Spherical earth gravity and magnetic anomaly analysis by equivalent point source inversion

Details Spherical earth gravity and magnetic anomaly analysis by equivalent point source inversion Spherical earth gravity and magnetic anomaly analysis by equivalent point source inversion

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981e%26psl..53...69v&link_type=abstract

Earth and Planetary Science Letters, vol. 53, no. 1, Mar. 1981, p. 69-83.

Computer Science

Sound

51

Earth Gravitation, Geomagnetism, Geopotential, Gravitational Fields, Gravity Anomalies, Magnetic Anomalies, Point Sources, Potential Fields, Fourier Transformation, Inversions, Linear Equations, Linear Transformations, Planetary Gravitation, Satellite Sounding, Spheres

Scientific paper

To facilitate geologic interpretation of satellite elevation potential field data, analysis techniques are developed and verified in the spherical domain that are commensurate with conventional flat earth methods of potential field interpretation. A powerful approach to the spherical earth problem relates potential field anomalies to a distribution of equivalent point sources by least squares matrix inversion. Linear transformations of the equivalent source field lead to corresponding geoidal anomalies, pseudo-anomalies, vector anomaly components, spatial derivatives, continuations, and differential magnetic pole reductions. A number of examples using 1 deg-averaged surface free-air gravity anomalies of POGO satellite magnetometer data for the United States, Mexico, and Central America illustrate the capabilities of the method.

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