Thermoelastic properties of the earth lower mantle
Abstract
For investigating the pressure dependence of thermal expansivity of materials, we have developed a formulation using the Stacey relationship between the reciprocal of pressure derivative of bulk modulus and the ratio of pressure and bulk modulus. The formulation presented here satisfies the boundary conditions both at zero pressure and also in the limit of infinite pressure at extreme compression. A physically acceptable relationship has been obtained between the volume derivative of thermal expansivity and the pressure derivatives of bulk modulus under adiabatic condition. The seismological data for the Earth lower mantle have been used to demonstrate the validity of the relationship between thermoelastic properties derived in the present study.
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