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Dynamic topography and gravity anomalies for fluid layers whose viscosity varies exponentially with depthAdopting the formalism of Parsons and Daly (1983), analytical integral equations (Green's function integrals) are derived which relate gravity anomalies and dynamic boundary topography with temperature as a function of wavenumber for a fluid layer whose viscosity varies exponentially with depth. In the earth, such a viscosity profile may be found in the asthenosphere, where the large thermal gradient leads to exponential decrease of viscosity with depth, the effects of a pressure increase being small in comparison. It is shown that, when viscosity varies rapidly, topography kernels for both the surface and bottom boundaries (and hence the gravity kernel) are strongly affected at all wavelengths.
Document ID
19870063001
Document Type
Reprint (Version printed in journal)
Authors
Revenaugh, Justin (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Parsons, Barry (MIT Cambridge, MA, United States)
Date Acquired
August 13, 2013
Publication Date
August 1, 1987
Publication Information
Publication: Geophysical Journal
Volume: 90
ISSN: 0016-8009
Subject Category
GEOPHYSICS
Funding Number(s)
CONTRACT_GRANT: NSF EAR-83-206241
CONTRACT_GRANT: NAG5-415
Distribution Limits
Public
Copyright
Other