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On the penetration of a hot diapir through a strongly temperature-dependent viscosity mediumThe ascent of a hot spherical body through a fluid with a strongly temperature-dependent viscosity has been studied using an axisymmetric finite element method. Numerical solutions range over Peclet numbers of 0.1 - 1000 from constant viscosity up to viscosity variations of 100,000. Both rigid and stress-free boundary conditions were applied at the surface of the sphere. The dependence of drag on viscosity variation was shown to have no dependence on the stress boundary condition except for a Stokes flow scaling factor. A Nusselt number parameterization based on the stress-free constant viscosity functional dependence on the Peclet number scaled by a parameter depending on the viscosity structure fits both stress-free and rigid boundary condition data above viscosity variations of 100. The temperature scale height was determined as a function of sphere radius. For the simple physical model studied in this paper pre-heating is required to reduce the ambient viscosity of the country rock to less than 10 to the 22nd sq cm/s in order for a 10 km diapir to penetrate a distance of several radii.
Document ID
19860040629
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Daly, S. F.
(MIT Cambridge, MA, United States)
Raefsky, A.
(Stanford University CA, United States)
Date Acquired
August 12, 2013
Publication Date
December 1, 1985
Publication Information
Publication: Geophysical Journal
Volume: 83
ISSN: 0016-8009
Subject Category
Geophysics
Accession Number
86A25367
Funding Number(s)
CONTRACT_GRANT: NAG5-145
Distribution Limits
Public
Copyright
Other

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