Forward modelling of geophysical survey data using cylindrical elemental volumes

X. Xu; N.A. Lockerbie

doi:10.1007/BF02724558

Forward modelling of geophysical survey data using cylindrical elemental volumes

X. Xu, N.A. Lockerbie

Physics

Research output: Contribution to journal › Article

Abstract

A simple model is presented for the gravitational field due to a finite cylinder, and this is elaborated so that (in principle) the gravitational field from a body of any shape may be found in terms of the field of such primitive cylinders. The primitive field is described as a moment-expansion in terms of odd-order Legendre polynomials P-2p+1 (cos theta), p=0, 1, 2,..., where theta is the angle between the field point and the cylinder's axis, and in terms of the radial distance R of the field point from the centre of mass of the cylinder, such that the parameters describing the shape of the cylinder, and the field point parameters, are separated. This allows gravitational field modelling calculations to be carried out extremely quickly in the space domain for gravitational sources of any shape. Moreover, the form of the solutions-due to the separation mentioned above-allows a clear insight into the underlying physical mechanisms involved in the synthesis of such fields, making such elements suitable in the solution of inverse gravitational problems in the space domain, as well.

Language	English
Pages	497-506
Number of pages	9
Journal	Nuovo Cimento B
Volume	111
Issue number	4
DOIs	10.1007/BF02724558
Publication status	Published - Apr 1996

Fingerprint

gravitational fields

Legendre functions

center of mass

moments

expansion

synthesis

Keywords

gravitational field modelling calculations
gravitational sources
inverse gravitational problems

Cite this

Xu, X., & Lockerbie, N. A. (1996). Forward modelling of geophysical survey data using cylindrical elemental volumes. Nuovo Cimento B, 111(4), 497-506. https://doi.org/10.1007/BF02724558

Xu, X. ; Lockerbie, N.A. / Forward modelling of geophysical survey data using cylindrical elemental volumes. In: Nuovo Cimento B. 1996 ; Vol. 111, No. 4. pp. 497-506.

@article{69792cf12a5347f7bcd0709600b596fe,

title = "Forward modelling of geophysical survey data using cylindrical elemental volumes",

abstract = "A simple model is presented for the gravitational field due to a finite cylinder, and this is elaborated so that (in principle) the gravitational field from a body of any shape may be found in terms of the field of such primitive cylinders. The primitive field is described as a moment-expansion in terms of odd-order Legendre polynomials P-2p+1 (cos theta), p=0, 1, 2,..., where theta is the angle between the field point and the cylinder's axis, and in terms of the radial distance R of the field point from the centre of mass of the cylinder, such that the parameters describing the shape of the cylinder, and the field point parameters, are separated. This allows gravitational field modelling calculations to be carried out extremely quickly in the space domain for gravitational sources of any shape. Moreover, the form of the solutions-due to the separation mentioned above-allows a clear insight into the underlying physical mechanisms involved in the synthesis of such fields, making such elements suitable in the solution of inverse gravitational problems in the space domain, as well.",

keywords = "gravitational field modelling calculations, gravitational sources, inverse gravitational problems",

author = "X. Xu and N.A. Lockerbie",

year = "1996",

month = "4",

doi = "10.1007/BF02724558",

language = "English",

volume = "111",

pages = "497--506",

journal = "Nuovo Cimento B",

issn = "0369-3554",

number = "4",

}

Xu, X & Lockerbie, NA 1996, 'Forward modelling of geophysical survey data using cylindrical elemental volumes' Nuovo Cimento B, vol. 111, no. 4, pp. 497-506. https://doi.org/10.1007/BF02724558

Forward modelling of geophysical survey data using cylindrical elemental volumes. / Xu, X.; Lockerbie, N.A.

In: Nuovo Cimento B, Vol. 111, No. 4, 04.1996, p. 497-506.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Forward modelling of geophysical survey data using cylindrical elemental volumes

AU - Xu, X.

AU - Lockerbie, N.A.

PY - 1996/4

Y1 - 1996/4

N2 - A simple model is presented for the gravitational field due to a finite cylinder, and this is elaborated so that (in principle) the gravitational field from a body of any shape may be found in terms of the field of such primitive cylinders. The primitive field is described as a moment-expansion in terms of odd-order Legendre polynomials P-2p+1 (cos theta), p=0, 1, 2,..., where theta is the angle between the field point and the cylinder's axis, and in terms of the radial distance R of the field point from the centre of mass of the cylinder, such that the parameters describing the shape of the cylinder, and the field point parameters, are separated. This allows gravitational field modelling calculations to be carried out extremely quickly in the space domain for gravitational sources of any shape. Moreover, the form of the solutions-due to the separation mentioned above-allows a clear insight into the underlying physical mechanisms involved in the synthesis of such fields, making such elements suitable in the solution of inverse gravitational problems in the space domain, as well.

AB - A simple model is presented for the gravitational field due to a finite cylinder, and this is elaborated so that (in principle) the gravitational field from a body of any shape may be found in terms of the field of such primitive cylinders. The primitive field is described as a moment-expansion in terms of odd-order Legendre polynomials P-2p+1 (cos theta), p=0, 1, 2,..., where theta is the angle between the field point and the cylinder's axis, and in terms of the radial distance R of the field point from the centre of mass of the cylinder, such that the parameters describing the shape of the cylinder, and the field point parameters, are separated. This allows gravitational field modelling calculations to be carried out extremely quickly in the space domain for gravitational sources of any shape. Moreover, the form of the solutions-due to the separation mentioned above-allows a clear insight into the underlying physical mechanisms involved in the synthesis of such fields, making such elements suitable in the solution of inverse gravitational problems in the space domain, as well.

KW - gravitational field modelling calculations

KW - gravitational sources

KW - inverse gravitational problems

UR - http://dx.doi.org/10.1007/BF02724558

U2 - 10.1007/BF02724558

DO - 10.1007/BF02724558

M3 - Article

VL - 111

SP - 497

EP - 506

JO - Nuovo Cimento B

T2 - Nuovo Cimento B