| 基于地球简正模理论的Love数计算 |
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| 引用本文： | 秦 明,周江存,韩保民.基于地球简正模理论的Love数计算[J].大地测量与地球动力学,2018,38(9):908-912. |
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| 作者姓名： | 秦 明 周江存 韩保民 |
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| 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。
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| 关 键 词： | Love数 地球简正模 位移场 重力场 |
Computation of Love Numbers by the Normal Mode Method |
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| QIN Ming,ZHOU Jiangcun,HAN Baomin.Computation of Love Numbers by the Normal Mode Method[J].Journal of Geodesy and Geodynamics,2018,38(9):908-912. |
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| Authors: | QIN Ming ZHOU Jiangcun HAN Baomin |
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| Abstract: | 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. |
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| Keywords: | Love numbers normal mode of the Earth displacement field gravity field |
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