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Spherical prism magnetic effects by Gauss–Legendre quadrature integration
Authors:M F Asgharzadeh  R R B von Frese  H R Kim
Institution:School of Earth Sciences, Ohio State University, Columbus, OH, 43210,;USA. E-mail: Goddard Earth Sciences &Technology Center, University of Maryland, Baltimore County, GSFC/NASA, Greenbelt, MD, 20771,;USA
Abstract: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.
Keywords:Magnetic anomalies: modelling and interpretation  Satellite magnetics  Planetary tectonics
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