Numerical theory of rotation of the deformable Earth with the two-layer fluid core. Part 1: Mathematical model     

G. A. Krasinsky 《Celestial Mechanics and Dynamical Astronomy》2006,96(3-4):169-217

Improved differential equations of the rotation of the deformable Earth with the two-layer fluid core are developed. The equations describe both the precession-nutational motion and the axial rotation (i.e. variations of the Universal Time UT). Poincaré’s method of modeling the dynamical effects of the fluid core, and Sasao’s approach for calculating the tidal interaction between the core and mantle in terms of the dynamical Love number are generalized for the case of the two-layer fluid core. Some important perturbations ignored in the currently adopted theory of the Earth’s rotation are considered. In particular, these are the perturbing torques induced by redistribution of the density within the Earth due to the tidal deformations of the Earth and its core (including the effects of the dissipative cross interaction of the lunar tides with the Sun and the solar tides with the Moon). Perturbations of this kind could not be accounted for in the adopted Nutation IAU 2000, in which the tidal variations of the moments of inertia of the mantle and core are the only body tide effects taken into consideration. The equations explicitly depend on the three tidal phase lags δ, δ _c, δ _i responsible for dissipation of energy in the Earth as a whole, and in its external and inner cores, respectively. Apart from the tidal effects, the differential equations account for the non-tidal interaction between the mantle and external core near their boundary. The equations are presented in a simple close form suitable for numerical integration. Such integration has been carried out with subsequent fitting the constructed numerical theory to the VLBI-based Celestial Pole positions and variations of UT for the time span 1984–2005. Details of the fitting are given in the second part of this work presented as a separate paper (Krasinsky and Vasilyev 2006) hereafter referred to as Paper 2. The resulting Weighted Root Mean Square (WRMS) errors of the residuals dθ, sin θd for the angles of nutation θ and precession are 0.136 mas and 0.129 mas, respectively. They are significantly less than the corresponding values 0.172 and 0.165 mas for IAU 2000 theory. The WRMS error of the UT residuals is 18 ms.  相似文献   

基于VB.NET的地形图编号查询与面积计算程序     

田文波  余代俊 《北京测绘》2012,(5):14-16,25

主要介绍利用Microsoft Visual Basic.NET编写的地形图分幅编号查询与面积计算程序。通过该程序,根据经纬度坐标或高斯坐标,可查询该点所在各种基本比例尺下的图幅编号、西南图廓点的经纬度坐标以及在不同坐标系下的图幅面积。  相似文献   

Measuring fishery profitability: An index number approach     

《Marine Policy》2014

Tracking the financial well-being of vessels that depend on a marine fishery resource is an important function of regulators. This research demonstrates how simple indices can be constructed and utilized to track the economic well-being of vessels operating in the Northeast (USA) Multispecies (Groundfish) Fishery. The indices, which use both public and private data, can separately track trends in inputs, outputs, and prices. For the Northeast Multispecies Fishery, the indices reveal that the economic well-being of the groundfish fleet has improved under catch share management through gains in productivity.  相似文献   

Gravitational potential changes of a spherically symmetric earth model caused by a surface load     

Wenke Sun  & Lars E. Sjöberg 《Geophysical Journal International》1999,137(2):449-468

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Global high-resolution phase velocity distributions of overtone and fundamental-mode surface waves determined by mode branch stripping     

Hendrik Jan van Heijst  & John Woodhouse 《Geophysical Journal International》1999,137(3):601-620

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上地幔各向异性介质对固体潮及负荷潮的影响   总被引：4，自引：0，他引：4       下载免费PDF全文

张永红  李国营  孙和平 《地球物理学报》1999,42(3):333-340

讨论了上地幔各向异性介质中的潮汐运动方程,根据Deiewonski提供的地球模型参数,利用经典的Runge－Kutta数值积分方法,计算了固体潮勒夫数和负荷勒夫数．结果表明,考虑上地幔介质各向异性与否对固体潮勒夫数的影响较小（约为0．06％）,而对负荷勒夫数的影响较大（2．5％）,进一步说明了中低阶负荷勒大数对上地慢介质特性的敏感性．  相似文献   

泰斯公式性态分析与误差估计方法   总被引：2，自引：0，他引：2  

郭建青  李云峰  王洪胜 《煤田地质与勘探》1999,27(4):38-42

主要目的是分析在原始数据具有随机误差的情况下,利用泰斯公式进行正逆问题计算时,公式本身对误差的传递作用,即对泰斯公式的性态进行分析。研究中采用了函数对数据随机误差传递作用的随机性分析方法。通过较为简单的数学推导,建立了泰斯公式正逆计算问题的原始数据与计算结果所具有随机误差的统计参数之间的近似关系式,并推导出了两类计算问题的条件数。指出在u值较小的情况下,计算_的问题属于"病态"的;在u=0.438点及其附近,计算T的问题为"病态"的;在u值和_的相对误差与T的相对误差的比值很大的情况下,正问题为"病态"的。其它条件下的计算问题属于"良态"的。据此建议利用抽水试验后期资料计算T值,利用前期资料计算_值。另一方面,还提出了在原始数据的误差为已知的情况下,进行误差估计的方法。   相似文献   

中国南极长城站室内空气微生物含量七年前后的比较   总被引：3，自引：0，他引：3  

陈皓文 《海洋湖沼通报》1999,(4):48-52

中国南极长城站室内空气微生物含量的考察结果表明,七年后,虽然一些室内空气微生物含量有所下降,即空气质量有所改善,但总体来看,略是上升势。与友邻科考站相比,长城站的多少有点偏高。也比非南极的较高纬度的某些室内空气微生物含量高。结果意味着长城站尚有提高空气质量、改善环境状况的余地。  相似文献   

地震槽波的数学-物理模拟初探   总被引：2，自引：0，他引：2       下载免费PDF全文

皮娇龙  滕吉文  刘有山 《地球物理学报》2018,61(6):2481-2493

针对地震槽波在低速层的传播特性,开展了煤层内地震槽波勘探的数值模拟和物理模拟研究的初探工作.在数值模拟研究方面,采用交错网格有限差分法对煤层中的地震槽波进行三分量全波场模拟.基于波场快照和人工合成地震记录研究了不同模型中的波场特征和各种波型的传播规律.在物理模拟方面,通过选用不同配比的环氧树脂和硅橡胶类材料构建地震槽波物理模型,利用透射法和反射法观测系统获得了清晰的地震槽波记录以研究槽波的地震学特征.研究表明,在煤层内槽波的地震波场中,Love型槽波的能量小于Rayleigh型槽波的SV分量,大于Rayleigh型槽波的SH分量.相对于Love型槽波和Rayleigh型槽波的SH分量,Rayleigh型槽波的SV分量在围岩中的泄露能量较强.在煤层界面附近的围岩中,地震波仍以槽波形式传播,随着距离的增加能量逐渐衰减.随着煤层变薄,煤层槽波主频向高频方向移动,频散现象增强,传播速度增大.  相似文献   

Benchmark computations for flows around a stationary cylinder with high Reynolds numbers by RANS-overset grid approach     

《Applied Ocean Research》2017

The aim of this paper is to evaluate the accuracy, stability and efficiency of the overset grid approach coupled with the RANS (Reynolds Averaged Navier-Stokes) model via the benchmark computations of flows around a stationary smooth circular cylinder. Two dimensional numerical results are presented within a wide range of Reynolds numbers (6.31 × 10⁴ ∼ 7.57 × 10⁵) including the critical flow regime. All the simulations are carried out using the RANS solver pimpleFoam provided by OpenFOAM, an open source CFD (Computational Fluid Dynamics) toolkit. Firstly, a grid convergence study is performed. The results of the time-averaged drag and lift force coefficients, root-mean square value of lift force coefficient and Strouhal number (St number) are then compared with the experimental data. The velocity, vorticity fields and pressure distribution are also given. One main conclusion is that the numerical solutions in regard to a fixed cylinderare not deteriorated due to the implementation of the overset grid. Furthermore, it can be an appealing approach to facilitate simulations of Vortex Induced Vibrations (VIV), which involves grid deformation. The present study is a good start to implement the overset grid to solve VIV problems in the future.  相似文献