Numerical experiments on the onset of convective instability in the Earth's mantle |
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| Authors: | Greg Houseman Dan P McKenzie |
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| Institution: | University of Cambridge, Buliard Laboratories, Department of Earth Sciences, Madingley Rise, Madingley Road, Cambridge CB3 OEZ |
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| Abstract: | Summary. A simplified model of convection in the mantle is used to investigate the transient effect of cooling a fluid layer from above, The model, representing the mantle overlain by the lithosphere, consists of a two-dimensional fluid layer overlain by a solid conducting lid. The initial temperature of both layers is the same, with the top surface of the lid kept at 0°C throughout. We observe the onset of small-scale flow in the model. In the absence of internal heating the behaviour of the system is controlled by the Rayleigh number, R , and the ratio of the thicknesses of the two layers, a . The onset time of convection as defined by reference to conduction temperature profiles is related simply to a boundary layer critical Rayleigh number. The mean temperature profiles for the convection model are also compared with the observed depth—age relation for oceanic lithosphere and the results are used to estimate the viscosity of the mantle. |
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