Imaging algorithms for geophysical applications of impedance tomography

John E. Molyneux; Alan J. Witten

doi:10.1117/12.139015

29 December 1992 Imaging algorithms for geophysical applications of impedance tomography

John E. Molyneux, Alan J. Witten

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139015
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

The methods of impedance tomography may be employed to obtain images of subsurface electrical conductivity variations. For practical reasons, voltages and currents are usually applied at locations on the ground surface or down a limited number of boreholes, but almost never over the entire surface of the region being investigated. The geophysical inversion process can be facilitated by constructing algorithms adopted to these particular geometries and to the lack of complete surface data. In this paper we assume that the fluctuations in conductivity are small compared to the background value. The imaging of these fluctuations is carried out exactly within the constraints imposed by the problem geometry. Several possible arrangements of injection and monitoring electrodes are considered. In two dimensions these include: Cross-line geometry, current input along one line (borehole) and measurements along a separate parallel line. Single-line geometry, injection and monitoring using the same borehole. Surface reflection geometry, all input and measurement along the ground surface. Theoretical and practical limitations on the image quality produced by the algorithms are discussed. They are applied to several sets of simulated data, and the images produced are analyzed.

Citation Download Citation

John E. Molyneux and Alan J. Witten "Imaging algorithms for geophysical applications of impedance tomography", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139015

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