Evaluating spherical Earth gravity tensor gradients by Gauss-Legendre quadrature integration

Details Evaluating spherical Earth gravity tensor gradients by Gauss-Legendre quadrature integration Evaluating spherical Earth gravity tensor gradients by Gauss-Legendre quadrature integration

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufm.g33c0053a&link_type=abstract

American Geophysical Union, Fall Meeting 2005, abstract #G33C-0053

Statistics

Computation

0545 Modeling (4255), 0903 Computational Methods: Potential Fields (1214), 0920 Gravity Methods (1219), 1219 Gravity Anomalies And Earth Structure (0920, 7205, 7240), 3225 Numerical Approximations And Analysis (4260)

Scientific paper

Satellite-measured regional gravity and terrain elevation data are becoming increasingly available for improving our understanding of the geologic properties and history of the Earth, Moon, Mars, Venus and other planets. In assessing the geological significance of the existing and growing volumes of these regional data sets, there is great need for computing theoretical anomalous gravity fields from geologic models in spherical coordinates. In the present study, we explicitly develop the elegant Gauss-Legendre quadrature formulation for numerically modeling the complete gravity effects (i.e., potential, vector and tensor gradient field) of the spherical prism. As an application, we investigate the gradient components of the isostatic gravity anomalies that ESA's upcoming Gravity Field and Steady State Ocean Circulation Explorer (GOCE) satellite mission is likely to map over a large tectonically active region of the Middle East centered on Iran.

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