Image Reconstruction of Subspace Object Using Electrical Resistance Tomography

Electrical resistance tomograpy (ERT) maps resistivity values of the soil subsurface and characterizes buried objects. The characterization includes location, size, and resistivity of buried objects. In this paper, truncated least squares (TLS) is presented for the solution of the ERT image reconstruction. Results of numerical experiments in ERT solved by the TLS approach is presented and compared to that obtained by the Gauss-Newton method.

[1]  Peter N. Shive,et al.  Singularity removal: A refinement of resistivity modeling techniques , 1989 .

[2]  R. Parker,et al.  Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data , 1987 .

[3]  Chang-Woo Park,et al.  Indirect Adaptive Regulator Design Based on TSK Fuzzy Models , 2006, Int. J. Fuzzy Log. Intell. Syst..

[4]  F. Dawalibi,et al.  Earth Resistivity Measurement Interpretation Techniques , 1984, IEEE Power Engineering Review.

[5]  G. Keller.  An Introduction to Geophysical Exploration , 1986 .

[6]  Misha Elena Kilmer,et al.  Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems , 2000, SIAM J. Matrix Anal. Appl..

[7]  Gregory A. Newman,et al.  Image appraisal for 2-D and 3-D electromagnetic inversion , 2000 .

[8]  S. Treitel,et al.  A REVIEW OF LEAST-SQUARES INVERSION AND ITS APPLICATION TO GEOPHYSICAL PROBLEMS* , 1984 .

[9]  Richard A Williams,et al.  Process tomography : principles, techniques and applications , 1995 .

[10]  Ramon Pallas-Areny,et al.  Process tomography, principles, techniques and applications: Edited by R. A. Williams and M. S. Beck Published by Butterworth-Heinemann Ltd, Linacre House, Jordan Hill, Oxford OX2 8DP, Great Britain, 1995, ISBN 0 7506 0744 0, 581 + XXV pages, £75.00 , 1996 .

[11]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[12]  J. Nahman,et al.  A practical method for the interpretation of earth resistivity data obtained from driven rod tests , 1988 .

[13]  Sun-Ja Kim,et al.  A Preprocessing Algorithm for Efficient Lossless Compression of Gray Scale Images , 2005 .

[14]  S. Friedel,et al.  Resolution, stability and efficiency of resistivity tomography estimated from a generalized inverse approach , 2003 .

[15]  D. Jackson.  The use of a priori data to resolve non‐uniqueness in linear inversion , 1979 .

[16]  Lun-Tao Tong,et al.  Incorporation of topography into two-dimensional resistivity inversion , 1990 .