Effects from equation of state and rheology in dissipative heating in compressible mantle convection
Effects from equation of state and rheology in dissipative heating in compressible mantle convection
复制标题
状态方程和流变学对可压缩地幔对流耗散加热的影响
作者：
D. Yuen;F. Quareni;H.
地球内部的热分布受许多因素的影响。最不被理解和研究的过程之一是由绝热加热和粘性耗散引起的过程。除了Jarvis和McKenzie1的工作外，很少有人研究可压缩性对地幔环流的影响。对于地球物理学家来说，在由Boussinesq(不可压缩)方程得到的温度剖面上加上绝热温度梯度是很常见的。最近用平均场方法3表明，在诸如活化体积等流变学参数和控制绝热加热的热力学常数之间存在着强耦合。这里我们指出了在能量方程的耗散加热项中考虑状态方程和流变学的影响所带来的重要结果。我们清楚地展示了压缩可以提高地幔内部温度的方式，并说明了这种效应如何反过来被用来约束与地幔状态方程有关的一些内禀参数。
The thermal profile in the Earth's interior is influenced by many factors. One of the least understood and studied processes is that resulting from adiabatic heating and viscous dissipation. With the exception of the work by Jarvis and McKenzie1 very little has been done on the effects of compressibility on mantle circulation. It is quite common for geophysicists to add the adiabatic temperature gradient a posteriori2 to temperature profiles derived from Boussinesq (incompressible) equations. Recently it has been shown3 with the mean-field method4 that there exists a strong coupling between the Theological parameters, such as the activation volume, and the thermodynamic constants governing adiabatic heating. Here we point out the important consequences brought about by incorporating the effects of equations of state and rheology in the dissipative heating term of the energy equation. We demonstrate explicitly the ways in which compression may raise the interior mantle temperature and illustrate how this effect can, in turn, be used for constraining some of the intrinsic parameters associated with the equation of state in the mantle.