A Simple Direct Method for Computing the Parameters of a Buried Disc from the Results of a Gravity Survey

T. Lee

doi:10.1071/EG971301

ISSN: 0812-3985
E-ISSN: 1834-7533

A Simple Direct Method for Computing the Parameters of a Buried Disc from the Results of a Gravity Survey
Authors T. Lee
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 2, Issue 3, Jul 1971, p. 1 - 6
DOI: https://doi.org/10.1071/EG971301
- Published online: 01 Jul 1971

Abstract

The vertical component of the gravitational field across a right vertical disc may be formulated in terms of elliptic integrals. This may be transformed into a more manageable form by the Hankel transform.

The transformed integrals give relationships from which a unique solution for the radius of the disc, the thickness and the depth of burial may be readily obtained, for a given density.

The method has been programmed for a computer and has been found to produce rapid and reliable results.

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1971-07-01

2026-01-18

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References

ABRAMOWITZ, M., STEGUN, I.A., 1965 Handbook of Mathematical Functions. Dover, New York, 1046 pp.
ALLEN, E.E., 1954 Analytical Approximations. Math. Tables Aids comp., Vol. 8, pp 240-241.
DITKIN, V.A., PRUDNIKOV, A.P. 1965 Integral transforms and operational calculus. Translated by D.A. Brown and edited by E.E. Sneddon. Pergamon Press, New York, 529 pp.
GRANT, F.S., WEST, G.F., 1965 Interpretation Theory in Applied Geophysics. McGraw Hill, New York, 583 pp.
GRAY, A., MATHEWS, G.B., 1966 A treatise on Bessel Functions and their applications to physics. Second edition prepared by Gray, A., and MacRobert, T.M., Dover, New York, 327 pp
LUKE, Y.L., 1962 Integrals of Bessel Functions. McGraw Hill, New York, 419 pp.
NABIGHIAN, M.N., 1962 The Gravitational Attraction of a right vertical cylinder at points external to it. Geofisica Pure E. Applicata, Vol. 53, Part 3, pp 45-51.
NAGY, D., 1965 The gravitational attraction of a right rectangular prism. Geophysics, 31, pp 362-371.

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Article Type: Research Article

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A Simple Direct Method for Computing the Parameters of a Buried Disc from the Results of a Gravity Survey

Abstract

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