Open AccessSpherical prism magnetic effects by Gauss–Legendre quadrature integration
Author(s) -
Asgharzadeh M. F.,
Von Frese R. R. B.,
Kim H. R.
Publication year - 2008
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2007.03692.x
Subject(s) - gauss , geology , geodesy , magnetic field , geophysics , prism , gaussian quadrature , legendre polynomials , numerical integration , magnetic anomaly , geometry , physics , mathematical analysis , mathematics , integral equation , optics , nyström method , quantum mechanics
SUMMARY Regional spherical coordinate observations of the Earth's crustal magnetic field components are becoming increasingly available from shipborne, airborne, and satellite surveys. In assessing the geological significance of these data, theoretical anomalous magnetic fields from geologic models in spherical coordinates need to be evaluated. This study explicitly develops the elegant Gauss–Legendre quadrature formulation for numerically modelling the complete magnetic effects (i.e. potential, vector and tensor gradient fields) of the spherical prism. We also use these results to demonstrate the magnetic effects for the crustal prism and to investigate the crustal magnetic effects at satellite altitudes for a large region of the Middle East centred on Iran.