Parametric inversion technique for location of cylindrical Structures by cross-hole measurements

Kazunori Takahashi, Motoyuki Sato

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


A new parametric inversion technique to locate cylindrical structures has been developed for borehole radar cross-hole measurements. The technique calculates prediction errors, focusing on curve shapes of first-arrival times, and explicitly uses known parameters on a target. Two schemes to compare the measured first-arrival time curves with the calculated ones are proposed. One is by taking the errors between curve gradients of measured and calculated first-arrival times, and the other is by taking the cross correlation between calculated first-arrival times and measured data. The schemes do not need to select the true first-arrival times, which makes this inversion technique robust and easy to use. This technique is validated with synthetic data sets modeling a metallic pipe in homogeneous and heterogeneous medium models. By both models, the inversion technique is able to retrieve the exact location of the pipe, though it employs a rather simple forward model, which can be solved by only geometrical calculations. The technique is applied to measured data sets, and it successfully estimates a pipe location in good agreement with known information. The inversion is also used for an air-filled subsurface cavity with a very simplified forward model, which considers only Snell's law at the cavity-subsurface media interface. It is also able to locate the cavity at a similar location estimated by other conventional techniques.

Original languageEnglish
Article number1717729
Pages (from-to)3348-3355
Number of pages8
JournalIEEE Transactions on Geoscience and Remote Sensing
Issue number11
Publication statusPublished - 2006 Nov


  • Borehole radar
  • Cross-hole
  • Ground-penetrating radar (GPR)
  • Inverse problem
  • Pipe detection
  • Tunnel detection

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Earth and Planetary Sciences(all)


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