Inversion using Euler deconvolution of the magnetic gradient tensor

Phillip W. Schmidt

doi:10.1071/ASEG2006ab159

ISSN: 2202-0586
E-ISSN:

oa Inversion using Euler deconvolution of the magnetic gradient tensor
Authors Phillip W. Schmidt^a
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^a CSIRO Industrial Physics, PO Box 218 Lindfield NSW, 2070, [email protected]
Publisher: Australian Society of Exploration Geophysicists
Source: ASEG Extended Abstracts, Volume 2006, Issue ASEG2006 - 18th Geophysical Conference, Dec 2006, p. 1 - 3
DOI: https://doi.org/10.1071/ASEG2006ab159
- Published online: 01 Dec 2006

Abstract

While the routine measurement of the magnetic gradient tensor is some way off, in certain circumstances it is possible to calculate the gradient tensor from total magnetic intensity (TMI) information. Such circumstances include anomalies being no more than about 20 percent of the local Earth’s field, where the field departs from being a true potential field, and adjacent lines being well levelled.

Euler deconvolution requires solving at least four simultaneous homogeneous equations to yield the location in 3D and the Euler structural index of the source. Combining two or more adjacent tensors provides an over-determined system which allows the covariance to be estimated and gives a measure of uncertainty.

This method extracts a wealth of information on the location and geometry of magnetic sources. However, the method is sensitive to departures of the TMI from being a true potential field, for very strong anomalies, in which case conversion to a true potential can be performed using an iterative method involving calculating components from the TMI and projecting the components onto the local field direction.

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2006-12-01

2026-01-13

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References

Blakely, R.J., 1996, Potential theory in gravity and magnetic applications: Cambridge University Press, Cambridge, pp. 441.
Christensen, A. and Rajagopalan, Shanti, 2000, The magnetic vector and gradient tensor in mineral and oil exploration: Preview, 84, 77.
Emerson, D.W., Clark, D.A. and Saul, S.J., 1985, Magnetic exploration models incorporating remanence, demagnetisation and anisotropy: HP 41C handheld computer algorithms: Exploration Geophysics, 16, 1-122.
Heath, P., Heinson, G. and Greenhalgh, S., 2003, Some comments on potential field tensor data: Exploration Geophysics, 34, 57-62.
Hext, George R., 1963. The estimation of second-order tensors, with related tests and designs: Biometrika, 50, 353-373.
Nelson, J.B., 1988, Calculation of the magnetic gradient tensor from total field gradient measurements and its application to geophysical interpretation: Geophysics, 53, 957-966.
Schmidt, P.W. and Clark, D.A., 2000, Advantages of measuring the magnetic gradient tensor: Preview, 85, 26-30.
Schmidt, P., Clark, D., Leslie, K., Bick, M., Tilbrook, D. and Foley, C., 2004. GETMAG – A SQUID magnetic tensor gradiometer for mineral and oil exploration: Exploration Geophysics, 35, 297-305.
Zhang, Changyou, Mushayandevu, M.F., Reid, A.B., Fairhead, J.D. and Odegard, M.E., 2000, Euler deconvolution of gravity tensor gradient data: Geophysics, 65, 512-520.

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Article Type: Research Article

Keyword(s): Euler; inversion; magnetic; survey; tensor

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oa Inversion using Euler deconvolution of the magnetic gradient tensor

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