基于短时间序列重力观测数据的潮汐改正方法

对于没有长期连续潮汐观测站和无精密潮汐模型的地区,研究高精度潮汐改正方法具有重要意义。给出了基于短时间序列重力观测数据的高精度潮汐改正方法,并利用全球动力学计划中TIGOConcepcion、Kamio-ka和Hsinchu三个台站的超导重力观测数据对该方法进行了试验分析。研究结果表明,利用一天或数天重力观测数据可建立高精度潮汐模型,其振幅因子和相位延迟解算精度分别优于0.01和0.5°,潮汐改正精度可以达到μGal量级,验证了该方法的正确性和有效性。本文方法为无精密潮汐模型区域的潮汐改正提供了新的途径。     

岛礁重力测量潮汐改正新方法

现有的固体潮和海洋负荷潮的模型用于岛礁重力测量的改正时,会产生较大的误差。利用短时间的重力观测数据建立测站的潮汐模型,可以明显地改善测站的潮汐模型,提高重力测量结果的精度,该方法可用于绝对和相对重力测量的潮汐改正。重力梯度同步观测方案不需要进行潮汐改正就可获得重力梯度,故不受潮汐模型误差的影响。     

潮汐引力改正计算中精密公式与简易公式对比的探讨

分别列出了水准潮汐改正公式中不同模型下的几个子公式,即精密模型下的月亮真黄经、月亮真黄纬及太阳赤纬,简易模型下的月亮真黄经、月亮真黄纬及太阳赤纬;并就其对应模型下的计算结果进行了比对,同时就不同模型下,其对测段潮汐改正的结果进行了比对。认为简易模型可满足水准测量潮汐改正的精度要求,便于程序化计算,值得推广。     

海洋潮汐负荷对精密单点定位的影响研究

在全球范围内选取地处内陆、沿海和岛屿的85个国际GNSS服务(IGS)测站,对其一天的观测数据进行无海洋潮汐改正和加入GOT4.8海洋潮汐改正模型两种解算,分析了海洋潮汐负荷对全球不同地理区域IGS测站精密单点定位(PPP)精度的影响. 结果表明:岛屿测站受海洋潮汐负荷的影响范围最广,改正量最大. 加入海洋潮汐改正后,约91%的岛屿测站在PPP中定位误差得到了改正,沿海测站和内陆测站得到改正的比例分别约为85%和82%;海洋潮汐改正对测站的N方向几乎起不到改正的作用,对E方向的影响较小,对U方向影响最大,其中在岛屿测站的U方向上影响范围是2~8 mm,部分站点接近厘米级.      

浅水多波束测深潮汐改正技术研究

提出了一种顾及潮时差变化的多验潮站多边形潮汐分区改正数学模型,设计了海量多波束数据通用的虚拟单验潮站改正模式.应用结果表明,该模型准确地再现了时变水位场,实现了区域瞬时海面的无缝拼接,较好地解决了多波束条带采用传统潮汐分区改正模型引起的断层及锯齿状问题.     

潮汐改正对精密GPS基线解算的影响

介绍了三类潮汐模型改正,分析了中国及周边地区不同类型、大尺度GPS网,研究了极潮、大洋潮、固体潮模型改正对定位精度的影响,给出了模型的使用方法.     

海岛礁相对重力测量的潮汐影响

着重分析固体潮模型、潮汐因子的选取和海洋负荷潮的求定,并利用ETGTAB模型数据详细计算了相对重力测量中的潮汐改正,说明在近海和岛屿地区进行高精度海岛礁相对重力测量时,必须考虑精确的固体潮和海洋负荷潮改正,从而提高相对重力测量的联测精度。     

用超导重力仪的潮汐观测资料研究海潮模型

系统研究了潮汐观测资料中海潮模型的适应性问题,用基于数值离散褶积积分方法获得的海潮负荷对武昌超导重务仪观测资料作负荷改正。结果说明,海潮负荷改正后的重力场观测残差大大降低了,与理论潮汐参数模型相比,８个主要潮流的平均振幅因子由改正前的１．３８％降至０．１３％和０．２６％。     

中国大地测量的数据处理要科学界定潮汐改正计算

中国大地测量的现行规范细则中 ,凡涉及潮汐改正计算的都采用全潮汐改正 ,所以相应的数据处理和大地成果就相应于无潮汐值 ,如无潮汐重力值、无潮汐水准高、无潮汐垂线偏差、无潮汐高程异常值 ,甚至由此涉及无潮汐地壳等。这项改正曾经受到 1979年国际大地测量协会 (IAG)堪培拉 (Canberra)大会有关决议的支持 ,但随后不久 ,IAG就作了改正 ,在 1983年汉堡 (Hamburg)大会上仍以决议形式修正了它原来的意见 ,转而对零潮汐改正表示支持。国际大地测量界对潮汐改正的研究几经反复 ,近十年来已取得了比较一致的意见 ,即认为采用零潮汐改正是比较科学的 ,特别是对以陆地国土为主的国家更为合适。因此 ,中国在制定新的大地测量基准的有关条例和相应的各种大地规范细则时 ,应及时修正原来的无潮汐改正的规定 ,确定采用零潮汐改正 ,使全国在这方面的数据处理和所得大地成果纳入更为科学的轨道     

FG5绝对重力仪观测数据的实测重力潮汐改正

基于中国计量科学研究院北京昌平院区的超导重力仪iGrav-012实测重力潮汐数据,以FG5绝对重力仪为例研究了绝对重力观测中的实测潮汐改正问题,分析了用高精度超导重力仪获得的实测合成重力潮汐与理论合成重力潮汐间的差异。并采用iGrav-012超导重力仪和FG5X-249绝对重力仪两种实测数据对实测潮汐改正效果进行了验证。结果表明, FG5绝对重力仪中用的理论合成重力潮汐在考虑海潮重力影响后的结果与实测合成重力潮汐之差在1μGal之内,因此理论合成重力潮汐经过海潮重力影响改正后的结果可满足绝对重力观测精度要求,从观测精度来讲,无需对绝对重力的实测数据实施潮汐改正即可满足绝对重力观测的精度要求。但是FG5X-249绝对重力观测数据的潮汐改正结果表明,不同的潮汐改正方法对绝对重力观测值的影响不同,但这种影响较小,在0.1μGal的量级,因此建议只在高精度绝对重力观测中考虑实测重力潮汐改正。     

利用动态PPP技术确定海潮负荷位移

利用动态PPP对香港12个GPS测站2007—2012年的数据反演了海潮负荷位移,通过与7个全球海潮模型、1个区域模型和静态PPP反演的结果比较发现,相对于另外几个模型,动态PPP反演结果与TPXO.7.2、EOT11a、HAMTIDE和NAO99Jb模型的结果符合得更好。与静态PPP的结果比较发现其RMS与各模型的RMS大体上一致,只是在S2、K2和K1的E方向和M2、S2的N方向稍有增加。此外,除K2和K1潮波外,动态PPP与模型的RMS值在水平方向上均小于1 mm,在垂直方向上均小于2.5 mm,能达到和静态PPP相当的精度。本文反演的结果与NAO99Jb模型值存在明显的系统偏差,当去除系统偏差后,所有潮波的RMS值都有明显的减小,尤其在K1的垂直方向RMS从16.4 mm减少到1.3 mm。此外,通过将香港2012年验潮站数据反演的潮波参数与模型的结果进行比较发现,其结果同样与TPXO.7.2、EOT11a、HAMTIDE和NAO99Jb这4个模型更为符合,这进一步验证了动态PPP反演海潮的有效性,同时说明这4个模型比较适合香港区域。     

海潮负荷效应对我国及周边IGS站的影响

针对近海区域海潮变化复杂且海潮负荷效应显著,而全球海潮模型在近海区域精度较低的问题,该文提出了将全球海潮模型NAO.99b和区域模型osu.chinasea.2010相结合,分析海潮对中国大陆及周边地区IGS站的影响。使用GAMIT软件解算IGS站实测数据,通过海潮负荷计算软件SPOTL对解算结果进行改正,并对改正效果进行对比和分析。结果表明,海潮负荷对中国及周边区域站点的影响主要体现在垂直方向,对一些站点的影响可以达到厘米级;海潮负荷对站点坐标的改正效果明显,特别是日本的种子岛站改正效果接近30%;站点改正效果从沿海到内陆逐渐减弱。     

利用GPS动态PPP技术求解海潮负荷位移

受特殊海岸线及复杂海底地形的影响,目前发布的全球海潮模型在局部沿海地区差异较大,需利用其他大地测量手段直接测定沿海地区的海潮负荷位移参数。GPS技术因具有全天候、精度高、成本低等优势,已成为获取海潮负荷位移参数的有效手段。本文基于GPS技术监测测站三维位移变化的灵敏度高于监测48个海潮参数的灵敏度这一基本思想,改进了利用GPS精密单点定位(PPP)技术估计48个海潮调和参数的方法,直接逐历元求解三维海潮负荷位移变化,再利用调和分析方法提取主要潮波(M2、S2、N2、K2、K1、O1、P1、Q1)的海潮负荷位移建模参数(振幅与相位)。利用12个香港连续运行参考站(CORS)8年的GPS观测数据,计算各测站的海潮负荷位移建模参数。与传统方法比较,本文方法可有效加速K1潮波在东西方向的收敛。将GPS海潮负荷位移建模参数估值与中国近海海潮模型值比较,发现除S2、K2和K1潮波的均方根误差较大外,其他潮波的均方根误差均小于1.5mm。将香港2008—2014年验潮站数据反演的潮波参数与海潮模型值比较,结果表明:GPS与验潮站数据反演的潮波参数均与中国近海海潮模型及HAMTIDE2011.11A全球海潮模型符合较好,验证了GPS PPP反演海潮负荷位移的有效性。采用GPS PPP估计的8个潮波的振幅与相位值替换全球海潮模型中对应的潮波值,进行海潮负荷效应改正,可减弱GPS长时间序列中的半周年信号。     

潮汐对高精度重力测量的改正分析

分析了固体潮和海洋负荷潮对沿海基准站绝对重力测量的影响,以及利用不同海潮模型计算后的精度统计,结果表明全球海潮模型对我国沿海绝对重力测量的改正不是十分精确。并简要分析了海洋负荷潮对相对重力测量的影响。     

A comparison of GPS, VLBI and model estimates of ocean tide loading displacements

In recent years, ocean tide loading displacements (OTLD) have been measured using the Global Positioning System (GPS) and Very Long Baseline Interferometry (VLBI). This study assesses the accuracy of GPS measurements of OTLD by comparison with VLBI measurements and estimates derived from numerical ocean tide models. A daily precise point positioning (PPP) analysis was carried out on ∼11 years of GPS data for each of 25 sites that have previous OTLD estimates based on data from co-located VLBI sites. Ambiguities were fixed to integer values where possible. The resulting daily estimates of OTLD, at eight principal diurnal and semi-diurnal tidal frequencies, were combined to give GPS measurements of OTLD at each site. The 3D GPS and VLBI measurements of OTLD were compared with estimates computed (by convolution with Green’s functions) from five modern ocean tide models (CSR4.0, FES2004, GOT00.2, NAO99b and TPXO6.2). The GPS/model agreement is shown to be similar to the VLBI/model agreement. In the important radial direction, the GPS/model misfit is shown to be smaller than the VLBI/model misfit for seven of the eight tidal constituents; the exception being the K2 constituent. Fixing of GPS carrier-phase ambiguities to integer values resulted in a marginal improvement to the GPS/model agreement. Statistically, it is shown there is no significance to the difference between the fit of the GPS and VLBI measurements of OTLD to modelled values. Equally, differences in fit of either the complete set of GPS or VLBI estimates to the five sets of model-derived values cannot be identified with statistical significance. It is thus concluded that, overall, we cannot distinguish between GPS and VLBI measurements of OTLD, and that at the global scale, present ocean tide models are accurate to within the current measurement noise of these techniques.     

Validating ocean tide loading models using GPS

Ocean tides cause periodic deformations of the Earths surface, also referred to as ocean tide loading (OTL). Tide-induced displacements of the Earths crust relying on OTL models are usually taken into account in GPS (Global Positioning System) data analyses. On the other hand, it is also possible to validate OTL models using GPS analyses. The following simple approach is used to validate OTL models. Based on a particular model, instantaneous corrections of the site coordinates due to OTL are computed. Site-specific scale factors, f, for these corrections are estimated in a standard least-squares adjustment process of GPS observations together with other relevant parameters. A resulting value of f close to unity indicates a good agreement of the model with the actual site displacements. Such scale factors are computed for about 140 globally distributed IGS (International GPS Service) tracking sites. Three OTL models derived from the ocean tide models FES95.2.1, FES99, and GOT00.2 are analyzed. As expected, the most reliable factors are estimated for sites with a large loading effect. In general, the scaling factors have a value close to unity and no significant differences between the three ocean tide models could be observed. It is found that the validation approach is easy to apply. Without requiring much additional effort for a global and self-consistent GPS data analysis, it allows detection of general model misfits on the basis of a large number of globally distributed sites. For detailed validation studies on OTL models, the simultaneous estimation of amplitudes and phases for the main contributing partial tides within a GPS parameter adjustment process would provide more detailed answers.     

固体潮对三峡地区地壳垂直形变和重力变化的影响分析

利用IERS协议上的方法和DE405星历文件,基于三峡地区CORS站和重力台站位置,计算了从2011年到2015年6月固体潮每2 h对三峡地区地壳垂直形变和重力变化的影响,并计算了2012年12月14日大潮期间固体潮影响分布。研究发现,三峡地区固体潮有很强的周期性,存在半月和半年的长周期、一天和半天的短周期。三峡地区农历每月月中和月底前后有2次大潮,月中和月底的大潮潮差相差约1/4;每年冬季（月球赤纬28°36',约11、12、1月）和夏季（约5、6、7月,太阳高度角接近最大）大潮潮差大,春季和秋季大潮潮差小。大地高最大潮高0.346 m,最低潮高-0.190 m（参考历元2000.0）;固体潮对重力与对垂直形变影响异相,最大值110 μGal,最小值-200 μGal。区域固体潮呈明显的条带分布,固体潮对垂直形变与重力变化影响的增减方向相反。本文的研究成果可用于CORS站、重力台站的固体潮影响分析,为局部固体潮相关研究提供参考。     

Ocean tide loading (OTL) displacements from global and local grids: comparisons to GPS estimates over the shelf of Brittany, France

In this paper we examine OTL displacements detected by GPS stations of a dedicated campaign and validate ocean tide models. Our area of study is the continental shelf of Brittany and Cotentin in France. Brittany is one of the few places in the world where tides provoke loading displacements of ∼10–12 cm vertically and a few cm horizontally. Ocean tide models suffer from important discrepancies in this region. Seven global and regional ocean tide models were tested: FES2004 corrected for K2, TPXO.7.0, TPXO.6.2, GOT00.2, CSR4.0, NAO.99b and the most recent regional grids of the North East Atlantic (NEA2004). These gridded amplitudes and phases of ocean tides were convolved in order to get the predicted OTL displacements using two different algorithms. Data over a period of 3.5 months of 8 GPS campaign stations located on the north coast of Brittany are used, in order to evaluate the geographical distribution of the OTL effect. We have modified and implemented new algorithms in our GPS software, GINS 7.1. GPS OTL constituents are estimated based on 1-day batch solutions. We compare the observed GPS OTL constituents of M₂, S₂, N₂ and K₁ waves with the selected ocean tide models on global and regional grids. Large phase-lag and amplitude discrepancies over 20° and 1.5 cm in the vertical direction in the semi-diurnal band of M₂ between predictions and GPS/models are detected in the Bay of Mont St-Michel. From a least squares spectral analysis of the GPS time-series, significant harmonic peaks in the integer multiples of the orbital periods of the GPS satellites are observed, indicating the existence of multipath effects in the GPS OTL constituents. The GPS OTL observations agree best with FES2004, NEA2004, GOT00.2 and CSR4.0 tide models.     

Assessing the accuracy of predicted ocean tide loading displacement values

The accuracy of ocean tide loading (OTL) displacement values has long been assumed to be dominated by errors in the ocean tide models used, with errors due to the convolution scheme used considered very small (2–5%). However, this paper shows that much larger convolution errors can arise at sites within approximately 150 km of the coastline, depending on the method used to refine the discrete regularly spaced grid cells of the ocean tide model to better fit the coastline closest to the site of interest. If the local water mass redistribution approach is implemented, as used in the OLFG/OLMPP software recommended in the IERS 2003 conventions, OTL height displacement errors of up to around 20% can arise, depending on the ocean tide model used. Bilinear interpolation only, as used in the SPOTL and CARGA softwares for example, is shown from extensive global and regional comparisons of OTL displacement values derived from the different methods and softwares to be more appropriate. This is verified using GPS observations. The coastal refinement approach used in the OLFG/OLMPP software was therefore changed in August 2007 to use bilinear interpolation only. It is shown that with this change, OTL displacement values computed using OLFG/OLMPP, SPOTL and CARGA invariably agree to the millimetre level for coastal sites, and better than 0.2 mm for sites more than about 150 km inland.