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1.
液核动力学扰动引起的地球形变   总被引:2,自引:0,他引:2       下载免费PDF全文
徐建桥  孙和平 《地震学报》2002,24(4):397-406
讨论了地球固体部分对液核动力学效应引发的核幔边界和内核边界上压力和引力扰动的形变响应.采用弹性-引力形变理论描述地幔和内核的形变,给出了内部负荷Love数的一般表达式.以初始参考地球模型为例,分别计算了在地球表面、核幔边界和内核边界上的内部负荷Love数.探讨了液核边界上压力和引力扰动导致的地球形变场的空间和频率分布特征.本文的结果可以为中短周期液核动力学理论模拟提供必要的边界条件.   相似文献   

2.
液核自由运动的变分方法   总被引:2,自引:0,他引:2       下载免费PDF全文
从流体静力平衡地球的弹性-引力运动动量方程出发,以角动 量方程控制弹性地幔、液态外核和弹性内核之间的相对转动,在球对称近似下考虑了地幔和 内核对液核边界扰动的形变响应,并以此作为液核边界运动的约束条件.根据地球简正模对 称性的一般特征,建立了自转、非黏性、椭球分层流体外核自由振荡运动的变分原理并给出 了相应的泛函.  相似文献   

3.
SNRVEI地球模型连续分布的简正模及其意义   总被引:5,自引:1,他引:5       下载免费PDF全文
基于Peltier等建立的粘弹地球表面负荷形变理论,运用简正模分析法,实现了SNRVEI粘弹地球模型表面负荷勒夫数从拉氏域至时间域的变换.数值结果印证了韩大仲关于真实地球存在“连续分布的简正模”的结论,同时还表明在保证较高计算精度前提下,为便于计算,将地球核慢边界以上部分划分成较少个物性均匀层是可行的.本文的方法和结果经过数值检验,可用于冰后相对海平面变化、地球自转非潮汐加速度变化等地表负荷均衡动态响应观测量的研究.  相似文献   

4.
详细讨论了地球自转的天文地球动力学效应,地极移动和日长变化导致地球引力位系数产生时变特性并引起重力的摄动,根据理论力学的基本概念,导出了由于地球自转变化引起的地球引力位系数变化、重力摄动、垂线偏差和地球形变的表达式,并定量地研究了极移和日长变化对测站重力观测值和地球形变的影响,建议在高精度的空间大地测量中要顾及到地球自转变化引起的一系列效应。  相似文献   

5.
地球和月球的弹性潮汐形变解   总被引:3,自引:0,他引:3       下载免费PDF全文
本文根据一个由较新的月震、月球形状、月球重力及月球天平动资料所建立的真实月球内部结构模型,解算了在地球和太阳的引潮力作用下月球表面的弹性潮汐形变。得到了表征月球弹性潮汐形变的特征数--月球勒夫数。这个结果与国外一些学者采用假想或简单月球模型所得结果有较大不同。同时,本文还根据近年来出现的新的地球模型,再次求解了地球的静态勒夫数。结果表明,采用不同的地球模型对解算地球的静态弹性潮汐形变的结果影响很小。  相似文献   

6.
内核地球的自转运动和地球固定参考系的研究   总被引:4,自引:4,他引:0       下载免费PDF全文
本文研究了内核地球模型下的地球表面的旋转运动和地球形变场的复数矢量球函数表示,以及外壳固定参考架、地球参考系的理论定义和它们之间等价性的理论证明.同时给出了液体外核(FOC)、固体内核(SIC)和整体地球的转动惯量张量和角动量的具体表达式.在考虑到引潮力位对地球形变场的影响下,研究了地幔相对角动量的具体表述.本文的工作是对前人有关理论的扩展和改进,对进一步研究内核地球自转的动力学理论是非常重要的.  相似文献   

7.
SNREI地球模型负荷勒夫数数值计算的新进展   总被引:8,自引:4,他引:8       下载免费PDF全文
基于Longman和Farrell的表面负荷形变理论,深入研究计算SNREI弹性地球模型表面负荷勒夫数的数值计算方法,取得新的进展:采用了一种新的代换方法─r ̄n因子法,比传统的无量纲化法简单易行,且能达到很高的计算精度;确立了检验表面边界条件、微分方程积分线性性和计算结果的收敛性,用于评价数值计算结果精度的有效准则;给出了PREM地球模型的一组高精度计算结果.  相似文献   

8.
1.计算方法根据自由振荡理论,质量负荷作用下的地球形变平衡方程形式为■式中u和v表示球坐标系中r和θ方向的位移量,ρ_0=ρ_0(r)、g_0=g_0(r)为形变前的地球密度场和引力加速度,ψ为质量附加扰动位ψ_1和直接作用于地球的扰动位ψ_2之和,(?)为体胀系数,λ(r)、μ(r)、e_(?)(?)、e_(?)(?)、e_(?)(?)和e_φφ分别为拉梅常数和应变分量。扰动位ψ满足泊松方程  相似文献   

9.
利用谱元法计算SNREI地球的表面负荷变形   总被引:1,自引:0,他引:1       下载免费PDF全文
谱元法作为一种基于变分原理的数值方法,已经成为地球动力学数值模拟的重要手段.本文旨在对Martinec(2000)正演模拟表面负荷问题的谱-有限元方法进行改进.简单地介绍了谱元法计算负荷边值问题的相关理论,并推导了中性分层液体中的平衡方程以及其对应的弱形式解.在地球半径方向上,采取高阶样条函数作为负荷解的基函数,并利用高斯-勒让德方法进行数值积分.均质地球模型数值试验表明,相较于Martinec的方法,本文方法可以有效地加快数值解的收敛速度.最后,利用PREM模型计算了SNREI地球的负荷勒夫数.数值计算结果表明本文方法的收敛性和稳定性都非常好.本文方法获得的负荷勒夫数与采用传统龙格-库塔积分方法获得的结果相对误差在0.01%的量级.  相似文献   

10.
地下水潮汐现象的物理机制和统一数学方程   总被引:8,自引:0,他引:8       下载免费PDF全文
用新的分层承压含水层模式 ,不但考虑含水层的力学压缩性质 ,而且考虑含水层的渗流特性 ,并结合扰动信息源的频率特性 ,分别研究扰动源地球固体潮、大气潮和地表负荷潮对承压井水位和流量的影响机理 ,给出相应的偏微分方程。从方程的解释或数值解讨论扰动源与承压井含水层的力学压缩参数、渗流特性参数及与频率特性频数的关系 ,进而给出承压井水位和流量对地球固体潮、大气潮和地表负荷潮汐响应的统一数学方程及其潮汐响应函数 ,并揭示了上述几类潮汐扰动信息源对承压井水位和流量影响的物理机理  相似文献   

11.
本文研究了液核地球对日月引潮力位球谐函数项的变形响应,即周日固体潮。作为数值结果,计算了1066A地球模型的周日潮汐勒夫数。所建立的周日固体潮理论模型改进了Molodensky液核动力学理论模型。为了比较两者之间的差异,还根据Molodensky理论模型计算了1066A地球模型的周日潮汐勒夫数。  相似文献   

12.
Earth tides     
The main geometrical characteristics and mechanical properties of bodily tides are described, using the convenient elastic parameters of Love. The problem of the Earth's deformation is a problem of spherical elasticity of the sixth order. The importance of Earth tides in astronomy and geophysics is emphasized by their relation to the precession-nutation and tesseral tidal problems, the secular retardation of the Earth's speed of rotation due to the dissipation of energy in sectorial tides, the periodic variations of the speed of rotation due to zonal tides, the satellite orbit perturbations due to the Earth's potential variation, and the radial deformations in laser distance measurements. The possibility that dynamical effects would be produced in the Earth's liquid core was pointed out by Poincaré and developed by Jeffreys, Vicente, and Molodensky. An experimental confirmation is presented here. The role of the Earth tide phenomenon in gravimetry and oceanography is also described, as are the perturbing effects due to regional tectonic features. Instrumental developments are critical in the acquisition of precise data; the calibration problem is fundamental for a correct comparison with Earth models.  相似文献   

13.
Introduction The fluid outer core separates the solid inner core from the solid elastic mantle, and as a result, makes the free and forced movement of this mechanical system more complicated and profuse. As the elastic mantle, the free oscillations may occur within the Earths fluid outer core (FOC) due to excitation of a strong and deep earthquake (Crossley, 1975b; Friedlander, Siegmann, 1982; Shen, 1983; Friedlander, 1985). However, compared with the oscillations of the elastic mantle, i…  相似文献   

14.
Summary Global tidal parameters are shown to have recently increased in accuracy, after more than twenty years of LLR and a decade of superconducting gravimetry, whereas the numerical values for the Earth have not changed substantially. Numerical values of Love numbers for terrestrial planets and the moon are also given for degrees higher than four as load numbers are basically linear combinations of Love numbers, at least for spherical non-rotation approximations. Numerical values for planetary moons, as far as they are known, have also been included in the paper. The static and dynamic behaviour of long-period and pole tide is discussed. Inner solid and outer fluid core effects are critically reviewed, also in view of a century of terrestrial tide observations of the classical type. The separation of long-period tides from secular effects (on a rotating Earth) such as Jn (n<5), is considered.Dedicated to the Memory of M. S. Molodensky  相似文献   

15.
地球重力场的精细频谱结构及其应用   总被引:5,自引:7,他引:5       下载免费PDF全文
综述了近年内在全球地球动力学合作观测和研究网络框架下开展的重力场观测、频谱结构和应用研究方面的成果. 内容涉及精密大气、海潮负荷信号检测, 重力潮汐和自由核章动参数测定, 海潮模型和重力固体潮模型有效性检验, 重力潮汐实验模型构制, 地球球型基频和低阶震型谱峰分裂现象和地球Chandler摆动等方面. 文章还介绍了综合现代大地测量技术, 全球超导重力仪的长期、连续观测在地表水循环、同震和震后形变、地球慢形变和地壳垂直运动等方面将发挥重要作用的情况.  相似文献   

16.
利用超导重力仪观测资料检测地球近周日共振   总被引:15,自引:1,他引:14       下载免费PDF全文
简要介绍了地球近周日摆动(NDFW)及其在周日重力潮汐中共振的理论背景,利用武汉和Brussels两台站超导重力仪的潮汐观测结果,采用造积方法(Stackingmethod)检测NDFW,根据NDFW在4个周日潮波的共振,得到近周日摆动的本征频率和品质因子.考虑NDFW,可精化地球模型,更客观的理解和分析固体潮观测值和其它一些地球物理现象.  相似文献   

17.
As is known, the secular deceleration of the Earth's diurnal rotation is explained mainly by the tidal friction in the ocean. Below we consider this mechanism in some detail, taking into account also elastic deformations of the mantle under the action of ocean loading and the interaction between the tide-generating body, ocean tidal wave, liquid outer core, and solid inner core. It is shown that elastic displacements of the core-mantle boundary under the action of ocean loading are of about the same amplitude and phase as the elastic loading displacements of the Earth's outer surface. As a result, side by side with the mechanism of secular deceleration of diurnal rotation of the mantle, there are also (1) the opposite mechanism of secular acceleration of diurnal rotation of the outer liquid core and of the solid inner core and (2) the mechanism of excitation of differential rotation in the liquid core. Taking these effects into account, we compare theoretical and modern observed data on the eastward drift of the solid inner core. It is shown that the best agreement may be obtained if the turbulent viscosity of the liquid core is about 2 × 10 3 Poise  相似文献   

18.
Lunar Laser Ranging: Glorious Past And A Bright Future   总被引:1,自引:0,他引:1  
Lunar Laser Ranging (LLR), a part of the NASA Apollo program, has beenon-going for more than 30 years. It provides the grist for a multi-disciplinarydata analysis mill. Results exist for solid Earth sciences, geodesy and geodynamics,solar system ephemerides, terrestrial and celestial reference frames, lunar physics,general relativity and gravitational theory. Combined with other data, it treatsprecession of the Earth's spin axis, lunar induced nutation, polar motion/Earthrotation, Earth orbit obliquity to the ecliptic, intersection of the celestial equatorwith the ecliptic, luni-solar solid body tides, lunar tidal deceleration, lunar physicaland free librations, structure of the moon and energy dissipation in the lunar interior.LLR provides input to lunar surface cartography and surveying, Earth station and lunar retroreflector location and motion, mass of the Earth-moon system, lunar and terrestrial gravity harmonics and Love numbers, relativistic geodesic precession, and the equivalence principle of general relativity. With the passive nature of the reflectors and steady improvement in observing equipment and data analysis, LLR continues to provide state-of-the-art results. Gains are steady as the data-base expands. After more than 30 years, LLR remains the only active Apollo experiment. It is important to recognize examples of efficient and cost effective progress of research. LLR is just such an example.  相似文献   

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