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摘要: 从声速的定义出发,由热力学基本关系给出了声速温度系数(偏微商)的一种计算方法,以顽火辉石为例,计算结果显示,在40~140 GPa压力范围内,其纵波、剪切波和体波的温度系数随压力的增大而逐渐减小,分别由40 GPa时的-0.386、-0.251、-0.255 m/(sK)降至80 GPa时的-0.298、-0.188、-0.204 m/(sK),120 GPa时的-0.244、-0.148、-0.175 m/(sK)和140 GPa时的-0.197、-0.131、-0.162 m/(sK)。将这一规律内推至零压得到(dK/dT)0=-0.027 9 GPaK-1,与静高压下的实验值吻合很好。Abstract: A method to calculate the temperature coefficients of sound velocity at high pressure were given, in terms of the definition of sound velocity and thermodynamics. For perovskite-enstatite, the calculated temperature coefficients of compression, shear and bulk wave velocities decease from 0.386, 0.251, 0.255 m/(s#8226;K) at 40 GPa to 0.298, 0.188, 0.204 m/(s#8226;K) at 80 GPa, 0.244, 0.148, 0.175 m/(s#8226;K) at 120 GPa and 0.197, 0.131, 0.162 m/(s#8226;K) at 140 GPa, respectively. Extrapolating these to zero pressure gives (dK/dT)0=-0.027 9 GPaK-1,which is consistent well with the value from hydrostatic experiment.
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