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On the gravitational potential and field anomalies due to thin mass layersThe gravitational potential and field anomalies for thin mass layers are derived using the technique of matched asymptotic expansions. An inner solution is obtained using an expansion in powers of the thickness and it is shown that the outer solution is given by a surface distribution of mass sources and dipoles. Coefficients are evaluated by matching the inner expansion of the outer solution with the outer expansion of the inner solution. The leading term in the inner expansion for the normal gravitational field gives the Bouguer formula. The leading term in the expansion for the gravitational potential gives an expression for the perturbation to the geoid. The predictions given by this term are compared with measurements by satellite altimetry. The second-order terms in the expansion for the gravitational field are required to predict the gravity anomaly at a continental margin. The results are compared with observations.
Document ID
19770048221
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Ockendon, J. R.
(Cornell University Ithaca, N.Y.; Oxford University, Oxford, United Kingdom)
Turcotte, D. L.
(Cornell University Ithaca, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
March 1, 1977
Publication Information
Publication: Geophysical Journal
Volume: 48
Issue: 3, Ma
Subject Category
Geophysics
Accession Number
77A31073
Funding Number(s)
CONTRACT_GRANT: NSG-5060
Distribution Limits
Public
Copyright
Other

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