Skip to main content
SpringerLink
Log in

Frequency Diversity in a Linear Inversion Algorithm for GPR Prospecting

  • Published:
Subsurface Sensing Technologies and Applications Aims and scope Submit manuscript

Abstract.

A tomographic approach is presented for processing GPR data under a multifrequency/multistatic/multiview measurement configuration. The approach exploits the Born Approximation so that a linear inversion problem is achieved. This allows to analyze the reconstruction capabilities of the solution algorithm and also discuss about the requirements of the number and the spacing of the frequencies needed in order to achieve a nonredundant set of data. It is stressed their dependence on the extent of the observation and investigation domains and the dielectric permittivity of the host medium. The investigation is first performed in the simplifying assumptions of lossless environment so to gain guidelines. Then numerical reconstruction results with model and exact scattered field data, for more realistic geometries, are presented with the aim of confirming the theoretical expectations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Y.J. Kim L. Jofre F. De Flaviis M.Q. Feng (2003) ArticleTitleMicrowave reflection tomographic array for damage detection of civil structures IEEE Trans. Antennas Prop. 51 3022–3032 Occurrence Handle10.1109/TAP.2003.818786

    Article  Google Scholar 

  2. Daniels D., (2004). Ground Penetrating Radar, Inspec/Iee, 30 October, 2004, ISBN: 0863413609

  3. D. Colton R. Kress (1992) Inverse acoustic and electromagnetic scattering theory Springer-Verlag Berlin

    Google Scholar 

  4. R. Persico F. Soldovieri R. Pierri (2002) ArticleTitleOn the convergence properties of a quadratic approach to the inverse scattering problem J. Opt. Soc. Am. Pt. A 19 2424–2428

    Google Scholar 

  5. W.C. Chew (1995) Waves and Fields in Inhomogeneous Media IEEE Press Piscataway, NJ

    Google Scholar 

  6. Bertero M. and Boccacci P., (1998). -Introduction to inverse problems in imaging: Inst. of Physics.

  7. G. Leone F. Soldovieri (2003) ArticleTitleAnalysis of the distorted Born approximation for subsurface reconstruction: Truncation and uncertainties effects IEEE Trans. Geosci. Remote Sensing 41 IssueID1 66–74 Occurrence Handle10.1109/TGRS.2002.806999

    Article  Google Scholar 

  8. Leone G., Persico R., and Soldovieri F., (2004). Frequency diversity in a linear inversion algorithm for GPR prospecting: Proceedings of 10th International Conference on Ground Penetrating Radar, Delft. The Netherlands.

  9. D. Lesselier B. Duchene (1996) Wavefield inversion of objects in stratified environments: From back-propagation schemes to full solutions R. Stone (Eds) Review of Radio Science 1993–1996 Oxford University Press Oxford

    Google Scholar 

  10. B.T. Hansen P.M. Johansen (2000) ArticleTitleInversion scheme for monostatic ground penetrating radar that takes into account the planar air-soil interface IEEE Trans. Geosci. Remote Sensing 38 496–506 Occurrence Handle10.1109/36.823944

    Article  Google Scholar 

  11. J.T. Cui W.C. Chew (2000) ArticleTitleNovel diffraction tomographic algorithm forimaging two-dimensional dielectric objects buried under a lossy earth IEEE Trans. Geosci. Remote Sensing 38 2033–2041 Occurrence Handle10.1109/36.851784

    Article  Google Scholar 

  12. J.T. Cui W.C. Chew (2002) ArticleTitleDiffraction tomographic algorithm for the detection of three-dimensional objects buried in a lossy half-space IEEE Trans. Antennas Propag. 50 42–49 Occurrence Handle10.1109/8.992560

    Article  Google Scholar 

  13. P. Meincke (2001) ArticleTitleLinear GPR inversion for lossy soil and a planar air-soil interface IEEE Trans. Geosci. Remote Sensing 39 IssueID12 2713–2721 Occurrence Handle10.1109/36.975005

    Article  Google Scholar 

  14. Leone G., Persico R., Liseno A., and Soldovieri F., (2003)., Linear models of the electromagnetic scattering in GPR applications: Proceedings of Second International Workshop on Advanced Ground Penetrating Radar, Delft, May 2003, p. 56–59

  15. Leone G., Persico R., Solimene R., Tamburrino R., and Pierri R., (2003)., Forward Models for Simulations in Electromagnetic Diagnostics Applications., Workshop on Multidisciplinary Approach to Seismic Risk Problem, Santangelo dei Lombardi, Italy, September 2003.

Download references

Author information

Authors and Affiliations

  1. Istituto per il Rilevamento Elettromagnetico dell’Ambiente, Consiglio Nazionale delle Ricerche, Napoli, 80124, Italy

    Francesco Soldovieri & Raffaele Persico

  2. Dipartimento di Informatica, Matematica, Elettronica e Trasporti (DIMET), Università Mediterranea di Reggio Calabria, Reggio Calabria, 89060, Italy

    Giovanni Leone

Authors
  1. Francesco Soldovieri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Raffaele Persico
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Giovanni Leone
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francesco Soldovieri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soldovieri, F., Persico, R. & Leone, G. Frequency Diversity in a Linear Inversion Algorithm for GPR Prospecting. Subsurf Sens Technol Appl 6, 25–42 (2005). https://doi.org/10.1007/s11220-005-4224-1

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11220-005-4224-1

Keywords

Search

Navigation