1887
Volume 46 Number 3
  • E-ISSN: 1365-2478

Abstract

An algorithm for modelling and migrating ground penetrating radar (GPR) data in moderately heterogeneous dispersive media is presented. The method is based on wavefield extrapolation in the frequency–wavenumber () domain, from the solution of the 2D Maxwell's equations. The wavefield is extrapolated by a phase‐shift technique using a constant relative permittivity and a quality factor . It is then modified by a correction term to handle the lateral and variations. The spatial distribution of the and ‐factor values, representing the given model parameters, is introduced into the algorithm by a regular grid parametrization. The radar wave dispersion and attenuation, induced by relaxation processes, are taken into account by a linear frequency‐dependent model, and expressed by a complex wavenumber in the propagation equation.

A synthetic case and a field data set illustrate the potential of the method for frequencies of 300, 500 and 900 MHz. In the first case, a typical civil engineering problem is considered. The frequency dependence of the wave velocity and attenuation is well illustrated. The synthetic data are afterwards migrated using the initial model parameters. The results show the importance of using spatially varying model parameters in the migration processes. The second case concerns an application of the method to a real data set. In order to adjust the model parameters, a forward modelling sequence is performed until the best match between the measured and the synthetic data is achieved. A depth migration is then applied to the data, and the result is compared with the initial model parameters.

In conclusion, we assess the contributions of the method to industrial applications, by discussing the performance of the algorithm compared with its limitations.

Loading

Article metrics loading...

/content/journals/10.1046/j.1365-2478.1998.00091.x
2008-06-28
2024-04-28
Loading full text...

Full text loading...

References

  1. BalanisC.A. 1989. Advanced Engineering Electromagnetics. John Wiley & Sons, Inc.
  2. BanoM. 1996. Constant dielectric losses of ground‐penetrating radar waves. Geophysical Journal International124,279–288.
    [Google Scholar]
  3. BradfordJ., RamaswamyM. and PeddyC. 1996. Imaging PVC gas pipes using 3‐D GPR. SAGEEP Proceedings, Keystone, Colorado, 519–524.
  4. CaiJ. and McMechanG.A. 1995. Ray‐based synthesis of bistatic ground‐penetrating radar profiles. Geophysics60,87–96.
    [Google Scholar]
  5. CarcioneJ.M. 1996. Ground‐radar numerical modelling applied to engineering problems. European Journal of Environmental and Engineering Geophysics1,65–82.
    [Google Scholar]
  6. CasperD.A. and KungK.J.S. 1996. Simulation of ground penetrating radar waves in a 2D soil model. Geophysics61,1034–1049.
    [Google Scholar]
  7. ClaerboutJ.F.1985. Imaging the Earth's Interior. Blackwell Scientific Publications.
  8. DavisJ.L. and AnnanA.P. 1989. Ground‐penetrating radar for high resolution mapping of soil and rock stratigraphy. Geophysical Prospecting37,531–551.
    [Google Scholar]
  9. GazdagZ. 1978. Wave‐equation migration with the phase‐shift method. Geophysics43,1342–1351.
    [Google Scholar]
  10. GoodmanD. 1994. Ground penetrating radar simulation in engineering and archeology. Geophysics59,224–232.
    [Google Scholar]
  11. GueguenY. and PalciauskasV. 1992. Introduction à la Physique des Roches. Hermann Ed., Paris.
  12. JonsherA.K. 1977. The universal dielectric response. Nature267,673–679.
    [Google Scholar]
  13. JonsherA.K. 1981. Review. A new understanding of the dielectric relaxation of solids. Journal of Material Sciences61,2037–2060.
    [Google Scholar]
  14. KjartanssonE. 1979. Constant Q propagation and attenuation. Journal of Geophysical Research84,4737–4748.
    [Google Scholar]
  15. MelletJ.S. 1995. Ground penetrating radar applications in engineering, environmental management, and geology. Applied Geophysics33,157–166.
    [Google Scholar]
  16. MoghaddamsM., YannakakisE.J. and ChewW.C. 1991. Modelling of the subsurface interface radar. Journal of Electromagnetic Waves Application5,17–39.
    [Google Scholar]
  17. PowersM.H. 1995. Dispersive ground‐penetrating radar modelling in 2D. PhD thesis, Colorado School of Mines.
  18. RobertsR.L. 1994. Analysis and theoretical modelling of GPR polarization data. PhD thesis, Ohio State University.
  19. StoffaP., FokkemaJ., De Luna FreireR. and KessingerW. 1990. Split‐step Fourier migration. Geophysics55,410–421.
    [Google Scholar]
  20. TurnerG. and SigginsA.F. 1994. Constant Q attenuation of subsurface radar pulses. Geophysics59,1192–1200.
    [Google Scholar]
  21. UlriksenC.P.F. 1982. Application of impulse radar to civil engineering. PhD thesis, University of Lund.
http://instance.metastore.ingenta.com/content/journals/10.1046/j.1365-2478.1998.00091.x
Loading
/content/journals/10.1046/j.1365-2478.1998.00091.x
Loading

Data & Media loading...

  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error