Study on tidal gravity observations obtained at stations Zhongshan and Changcheng, Antarctic

IntroductionThe purpose of the studies on the tidal gravity observations on the Earth(s surface is to investigate the properties of the deformation and the tidal gravity variations of the Earth under the action of the luni-solar tidal force. These variations relate to the internal structure, shape and the medium(s rheology properties of the Earth (Wahr, 1981; Dehant, 1987). The theoretical studies and observations indicated that the amplitudes and the tidal parameters, including the amplitud…     

中国东西重力潮汐剖面

为了检验体潮与海潮的理论模型,分析了中国东西重力潮汐剖面（1981年9月-1985年1月）。同时,为研究LaCoste ET-20和ET-21重力仪的格值系统,建立了一条由17台LaCoste G型和2台LaCoste D型重力仪观测的重力垂直基线。在基线上标定的结果表明,ET-21重力仪的格值大了1％。由标定得到的格值计算剖面上各测站的潮汐因子,经海潮改正后,接近Wahr模型值,振幅因子的残差:O₁波小于0.3μGal,M₂波小于0.4μGal。但是上海和拉萨的观测经海潮改正后,相位迟后有很大的改善,振幅因子却更偏离于模型值,其潮汐异常主要是近海的海潮模型不完善,以及在海潮计算中,所采用的地球模型未考虑地壳与上地幔的横向不均匀性所引起。     

Comparison of two methods for calculating tidal loads

The spherical harmonic expansion up to order n = 1440 of the oceanic tidal heights is derived for the waves of the CSR3.0 model. On the basis of the load Love numbers for the PREM model, the oceanic load effect in gravity is calculated. It is shown that the results provided by the spherical expansion technique and the method utilizing the Green’s function satisfactorily agree even at the order of the expansion n = 720. The obtained model predictions are compared to the oceanic load effect measured by the Global Geodynamics Project (GGP) network of superconducting gravimeters.     

武汉超导重力仪观测最新结果和海潮模型研究

利用武汉台站GWR_C032超导重力仪观测资料,在对原始数据进行有效预处理的基础上作调和分析,获得反映地球内部介质特征的重力潮汐参数.基于卫星测高技术和有限元方法同时考虑验潮站数据作约束条件获得的多个全球海潮模型,利用负荷理论和数值褶积积分技术计算了重力负荷,对周日和半日频段内的重力潮汐参数实施负荷改正,提出了“负荷改正有效性”概念,研究了全球海潮模型适应性.数值结果说明,海潮改正的有效性高达91%（O1,NAO99）和92%（M2,ORI96）.基于11个海潮模型对主波（O1,K1,M2和S2）的负荷改正说明平均有效性为（86%,70%,73%和84%）,振幅因子与理论模型间的差异分别从（212%,155%,116%和080%）降到（031%,039%,034%和008%）,同时还说明利用NAO99和ORI96全球海潮模型能获得比其他模型更佳的负荷改正效果.文章还利用国际地球动力学计划网络其他7个台站的超导重力仪观测研究了全球海潮模型的适定性问题,结果说明不同模型中不同潮波具有明显的区域特点,早期构制的SCW80全球海潮模型仍可作为大地测量研究中的重要参考模型.     

How dissipation and selection of the Earth model on the quality of the Earth tidal prediction

The influence exerted by dissipation and mass correction when calculating the gravimetric ocean effect, as well as by selection of the Earth model, on the degree of closeness of the predicted parameter values of the Earth’s tidal parameters to the observed values computed by the network of superconducting gravimeters is estimated. The role of the latitude dependence of the loading delta factors and the applicability of the hybrid model of the latitude dependence of the amplitude delta factors for an elastic oceanless Earth is briefly discussed.     

泉州重力潮汐观测的分析

为了研究海潮与固体潮的相互作用,对近海的泉州台用三台重力仪（二台LaGoste-G型、一台GS型）为期四个半月的观测资料进行了初步分析,探讨了仪器的性能及误差来源。由分析得出: 1.由LaCoste-G型584和589重力仪观测得到的结果是一致的,三台仪器对于主要潮波O₁和M₂波的观测结果也相符较好,其互差不超过8‰。利用Schwiderski图和我国等潮图作海潮改正后的潮汐因子接近理论模型值。但由于泉州为近海台,大的余差可能反映了局部地区海潮的影响。 2.LaCoste-G型重力仪的误差主要来自灵敏度的变化,应在基本台上作定期标定。 3.GS-207重力仪的观测结果受气压的影响较大,特别是K₁和S₂波,经初步分析得出约7微伽/毫巴。     

The tidal and wind induced hydrodynamics of the composite system Adriatic Sea/Lagoon of Venice

A shallow water hydrostatic 2D hydrodynamic numerical model, based on the boundary conforming coordinate system, was used to simulate aspects of both general and small scale oceanic features occurring in the composite system constituted by the Adriatic Sea and the Lagoon of Venice (Italy), under the influence of tide and realistic atmospheric forcing. Due to a specific technique for the treatment of movable lateral boundaries, the model is able to simulate efficiently dry up and flooding processes within the lagoon. Firstly, a model calibration was performed by comparing the results of the model, forced using tides and ECMWF atmospheric pressure and wind fields, with observations collected for a set of 33 mareographic stations uniformly distributed in the Adriatic Sea and in the Lagoon of Venice. A second numerical experiment was then carried out by considering only the tidal forcing. Through a comparison between the results obtained in the two experiments it was possible to assess the reliability of the estimated parameter through the composite forcing. Model results were then verified by comparing simulated amplitude and phase of each tidal constituent as well as tidal velocities simulated at the inlets of the lagoon and in the Northern Adriatic Sea with the corresponding observed values. The model accurately reproduces the observed harmonics: mean amplitude differences rarely exceed 1 cm, while phase errors are commonly confined below 15°. Semidiurnal and diurnal currents were correctly reproduced in the northern basin and a good agreement was obtained with measurements carried out at the lagoon inlets. On this basis, the outcomes of the hydrodynamic model were analyzed in order to investigate: (i) small-scale coastal circulation features observed at the interface between the adjoining basins, which consist often of vortical dipoles connected with the tidal flow of Adriatic water entering and leaving the Lagoon of Venice and with along-shore current fields connected with specific wind patterns; (ii) residual oscillations, which are often connected to meteorological forcing over the basin. In particular, it emerges that small-scale vortical features generated near the lagoon inlet can be efficiently transported toward the open sea, thus contributing to the water exchange between the two marine regions, and a realistic representation of observed residual oscillations in the area would require a very detailed knowledge of atmospheric as well as remote oceanic forcing.     

Analysis and comparison of the tidal gravity observations obtained with LCR-ET20 spring gravimeter

Introduction The tidal variation signals of the solid Earth recorded with the modern measuring techniques can be used to provide effectively the means to cognize the Earths motion, deformation and structure character, especially to monitor the material motion in the Earths interior. In the recent 20 years, the distribution character of the global gravity field has made great progress since the continuous and deep theoretical studies in geophysics and geodesy domains. The successful manufactur…     

The Results of Integrated Modeling of the Oceanic Gravimetric Effect

The implications of a broad range of factors for the intensity of the oceanic gravimetric effect has been estimated. These factors include dissipation, mass correction, the selection of the oceanic tidal model and Earth’s density model, and discarding the near-zone approximation, as well as allowance for the ellipticity of the Earth and the relative, Coriolis, and inertial accelerations. It has been shown that, with the presentday requirements to computational accuracy, the joint effect of these factors, rather than the separate contributions of each individual factor are of primary importance. The load Love numbers are calculated up to degree n = 50000.     

Determination of the long period tidal waves in the GGP superconducting gravity data

Several results about the long period (LP) tidal waves are obtained by the analysis of series of superconducting gravity data, provided by the Global Geodynamics Project (GGP). The most important result is the determination of a single group called LPMF, composed by all LP tides but representing accurately the parameters of the M_f wave. As the LP tidal generating potential is vanishing at latitudes ±35°15′52″ we cannot determine accurate tidal amplitude factors for the stations located between ±40° and ±30°. However, it is still possible to obtain tidal residual vectors and compare them with oceanic tidal loading computations. For 15 stations the NAO99 oceanic model is giving a coherent picture. For nine stations with M_f amplitude larger than 3 μgal (1 μgal = 10 nm s⁻²) a global analysis is obtained by introducing the loading effect of the ocean directly in the observation equations. The mean amplitude factor obtained for LPMF is larger than expected from the models and there is a significant phase lag, showing the imperfection of the tidal oceanic models for M_f. Other new result is the first separate estimation of the parameters of the LP tides, generated by the tidal potential of third degree, dominated by a Lunar declinational monthly wave, called here 3M_md. Due to their small amplitudes (under 1 μgal) these waves are practically hidden by the noise. Nevertheless, the quality of the data and the flexibility of the VAV analysis method [Venedikov, A.P., Arnoso, J., Vieira, R., 2001. Program VAV/2000 for tidal analysis of unequally spaced data with irregular drift and colored noise. J. Geodetic Soc. Jpn. 47 (1), 281–286; Venedikov, A.P., Arnoso, J., Vieira, R., 2003. VAV: a program for tidal data processing. Comput. Geosci. 29, 487–502.] allow getting significant results, in agreement with the theory of the Earth deformation by the tidal potential of third degree.     

Components of geomagnetic variations with tidal wave frequencies

This work studies regular variations caused by the effect of O ₁ and M ₂ tidal waves on magnetospheric current systems. The response to the tidal effect has been calculated using the magnetic field paraboloid model. A model of origination of the geomagnetic variations with O ₁ and M ₂ tidal wave periods has been developed. The values of such variations, which originate as a result of tidal deformations of the current system in the magnetosphere, are 0.2÷0.9 nT. The calculated values coincide in magnitude with the processed geomagnetic data obtained at the Paratunka geophysical observatory.     

LCR-ET20弹簧型潮汐重力仪观测结果的分析和比较

基于武汉国际重力潮汐基准站LCR-ET20弹簧重力仪潮汐观测资料，利用国际标准的数据预处理和分析方法，采用与GWR型超导重力仪同址观测对比方法，较系统研究了ET20仪器特征以及大气和海洋重力信号．数值结果表明，尽管ET20的观测精度要比超导型重力仪的精度低一个量级，弹簧蠕变性导致的仪器漂移十分大，但该仪器仍获得了与超导重力仪相当的潮汐参数，能有效用于重力场的时间变化观测．      

中国地壳运动观测网络基准站倾斜固体潮观测中的海潮负荷信号改正问题

利用最新的全球海潮模型（Csr3.0,Fes95.2,Tpxo2,Csr4.0和Scw80)和中国近海海潮资料，基于标准地球模型负荷格林函数，采用Agnew的积分格林函数方法研究了倾斜固体潮观测中的海潮负荷效应。文章计算了中国地壳运动观测网络25个基准站8个主要潮流的倾斜负荷，数值结果说明对某一潮波而言，倾斜负荷振幅达10^-9弧度，沿海地区达10^-8弧度或更多。文章构制了北京和上海等8个主要台站的倾斜负荷随时间变化。     

Oceanic Loading and Local Distortions at the Baksan,Russia, and Gran Sasso,Italy, Strain Stations

Reliable use of strain data in geophysical studies requires their preliminary correction for ocean loading and various local distortions. These effects, in turn, can be estimated from the tidal records which are contributed by solid and oceanic loading. In this work, we estimate the oceanic tidal loading at two European strain stations (Baksan, Russia, and Gran Sasso, Italy) by analyzing the results obtained with the different Earth and ocean models. The influence of local distortions on the strain measurements at the two stations is estimated.     

The influence of tidal currents on the asymmetry of tide-dominated ebb–tidal deltas

An idealized numerical model is developed to study the spatial asymmetry of ebb–tidal deltas under influence of large-scale alongshore tidal currents. It is shown that the asymmetry of the delta depends on the magnitude of the cross-shore and large scale alongshore tidal currents, their phase difference, and on the width of the inlet. Model results are compared with observations of ebb–tidal deltas of the tidal inlet systems of the Dutch Wadden Sea and with the ebb–tidal delta of the Eastern Scheldt, located in the southwestern part of the Netherlands. The modeled current and residual sediment transport patterns agree well with observed ones. The modeled asymmetry of the ebb–tidal delta also agree with observed ones. Furthermore, bottom patterns are consistent with those found with a previous version of the idealized model which focused on the modeling of symmetric ebb–tidal deltas. However, the model is not able to reproduce the observed ebb-dominated channel. The underlying physical processes are explained in terms of vorticity dynamics. The convergence of the mean vorticity flux generates mean vorticity and thereby residual circulation. An analysis shows there is competition between two contributions to the convergence of the mean vorticity flux. This competition explains the sensitivity of the results to the model parameters.     

A two-dimensional analytical solution of groundwater responses to tidal loading in an estuary and ocean

Previous studies on tidal dynamics of coastal aquifers have focussed on the inland propagation of oceanic tides in the cross-shore direction, a configuration that is essentially one-dimensional. Aquifers at natural coasts can also be influenced by tidal waves in nearby estuaries, resulting in a more complex behaviour of head fluctuations in the aquifers. We present an analytical solution to the two-dimensional depth-averaged groundwater flow equation for a semi-infinite aquifer subject to oscillating head conditions at the boundaries. The solution describes the tidal dynamics of a coastal aquifer that is adjacent to a cross-shore estuary. Both the effects of oceanic and estuarine tides on the aquifer are included in the solution. The analytical prediction of the head fluctuations is verified by comparison with numerical solutions computed using a standard finite-difference method. An essential feature of the present analytical solution is the interaction between the cross- and along-shore tidal waves in the aquifer area near the estuary’s entry. As the distance from the estuary or coastline increases, the wave interaction is weakened and the aquifer response is reduced, respectively, to the one-dimensional solution for oceanic tides or the solution of Sun (Sun H. A two-dimensional analytical solution of groundwater response to tidal loading in an estuary, Water Resour Res 1997;33:1429–35) for two-dimensional non-interacting tidal waves.     

Temporal variations in free core nutation period

Based on the nearly diurnal resonance in the tidal gravity observations,the temporal variations in period of the Earth's free core nutation (FCN) are investigated by using the tidal gravity observations of 18-year duration recorded continu-ously with a superconducting gravimeter (SG) at Brussels. The effects of the global oceanic tide loading and local barometric pressure on the SG observations have been removed by using eleven high-precision global digital models of oceanic tides and barometric pressure me...     

Die Gezeiten des Meeres und die Rotation der Erde

Summary The problem of tidal friction as a cause of the secular deceleration of earth rotation was higherto approached on the basis of estimating the kinetic energy dissipated by bottom friction. It would appear however, that in any analysis of the influence of oceanic tides on earth rotation the varying directions of the torques due to tidal streams and acting on the solid earth, must be taken into account. As examples for this, the torques due to tidal friction are calculated for the North Sea and for the 10°-world ocean, applying hydrodynamical-numerical methods. The results show that earth rotation is not retarded at all points of the world ocean, but that tidal areas exist exerting either decelerating or accelerating forces.     

武汉台重力潮汐长期观测结果

采用武汉台超导重力仪(SG C032)14年多的长期连续观测资料,研究了固体地球对二阶和三阶引潮力的响应特征,精密测定了重力潮汐参数,系统研究了最新的固体潮模型和海潮模型在中国大陆的有效性.采用最新的8个全球海潮模型计算了海潮负荷效应,从武汉台SG C032的观测中成功分离出63个2阶潮汐波群和15个3阶潮汐波群信号,3阶潮波涵盖了周日、半日和1/3日三个频段.重力潮汐观测的精度非常高,标准偏差达到1.116 nm·s^-2,系统反映了非流体静力平衡、非弹性地球对2阶和3阶引潮力的响应特征.结果表明,现有的武汉国际重力潮汐基准在半日频段非常精确,但在周日频段存在比较明显的偏差,需要进一步精化.对于中国大陆的大地测量观测,固体潮可以采用Dehant等考虑地球内部介质非弹性和非流体静力平衡建立的固体潮理论模型或Xu 等基于全球SG观测建立的重力潮汐全球实验模型作为参考和改正模型,海潮负荷效应应该采用Nao99作为改正模型.     

中国固体潮向量空间分布特征的研究

本文对中比合作和我们独立获得的共10个台站17个仪器架次2890天的固体潮观测资料采用卡特莱特(Cartwright)的完全展开和维尼迪可夫(Venedikov)方法统一地进行了调和分析,并用中井(Nakai)方法对观测资料进行了拟合预处理以提高分析结果的信噪比,同时用线性内插方法处理了仪器灵敏度以资对比.本文着重讨论了分析结果所提供的我国大陆固体潮矢量空间分布的区域性特征及其与海洋负荷的关系.结果表明:中国大陆固体潮空间分布受到海洋负荷的明显控制.O1波尤为显着.文中讨论了仪器流变模型对观测矢量的影响.根据流变模型改正后的结果,所得到的地球对引潮力的实际响应的相位滞后,大多数发站都接近于-1,它论证了理论原则的正确性.文中还讨论了残差矢量与海洋负荷矢量的关系,它们的一致性最概括地说明了海洋负荷对固体潮的影响.文中用误差矢量的方法研究了分析结果的精度,它说明目前海潮改正的精度仍然是不够的.在上述工作基础上,文中最后得到了经海潮改正后的 M2波和 O1波的观测矢量.