摘要
本文选取迄今为止最完善的地球模型ＰＲＥＭ，利用它所定义的地球内部基本间断面及所给物质密度和弹性等参数分布，通过求解弹性地幔运动方程，得到形变位移矢量，由此计算出二阶洛夫数。本文的理论值与观测结果符合良好。
The earth being elastic, external forces (lunisolar tidal force, rotational centrifugal force, surface loading etc.) may lead it to elastic deformations. Many coexisting phenomena, such as displacements of points on the earth surface, variations of the gravitational potential of the earth ect.) are caused with the deformations. The deformational effects are related with the perturbational potentials of the external forces through Love numbers, which are dependent on the internal structure and on the elasticity and the density distribution of the matter of the earth. Then, according to an earth model that describes the internal nature of the earth the Love numbers may be theoretically calculated. In this paper, a choice of the Preliminary Reference Earth Model (PREM), the hitherto most excellent one, is made. The principal layers and their parameters of the model are listed in the Tab.1, and shown in fig.1. The displacement vector of a terrestrial point can be expressed as equation (2), in which Wn is the norder potential of perturbational forces and Fn(r), Gn (r) are norder functions to be resolved. By means of the parameters in and between the layers given by the model the equations (13) are resolved numerically in order to get the resolutions of second order F2(r) and G2(r), and finally with the value of ρm, the average density of the earth, and on the crust ξ=0.9995, the second order love numbers h2 and l2 are obtained through the equations (18) and (19). A comparison between our results and those of other authors is made, the results are shown in the Tab.2.
出处
《测绘学报》
EI
CSCD
北大核心
1998年第3期246-251,共6页
Acta Geodaetica et Cartographica Sinica
基金
国家攀登计划资助
国家自然科学基金
关键词
地球模型
弹性地幔
形变位移
洛夫数
Earth model, Elastic mantle, Deformational Displacement, Love numbers
