Evidence supporting the approximation γρ = const for the Grüneisen parameter of the Earth's lower mantle
Evidence supporting the approximation γρ = const for the Grüneisen parameter of the Earth's lower mantle
复制标题
支持地球下地幔 Grüneisen 参数近似值 γρ = const 的证据
DOI：
10.1029/jb084ib07p03537
复制
发表时间：
1979
影响因子：
--
通讯作者：
O. Anderson
中科院分区：
文献类型：
--
作者：
O. Anderson
一直没有统一接受的一个理论公式的Gruneisen参数公式超过另一个。一位作者将格吕尼森函数应用于地球内部的温度计算在某种程度上是武断的，或者至少被其他人怀疑。本文仅用地球的地震资料，提出了一个论点，支持下地幔的一个可接受的经验定律是
其中γ是Gruneisen参数，ρ是密度，其中q接近于1。由于压缩的范围，在经验公式中，为了简单起见，取q恰好为1不会产生很大的误差。然而，基于地震数据，在频带0.8 < q < 2.2中的任何地方的q值都是可接受的。假定γρ =常数，则αKT与温度和压力无关，因而与下地幔深度无关。术语α是体积热膨胀系数，KT是等温体积模量。
There has been no uniform acceptance of one theoretical formulation of the Gruneisen parameter formula over another. The application of a Gruneisen function to the earth's interior for temperature calculations by one author has been to some extent arbitrary, or at least held in doubt by others. In this paper, using only the seismic data of the earth, an argument is presented which supports the contention that an acceptable empirical law for the lower mantle is
where γ is the Gruneisen parameter and ρ is the density, where q is close to unity. Because of the range of the compression, no great error is made by taking q to be exactly unity for simplicity in the empirical formulae. However, a value of q anywhere in the band 0.8 < q < 2.2 is acceptable on the basis of the seismic data. By assuming the rule γρ = const, it is shown that it follows that αKT is independent of temperature and pressure and therefore depth in the lower mantle. The term α is the volume thermal expansivity, and KT is the isothermal bulk modulus.