Least-squares local Radon transforms for dip-dependent GPR image decomposition

GPR is a powerful tool for geophysical near-surface investigations. It is capable of delivering a high-resolution image of the subsurface structure. However, if the underground consists of many reflecting events, the analysis and interpretation of the data can be very complicated. In this paper, we present a new image decomposition technique that is based on Local Radon transforms. This technique is a parametric local dip-decomposition method that allows us to extract features from or reconstruct GPR data. In addition, it can also be applied to determine coherence attributes from the data. In particular, we show that after reconstructing the data with only a subset of dips, the interpretability of GPR images improves significantly in as such that reflectors in the migrated images are much easier to detect. We demonstrate the capabilities of this technique at GPR data acquired at the highly fractured summit of Turtle Mountain (Alberta/Canada). D 2005 Elsevier B.V. All rights reserved.

[1]  Mauricio D. Sacchi,et al.  Latest views of the sparse Radon transform , 2003 .

[2]  Greg Turner,et al.  Aliasing in the tau-p transform and the removal of spatially aliased coherent noise , 1990 .

[3]  M. Foster,et al.  THE COEFFICIENT OF COHERENCE: ITS ESTIMATION AND USE IN GEOPHYSICAL DATA PROCESSING , 1967 .

[4]  George A. McMechan,et al.  GPR characterization of buried tanks and pipes , 1997 .

[5]  H. Mack Coherence And Structure , 1974 .

[6]  T. Quarta,et al.  Improvement in GPR coherent noise attenuation using τ-p and wavelet transforms , 2004 .

[7]  Öz Yilmaz,et al.  Seismic data processing , 1987 .

[8]  Ronald R. Coifman,et al.  Local discontinuity measures for 3-D seismic data , 2002 .

[9]  Dean Goodman,et al.  GPR time slices in archaeological prospection , 1995, Archaeological Prospection.

[10]  Dan Hampson,et al.  Inverse Velocity Stacking For Multiple Elimination , 1986 .

[11]  Mauricio D. Sacchi,et al.  Mapping fractures with GPR: A case study from Turtle Mountain , 2006 .

[12]  P. Hansen Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , 1987 .

[13]  G. Schuster,et al.  Least-squares migration of incomplete reflection data , 1999 .

[14]  Hans Knutsson,et al.  Signal processing for computer vision , 1994 .

[15]  R. Lynn Kirlin,et al.  3-D seismic attributes using a semblance‐based coherency algorithm , 1998 .

[16]  D. J. Verschuur,et al.  Data Reconstruction By Generalized Deconvolution , 2004 .