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Quantum-thermodynamic treatment of intrinsic anharmonicity; Wallace’s theorem revisited 总被引：1，自引：0，他引：1
Wallace (in Thermodynamics of crystals, 1972) developed a theorem, rooted in rigid lattice dynamics, which incorporates intrinsic anharmonic effects in solids. The practical
application of this theorem in mineral physics is computationally involved and this is the main reason for the theorem not
getting the attention it deserves. Because intrinsic anharmonicity is an important issue at the extreme conditions in planetary
mantles, we derived a method which removes the computational obstacles in applying this theorem. We extended the theorem to
incorporate details of the phonon spectrum and tested our algorithm on forsterite (Mg2SiO4). Using a least squares inversion technique applied to all available experimental data, we show that it results in an accurate
representation of thermodynamic properties and sound wave velocities of Mg2SiO4 in its complete pressure–temperature stability range. We also show that the accuracy of our results is not significantly
affected by the use of a different equation of state. 相似文献
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D.?A.?GunnEmail author L.?D.?Jones M.?G.?Raines D.?C.?Entwisle P.?R.?N.?Hobbs 《Geotechnical and Geological Engineering》2005,23(6):773-791
The requirement for quantitative thermal property data in assessing the performance of an engineered repository is identified. Experimental methods for the measurement of thermal conductivity, thermal expansivity and heat capacity are outlined and typical test results are presented for two rock-types of interest in relation to the Sellafield site. The controls on the thermal properties are discussed and a series of corrections from the rock material to the rock mass properties are presented. Finally, a correction scheme that accounts for the effect of scale is followed. 相似文献
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Asthenosphere is a venerable concept based on geological intuition of Reginald Daly nearly 100 years ago.There have been various explanations for the existence of the asthenosphere.The concept of a plume-fed asthenosphere has been around for a few years due to the ideas put forth by Yamamoto et al..Using a two-dimensional Cartesian code based on finite-volume method,we have investigated the influences of lower-mantle physical properties on the formation of a low-viscosity zone in the oceanic upper mantle in... 相似文献
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选取中国地壳运动监测网络1998～2018年GPS观测数据,基于插值法计算湖北地区的形变和应变特征。初步研究结果表明,湖北地区地块运动稳定,无明显的形变梯度带,水平运动方向为东向微偏南,速率为5～9 mm/a,平均值为6.2 mm/a;垂直速度场平均值为-0.96 mm/a,以下降运动为主。面膨胀率结果显示,湖北地区具有4个面膨胀高值区和4个面挤压高值区。最大剪应变率场显示,在湖北中部地区形成一个高值环形带,湖北历史地震主要发生在应力应变高值区边缘带。巴东和秭归小震频发与长江三峡水库水位反复加卸载有关,GPS形变和应变无明显对应特征。 相似文献
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The empirical linear relation between volume and logarithm of bulk modulus of a material, discovered by Grover, Getting and
Kennedy is taken as the basis for our equation of state. Using the latest experimental information on the adiabatic bulk modulus,
the equation of state is applied to the three polymorphs of Mg2SiO4 to develop a consistent dataset of their thermodynamic properties in the temperature range of 200–2273 K and a pressure range
of 0.1 MPa–30 GPa. The results imply that the bulk sound velocity contrast (v
β−v
α)/v
α increases with temperature along the α–β phase boundary and reaches the value 8.9% at 13.5 GPa, a pressure equivalent to
410 km depth in the Earth. The bulk sound velocity contrast (v
γ−v
β)/v
β decreases with temperature along the β–γ phase boundary and becomes less than 0.7% at temperatures and pressures equivalent
to those associated with the 520-km seismic discontinuity in the Earth.
Received: 1 August 2000 / Accepted: 1 March 2001 相似文献
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