SOME COMMENTS ON THE CALCULATION OF THE GRAVITATIONAL AND MAGNETIC ATTRACTION OF A HOMOGENEOUS RECTANGULAR PRISM *

A. K. GOODACRE

doi:10.1111/j.1365-2478.1973.tb00014.x

E-ISSN: 1365-2478

SOME COMMENTS ON THE CALCULATION OF THE GRAVITATIONAL AND MAGNETIC ATTRACTION OF A HOMOGENEOUS RECTANGULAR PRISM *
By A. K. GOODACRE¹
View Affiliations Hide Affiliations

Affiliations: ¹ Dept. of Geology, University of Durham, Durham, England. Earth Physics Branch, Department of Energy, Mines and Resources, Ottawa, Canada.
Source: Geophysical Prospecting, Volume 21, Issue 1, Apr 1973, p. 66 - 69
DOI: https://doi.org/10.1111/j.1365-2478.1973.tb00014.x
- Published online: 27 Apr 2006

Abstract

The use of arctangents rather than arcsines in the expression for the gravitational attraction of a homogeneous rectangular prism reduces computational difficulties. Once a subroutine is available to compute one component of attraction in a Cartesian coordinate system, the other components may be obtained by cyclic permutation of the field point and body coordinate parameters. This technique also readily provides derivatives of the gravitational attraction and hence forms a compact method for the calculation of a magnetic anomaly due to a homogeneous rectangular magnetic prism.

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1973.tb00014.x

2006-04-27

2024-04-29

From This Site

/content/journals/10.1111/j.1365-2478.1973.tb00014.x

dcterms_title,dcterms_subject,pub_keyword

-contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution

10

5

Full text loading...

References

Baranov, V., 1957, A new method for interpretation of aeromagnetic maps: pseudogravimetric anomalies, Geophysics22, 359–383.
[Google Scholar]
Botezatu, R., Visarion, M., Scurtu, F. and Cucu, G., 1971, Approximation of the gravitational attraction of geological bodies, Geophys. Prosp., 19, 218–227.
[Google Scholar]
Kellogg, O. D., 1929, Foundations of potential theory, Julius Springer, Berlin , 384 pp.
[Google Scholar]
Nagy, D., 1966a, The gravitational attraction of a right rectangular prism, Geophysics31, 362–371.
[Google Scholar]
Nagy, D., 1966b, Reply by author to discussions by J. Cl, de Bremaecker and Charles E, Corbato, Geophysics31, 987.
[Google Scholar]

http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1973.tb00014.x

Article Type: Research Article

SOME COMMENTS ON THE CALCULATION OF THE GRAVITATIONAL AND MAGNETIC ATTRACTION OF A HOMOGENEOUS RECTANGULAR PRISM *

Abstract

From This Site

Most Read This Month

Most Cited This Month Most Cited RSS feed

The natural combination of full and image‐based waveform inversion

Poststack diffraction imaging using reverse‐time migration

Characterizing the effect of elastic interactions on the effective elastic properties of porous, cracked rocks

Fracture detection by Gaussian beam imaging of seismic data and image spectrum analysis

Laboratory measurements of guided‐wave propagation within a fluid‐saturated fracture

Anisotropic elastic full‐waveform inversion of walkaway vertical seismic profiling data from the Arabian Gulf

Frequency‐dependent multi‐offset phase analysis of surface waves: an example of high‐resolution characterization of a riparian aquifer

A comparison of helicopter‐borne electromagnetic systems for hydrogeologic studies

Mapping of moveout attributes using local slopes

Application of a perfectly matched layer in seismic wavefield simulation with an irregular free surface