklas, Binley Andrew, Tryggvason Ari, Pedersen Laust B., Revil André, Improved hydrogeophysical characterization using joint inversion of cross-hole electrical resistance and ground-penetrating radar traveltime data : JOINT INVERSION OF CROSS-HOLE ERT AND GPR, 10.1029/2006wr005131
  35. Looms Majken C., Binley Andrew, Jensen Karsten H., Nielsen Lars, Hansen Thomas M., Identifying Unsaturated Hydraulic Parameters Using an Integrated Data Fusion Approach on Cross-Borehole Geophysical Data, 10.2136/vzj2007.0087
  36. Lopera Olga, Slob Evert C., Milisavljevic Nada, Lambot Sbastien, Filtering Soil Surface and Antenna Effects From GPR Data to Enhance Landmine Detection, 10.1109/tgrs.2006.888136
  37. Lunt I.A., Hubbard S.S., Rubin Y., Soil moisture content estimation using ground-penetrating radar reflection data, 10.1016/j.jhydrol.2004.10.014
  38. Michalski K.A., Mosig J.R., Multilayered media Green's functions in integral equation formulations, 10.1109/8.558666
  39. Mualem Yechezkel, A new model for predicting the hydraulic conductivity of unsaturated porous media, 10.1029/wr012i003p00513
  40. Nimmo John R., 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., 10.1029/91wr00165
  41. Rhoades J. D., Raats P. A. C., Prather R. J., Effects of Liquid-phase Electrical Conductivity, Water Content, and Surface Conductivity on Bulk Soil Electrical Conductivity1, 10.2136/sssaj1976.03615995004000050017x
  42. Rhoades J. D., Shouse P. J., Alves W. J., Manteghi Nahid A., Lesch S. M., Determining Soil Salinity from Soil Electrical Conductivity using Different Models and Estimates, 10.2136/sssaj1990.03615995005400010007x
  43. Robinson D. A., Jones S. B., Wraith J. M., Or D., Friedman S. P., A Review of Advances in Dielectric and Electrical Conductivity Measurement in Soils Using Time Domain Reflectometry, 10.2136/vzj2003.4440
  44. Rucker Dale F., Ferré Ty P. A., Parameter Estimation for Soil Hydraulic Properties Using Zero-Offset Borehole Radar, 10.2136/sssaj2004.1560
  45. Slob Evert, Fokkema Jacob, Coupling effects of two electric dipoles on an interface : COUPLING EFFECTS OF TWO ELECTRIC DIPOLES ON AN INTERFACE, 10.1029/2001rs002529
  46. Topp G. C., Davis J. L., Annan A. P., Electromagnetic determination of soil water content: Measurements in coaxial transmission lines, 10.1029/wr016i003p00574
  47. Truss Steven, Grasmueck Mark, Vega Sandra, Viggiano David A., Imaging rainfall drainage within the Miami oolitic limestone using high-resolution time-lapse ground-penetrating radar : IMAGING DRAINAGE USING TIME-LAPSE GPR, 10.1029/2005wr004395
  48. Tsoflias Georgios P., Halihan Todd, Sharp John M., Monitoring pumping test response in a fractured aquifer using ground-penetrating radar, 10.1029/2000wr900297
  49. Vanclooster , M. P. Viaene J. Diels 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., Stricker J. N. M., Droogers P., Inverse Method to Determine Soil Hydraulic Functions from Multistep Outflow Experiments, 10.2136/sssaj1994.03615995005800030002x
  51. van Genuchten M. Th., A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1, 10.2136/sssaj1980.03615995004400050002x
  52. Vereecken H., Estimating the unsaturated hydraulic conductivity from theoretical models using simple soil properties, 10.1016/0016-7061(95)92543-x
  53. VEREECKEN H., MAES J., FEYEN J., DARIUS P., ESTIMATING THE SOIL MOISTURE RETENTION CHARACTERISTIC FROM TEXTURE, BULK DENSITY, AND CARBON CONTENT : , 10.1097/00010694-198912000-00001
  54. Wösten J.H.M, Lilly A, Nemes A, Le Bas C, Development and use of a database of hydraulic properties of European soils, 10.1016/s0016-7061(98)00132-3
Bibliographic reference Jadoon, Khan Zaib ; Slob, Evert ; Vanclooster, Marnik ; Vereecken, Harry ; Lambot, Sébastien. Uniqueness and stability analysis of hydrogeophysical inversion for time-lapse ground-penetrating radar estimates of shallow soil hydraulic properties. In: Water Resources Research, Vol. 44, no. 9 (2008)
Permanent URL http://hdl.handle.net/2078.1/36358