基于地球简正模理论的Love数计算  

Computation of Love Numbers by the Normal Mode Method

作　　者：秦明 周江存[2,3] 韩保民 QIN Ming;ZHOU Jiangcun;HAN Baomin(School of Architecture Engineering,Shandong University of Technology,12 Zhangzhou Road,Zibo 255000,China;State Key Laboratory of Geodesy and Earth’s Dynamics,Institute of Geodesy and Geophysics,CAS, 340 Xudong Road,Wuhan 430077,China;University of Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China)

机构地区：[1]山东理工大学建筑工程学院,山东省淄博市张周路12号255000 [2]中国科学院测量与地球物理研究所大地测量与地球动力学国家重点实验室,武汉市徐东大街340号430077 [3]中国科学院大学,北京市玉泉路19号甲100049

出　　处：《大地测量与地球动力学》2018年第9期908-912,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41621091;41374025)~~

摘　　要：基于地球简正模理论,深入研究球对称、非自转、弹性、各向同性地球模型下,地球受到不同外力作用(体力和面力)而发生变形引起的位移场和外部空间重力场的变化;推导计算潮汐Love数、负荷Love数、正应力和剪应力Love数的计算公式,揭示简正模与Love数之间的内在联系;利用PREM地球模型计算地表的不同Love数,并与由常规的解微分方程组的数值积分方法获得的结果进行比较。结果表明,两者具有很好的一致性,说明公式的正确性。Making use of the normal mode theory of the Earth,this paper studies the variations of the displacement field in the Earth’s interior and of the gravity field in the Earth’s exterior due to deformation caused by different external forces,including body and surface ones for a spherically symmetric,non-rotating,elastic and isotropic(SNREI)Earth.The operational formulas,indicating the intrinsic relation between normal modes and Love numbers,are derived to compute the Love numbers of various deformation problems of the Earth,such as tide,surface loading,as well as those due to pressure and shear forces.The numerical results demonstrate that the calculated Love numbers are in good agreement with the values derived by the numerical integration method,which validates the derived operational formulas.

关 键 词：LOVE数 地球简正模 位移场 重力场 

分 类 号：P315[天文地球—地震学]