Mathematics – Logic
Scientific paper
Oct 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996e%26psl.144...41b&link_type=abstract
Earth and Planetary Science Letters, Volume 144, Issue 1-2, p. 41-51.
Mathematics
Logic
41
Scientific paper
One of the more enigmatic features of the Earth's style of mantle convection is plate tectonics itself, in particular the existence of strike-slip, or toroidal, motion. Toroidal motion is uncharacteristic of basic thermal convection, but necessarily forms through the interaction of convective flow and nonlinear rheological mechanisms. Recent studies have implied that the empirically determined power-law rheologies of mantle silicates are not sufficient to generate the requisite toroidal motion. A simple source-sink model of mantle or lithospheric flow shows that dynamic self-lubrication, which arises through the coupling of viscous heating and temperature-dependent viscosity, is highly successful at generating strike-slip motion. In particular, as the viscosity of the fluid system becomes more temperature dependent, the toroidal flow field makes an abrupt transition from a state of weak, unplate-like motion to a state with intense and extremely focused structure. In essence, the fluid dynamical model develops strike-slip faults.
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