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Non-equilibrium Effects of Core-cooling and Time-dependent Internal Heating on Mantle Flush Events : Volume 2, Issue 3/4 (30/11/-0001)

By Yuen, D. A.

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Book Id: WPLBN0003981474
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: Non-equilibrium Effects of Core-cooling and Time-dependent Internal Heating on Mantle Flush Events : Volume 2, Issue 3/4 (30/11/-0001)  
Author: Yuen, D. A.
Volume: Vol. 2, Issue 3/4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Balachandar, S., Smedsmo, J. J., Steinbach, V. C., Reuteler, D. M., Lauer, G. S., Yuen, D. A., & Honda, S. (-0001). Non-equilibrium Effects of Core-cooling and Time-dependent Internal Heating on Mantle Flush Events : Volume 2, Issue 3/4 (30/11/-0001). Retrieved from

Description: Dept. Geology, Geophysics and Minnesota Supercomputer Inst., Univ. of Minnesota, Minneapolis, MN 55415-1227, USA. We have examined the non-equilibrium effects of core-cooling and time-dependent internal-heating on the thermal evolution of the Earth's mantle and on mantle flush events caused by the two major phase transitions. Both two- and three-dimensional models have been employed. The mantle viscosity responds to the secular cooling through changes in the averaged temperature field. A viscosity which decreases algebraically with the average temperature has been considered. The time-dependent internal-heating is prescribed to decrease exponentially with a single decay time. We have studied the thermal histories with initial Rayleigh numbers between 2 x 107 and 108 . Flush events, driven by the non-equilibrium forcings, are much more dramatic than those produced by the equilibrium boundary conditions and constant internal heating. Multiple flush events are found under non-equilibrium conditions in which there is very little internal heating or very fast decay rates of internal-heating. Otherwise, the flush events take place in a relatively continuous fashion. Prior to massive flush events small-scale percolative structures appear in the 3D temperature fields. Time-dependent signatures, such as the surface heat flux, also exhibits high frequency oscillatory patterns prior to massive flush events. These two observations suggest that the flush event may be a self-organized critical phenomenon. The Nusselt number as a function of the time-varying Ra does not follow the Nusselt vs. Rayleigh number power-law relationship based on equilibrium (constant temperature) boundary conditions. Instead Nu(t) may vary non-monotonically with time because of the mantle flush events. Convective processes in the mantle operate quite differently under non-equilibrium conditions from its behaviour under the usual equilibrium situations.

Non-equilibrium effects of core-cooling and time-dependent internal heating on mantle flush events


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