Deformation due to surface temperature variation on a spherically layered, transversely isotropic and self-gravitating Earth
Deformation due to surface temperature variation on a spherically layered, transversely isotropic and self-gravitating Earth
复制标题
球状分层、横观各向同性和自引力地球上由于表面温度变化而产生的变形
DOI：
10.1093/gji/ggab056
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发表时间：
2021-03
影响因子：
2.8
通讯作者：
Bevis Michael
中科院分区：
文献类型：
--
作者：
Zhou Jiangcun;Pan Ernian;Bevis Michael
我们提出了一个现代的、热致地球形变的理论。将热传导方程与标准弹性变形理论相耦合，构造了一个由八阶微分方程组组成的边值问题。采用精确稳定的对偶变量和位置传播矩阵技术求解边值问题。定义了热载荷Love数来描述由热诱导变形所驱动的位移和势的变化。通过与本文推导的均匀球体的精确解进行比较，验证了所提出的分析方法的正确性。然后将该分析方法应用于一个真实的地球模型，以评估地球的分层和自引力对位移和势的变化的影响。此外，通过在计算中调用不同的热周期来说明热负荷中的频率依赖性。通过比较各向同性地球模型和横观各向同性地球模型的结果，也考虑了热各向异性。结果表明，当模拟热致变形时，调用均匀的球形地球导致的结果与使用更真实的地球模型得到的结果有很大不同。
We present a theory of modern, thermally induced deformation in a realistic Earth. The heat conduction equation is coupled with standard elastic deformation theory to construct a boundary-value problem comprised of eighth-order differential equations. The accurate and stable dual variable and position propagating matrix technique is introduced to solve the boundary-value problem. The thermal load Love numbers are defined to describe the displacements and potential changes driven by thermally induced deformation. The proposed analytical method is validated by comparing the present results with exact solutions for a homogeneous sphere, which are also derived in this paper. The analytical method is then applied to a realistic Earth model to evaluate the effects of layering and self-gravitation of the Earth on displacement and changes of potential. Furthermore, the frequency dependence in the thermal load is illustrated by invoking different thermal periodicities in the computation. Thermal anisotropy is also considered by comparing the results obtained using isotropic and transversely isotropic Earth models. Results show that, when simulating thermally induced deformation, invoking a homogeneous spherical Earth leads to results that substantially differ from those obtained using a more realistic Earth model.
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影响因子：
3.9
作者：
Dong, D;Fang, P;Miyazaki, S
通讯作者：
Miyazaki, S
质心静止的均匀弹性球体上由于表面温度变化而产生的位移
影响因子：
2.8
作者：
Fang, Ming;Dong, Danan;Hager, Bradford H.
通讯作者：
Hager, Bradford H.
影响因子：
2.8
作者：
J. Zhou;E. Pan;M. Bevis
通讯作者：
J. Zhou;E. Pan;M. Bevis
DOI：
10.4294/jpe1952.22.123
发表时间：
1974
期刊：
Journal of physics of the earth
影响因子：
--
作者：
M. Saito
通讯作者：
M. Saito
影响因子：
3.7
作者：
Wenke Sun;L. Sjöberg
通讯作者：
Wenke Sun;L. Sjöberg