Characteristic time of thermal and diffusional relaxation

O. Aryasova, Ya. Khazan

Abstract


It is shown that frequently used dimensional estimation of a layer thermal relaxation time, tr, as L2/κ based on the layer thickness, L, and thermal diffusivity, κ, strongly overestimates tr. The correct estimate tr=L22κ should contain a factor of 1/π2 which is of the order of 0.1.


Keywords


characteristic time; thermal relaxation

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References


Artemieva I. M., 2009. The continental lithosphere: Reconciling thermal, seismic, and petrologic data. Lithos 109(12), 23—46.

Hirth G., Kohlstedt D. L., 2003. Rheology of the upper mantle and the mantle wedge: A view from the experimentalists. In: Inside the Subduction Factory. Vol. 138. Geophys. Monogr. Ser. Р. 83—105.

Khazan Yа. M., Aryasova O. V., 2014. Stability of the boundary layer between the lithosphere and convecting mantle and the steady-state lithospheric geotherm. Izvestiya, Physics of the Solid Earth. 50(4), 543—561.




DOI: https://doi.org/10.24028/gzh.0203-3100.v37i6.2015.111174

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