Multi-technique comparison of tropospheric zenith delays derived during the CONT02 campaign

In October 2002, 15 continuous days of Very Long Baseline Interferometry (VLBI) data were observed in the Continuous VLBI 2002 (CONT02) campaign. All eight radio telescopes involved in CONT02 were co-located with at least one other space-geodetic technique, and three of them also with a Water Vapor Radiometer (WVR). The goal of this paper is to compare the tropospheric zenith delays observed during CONT02 by VLBI, Global Positioning System (GPS), Doppler Orbitography Radiopositioning Integrated by Satellite (DORIS) and WVR and to compare them also with operational pressure level data from the European Centre for Medium-Range Weather Forecasts (ECMWF). We show that the tropospheric zenith delays from VLBI and GPS are in good agreement at the 3–7 mm level. However, while only small biases can be found for most of the stations, at Kokee Park (Hawaii, USA) and Westford (Massachusetts, USA) the zenith delays derived by GPS are larger by more than 5 mm than those from VLBI. At three of the four DORIS stations, there is also a fairly good agreement with GPS and VLBI (about 10 mm), but at Kokee Park the agreement is only at about 30 mm standard deviation, probably due to the much older installation and type of DORIS equipment. This comparison also allows testing of different DORIS analysis strategies with respect to their real impact on the precision of the derived tropospheric parameters. Ground truth information about the zenith delays can also be obtained from the ECMWF numerical weather model and at three sites using WVR measurements, allowing for comparisons with results from the space-geodetic techniques. While there is a good agreement (with some problems mentioned above about DORIS) among the space-geodetic techniques, the comparison with WVR and ECMWF is at a lower accuracy level. The complete CONT02 data set is sufficient to derive a good estimate of the actual precision and accuracy of each geodetic technique for applications in meteorology.     

Multi-technique comparison of troposphere zenith delays and gradients during CONT08

CONT08 was a 15 days campaign of continuous Very Long Baseline Interferometry (VLBI) sessions during the second half of August 2008 carried out by the International VLBI Service for Geodesy and Astrometry (IVS). In this study, VLBI estimates of troposphere zenith total delays (ZTD) and gradients during CONT08 were compared with those derived from observations with the Global Positioning System (GPS), Doppler Orbitography and Radiopositioning Integrated by Satellite (DORIS), and water vapor radiometers (WVR) co-located with the VLBI radio telescopes. Similar geophysical models were used for the analysis of the space geodetic data, whereas the parameterization for the least-squares adjustment of the space geodetic techniques was optimized for each technique. In addition to space geodetic techniques and WVR, ZTD and gradients from numerical weather models (NWM) were used from the European Centre for Medium-Range Weather Forecasts (ECMWF) (all sites), the Japan Meteorological Agency (JMA) and Cloud Resolving Storm Simulator (CReSS) (Tsukuba), and the High Resolution Limited Area Model (HIRLAM) (European sites). Biases, standard deviations, and correlation coefficients were computed between the troposphere estimates of the various techniques for all eleven CONT08 co-located sites. ZTD from space geodetic techniques generally agree at the sub-centimetre level during CONT08, and??as expected??the best agreement is found for intra-technique comparisons: between the Vienna VLBI Software and the combined IVS solutions as well as between the Center for Orbit Determination (CODE) solution and an IGS PPP time series; both intra-technique comparisons are with standard deviations of about 3?C6?mm. The best inter space geodetic technique agreement of ZTD during CONT08 is found between the combined IVS and the IGS solutions with a mean standard deviation of about 6?mm over all sites, whereas the agreement with numerical weather models is between 6 and 20?mm. The standard deviations are generally larger at low latitude sites because of higher humidity, and the latter is also the reason why the standard deviations are larger at northern hemisphere stations during CONT08 in comparison to CONT02 which was observed in October 2002. The assessment of the troposphere gradients from the different techniques is not as clear because of different time intervals, different estimation properties, or different observables. However, the best inter-technique agreement is found between the IVS combined gradients and the GPS solutions with standard deviations between 0.2 and 0.7?mm.     

一种优化的对流层天顶延迟融合模型FZTD

对流层延迟是影响全球卫星导航系统(GNSS)定位精度的主要误差源之一,模型修正法是目前削弱对流层延迟影响的主要方法.以简单易用的角度为切入点,综合UNB3模型的简易性和GPT2w模型的高精度特点,构建一种简易且精度较高的对流层天顶延迟融合模型(FZTD).并利用多年的国际GNSS服务(IGS)对流层天顶延迟(ZTD)数...     

区域天顶对流层延迟时空变化特性及其建模研究

介绍几种常用的全球对流层延迟改正模型和几种区域对流层延迟模型的建立方法,再利用美国密歇根州的8个测站天顶对流层延迟数据对天顶对流层延迟进行研究,得出天顶对流层延迟在时间尺度及空间尺度上的变化规律,与经度和纬度相关性一般,与高程强相关。通过美国密歇根州的4个测站数据分别计算3种区域对流层延迟模型,得出各个模型的精度,并比较它们的优劣,结论是一次线性插值模型是三者中精度最高的模型。     

VLBI-derived troposphere parameters during CONT08

Time-series of zenith wet and total troposphere delays as well as north and east gradients are compared, and zenith total delays (ZTD) are combined on the level of parameter estimates. Input data sets are provided by ten Analysis Centers (ACs) of the International VLBI Service for Geodesy and Astrometry (IVS) for the CONT08 campaign (12?C26 August 2008). The inconsistent usage of meteorological data and models, such as mapping functions, causes systematics among the ACs, and differing parameterizations and constraints add noise to the troposphere parameter estimates. The empirical standard deviation of ZTD among the ACs with regard to an unweighted mean is 4.6?mm. The ratio of the analysis noise to the observation noise assessed by the operator/software impact (OSI) model is about 2.5. These and other effects have to be accounted for to improve the intra-technique combination of VLBI-derived troposphere parameters. While the largest systematics caused by inconsistent usage of meteorological data can be avoided and the application of different mapping functions can be considered by applying empirical corrections, the noise has to be modeled in the stochastic model of intra-technique combination. The application of different stochastic models shows no significant effects on the combined parameters but results in different mean formal errors: the mean formal errors of the combined ZTD are 2.3?mm (unweighted), 4.4?mm (diagonal), 8.6?mm [variance component (VC) estimation], and 8.6?mm (operator/software impact, OSI). On the one hand, the OSI model, i.e. the inclusion of off-diagonal elements in the cofactor-matrix, considers the reapplication of observations yielding a factor of about two for mean formal errors as compared to the diagonal approach. On the other hand, the combination based on VC estimation shows large differences among the VCs and exhibits a comparable scaling of formal errors. Thus, for the combination of troposphere parameters a combination of the two extensions of the stochastic model is recommended.     

基于多项式拟合的移去恢复法求解对流层天顶延迟的研究

本文针对基于区域GPS网内插流动站对流层天顶延迟(ZTD)时存在的问题,提出了基于多项式拟合的移去恢复法.该方法利用对流层天顶延迟与高程之间的强相关性,通过多项式拟合将对流层天顶延迟中与高程相关的信息移去后再进行内插求解.采用SCIGN的GPS数据进行实验,结果表明:基于多项式拟合的移去恢复法的插值精度明显高于传统的反距离加权直接内插法,特别对于高程明显偏离参考站总体高程的流动站具有较好的改进效果.     

GPS天顶对流层延迟与可降水量的相关性

针对水汽含量在短时间内变化快、影响因素多,目前精确测定其含量仍是一个难点的现状,该文采用GAMIT软件,利用两次暴雨发生过程中香港地区6个连续运行参考站系统参考站数据,计算天顶对流层总延迟(ZTD)和大气可降水量(PWV),并与实际降雨量进行对比。研究结果表明,暴雨发生前后的1~2h或者更长时间内,天顶对流层延迟、大气可降水量和实际降水量一直保持着较好的对应关系,天顶对流层延迟和大气可降水量会出现骤增和骤降现象,而且天顶对流层延迟和可降水量的变化速度越快,说明大气环境越不稳定,降水概率也就越高。     

GNSS对流层天顶延迟模型及映射函数研究EI北大核心CSCD

对流层延迟是指电磁波信号穿透中性大气层时速度和路径均发生改变的效应,具有非色散性,无法通过多频组合方式消除;由于水汽具有典型的时空非平稳特征,难以对非流体静力学分量进行精确建模。如何妥善处理对流层延迟,是提高GNSS定位精度的重点和难点问题。     

京津冀地区GNSS对流层延迟空间插值研究

对流层延迟差异影响合成孔径雷达干涉测量技术(InSAR)形变测量精度;水汽的变化影响天气变化.对流层延迟与水汽具有较好的对应,因此有必要开展全球导航卫星系统(GNSS)对流层延迟的插值研究.以京津冀地区为例,针对GNSS对流层延迟,开展对流层延迟的空间插值研究.首先开展了GNSS对流层延迟与水汽的比较分析,两者存在显著正相关特性,相关性超过91.7%,论证了对流层延迟取代水汽的可行性.然后利用反距离权重法对京津冀地区2016年9月至2017年8月的12组GNSS测站对流层延迟进行空间插值,通过提取插值点对流层延迟与GNSS站点对流层延迟比较验证空间插值精度.全年数据平均偏差最大为1.12cm,均方根误差最大为0.89cm;未发生降水过程平均偏差最大为1.25cm,均方根误差最大为0.82cm;发生降水过程平均偏差最大为1.08cm,均方根误差最大为1.38cm.京津冀平原区域的GNSS对流层延迟空间插值结果精度满足气象等应用要求,可为气象预报和InSAR大气校正提供参考.     

IGS精密星历和钟差对天顶对流层延迟精度的影响

为研究IGS精密轨道和钟差产品对天顶对流层延迟精度的影响,文章利用位于中国北京、上海、拉萨等地的6个IGS跟踪站所提供的2013年4月7日～10日4天的数据,采用GPSTools软件进行实验,计算各跟踪站的天顶对流层延迟(ZTD),并与IGS提供的对流层延迟产品进行对比.结果表明,利用IGS精密轨道解算的ZTD与IGS提供的ZTD相当,两者偏差的平均RMS优于5mm,利用IGS超快速钟差预报部分解算的ZTD与IGS提供的ZTD存在2cm～3cm误差,平均RMS大于1cm.     

ERA-Interim资料计算对流层天顶延迟方法及精度分析

利用CDDIS提供的6个IGS站点2018年高精度对流层天顶延迟(ZTD)参考值,对利用ERA-Interim资料计算的ZTD值进行了精度评估.结果显示,ERA-Interim资料计算的ZTD与IGS提供的ZTD产品相比误差在cm级,不同纬度的计算ZTD及其偏差有不同的季节特征.IGS ZTD和ERA-Interim ZTD分别用于GNSS单点定位改正,伪距结果显示两者改正偏差的差异在亚毫米级,且结果在各个方向都得到了改善,U方向最明显,能达到0.5 m左右.     

提高对流层天顶总延迟解算精度的新方法探讨

对流层天顶总延迟的解算精度,直接影响长基线解算的精度和大气水汽含量的计算精度。文中提出克利金内插法解算天顶总延迟的新方法,并利用南极长城站和周边IGS跟踪站的GPS数据,通过高精度解算软件GAMIT/GLOBK,解算出长城站上空的对流层天顶总延迟,将其与利用内插方法解算的天顶总延迟进行了对比分析,得出:利用该内插方法获取的南极长城站在夏季的天顶总延迟的均方差可达0.2mm,这对今后GPS高精度定位和GPS气象学应用来说,具有重要意义。     

Universal time from VLBI single-baseline observations during CONT08

The IVS Intensive sessions are single-baseline, 1-h VLBI sessions carried out everyday in order to determine Universal Time (UT1). We investigate different possibilities to improve the results of such sessions. We do this investigation by extracting 2-h single-baseline sessions from the CONT08 data set. These are analysed like normal Intensives, and the results are compared to the results of the analysis of the full CONT08 data set. We find that tropospheric asymmetry is the major error source for the single-baseline sessions. It is possible to improve the accuracy of the estimated UT1 either by using accurate a priori tropospheric gradients or by estimating gradients in the data analysis.     

Earth orientation parameters estimated from VLBI during the CONT11 campaign

In this paper we investigate the accuracy of the earth orientation parameters (EOP) estimated from the continuous VLBI campaign CONT11. We first estimated EOP with daily resolution and compared these to EOP estimated from GNSS data. We find that the WRMS differences are about 31  $\upmu $ as for polar motion and 7  $\upmu $ s for length of day. This is about the precision we could expect, based on Monte Carlo simulations and the results of the previous CONT campaigns. We also estimated EOP with hourly resolution to study the sub-diurnal variations. The results confirm the results of previous studies, showing that the current IERS model for high-frequency EOP variations does not explain all the sub-diurnal variations seen in the estimated time series. We then compared our results to various empirical high-frequency EOP models. However, we did not find that any of these gave any unambiguous improvement. Several simulations testing the impact of various aspects of, e.g. the observing network were also made. For example, we made simulations assuming that all CONT11 stations were equipped with fast VLBI2010 antennas. We found that the WRMS error decreased by about a factor five compared to the current VLBI system. Furthermore, the simulations showed that it is very important to have a homogenous global distribution of the stations for achieving the highest precision for the EOP.     

精密单点定位中卫星星历对天顶对流层延迟估计的影响

为了分析不同卫星星历对天顶对流层延迟估计的影响,本文选取不同的卫星星历产品分别进行静态精密单点定位试验,估计天顶对流层延迟,并与IGS发布的天顶对流层延迟产品相比。结果表明,采用最终星历、快速星历和超快星历实测部分时,天顶对流层延迟的平均RMS值分别为4.5mm、4.3mm和4.6mm,估计精度一致。而采用超快星历外推部分时,平均RMS值为6.3mm,估计精度略低。     

Accuracy improvement of zenith tropospheric delay estimation based on GPS precise point positioning algorithm

In the precise point positioning(PPP),some impossible accurately simulated systematic errors still remained in the GPS observations and will inevitably degrade the precision of zenith tropospheric delay(ZTD) estimation.The stochastic models used in the GPS PPP mode are compared.In this paper,the research results show that the precision of PPP-derived ZTD can be obviously improved through selecting a suitable stochastic model for GPS measurements.Low-elevation observations can cover more troposphere informat...     

融合大气数值模式的高精度对流层天顶延迟计算方法

针对现有对流层天顶延迟模型改正法因水汽参数难以精确获取所导致的时空分辨率与精度上的不足问题,提出了一种融合WRF(weather research and forecasting model)大气数值模式的对流层天顶延迟估计方法。通过分析WRF模式的数值模拟机理及其数据结构特征,采用直接积分与模型改正相结合的混合计算方式,实现了全球任意位置上小时级的对流层天顶延迟估计。验证结果表明,该方法计算的小时级ZTD再分析值精度为13.6mm,日均值精度更是可达9.3mm,比传统模型UNB3m的49.6mm以及目前标称精度最高模型GPT2w的34.6mm,精度分别提高了约5倍和3.5倍。在30h的预报时段内,预报值精度也可达22mm。无论是ZTD再分析值还是预报值比现有模型的估计值精度均有明显提高。     

无气象要素的GPS对流层延迟推算可降水量的研究

本文针对武汉地区GPS气象网资料,进行了GPS对流层延迟直接推算可降水量的研究。在武汉东湖站GPS对流层延迟与无线电探空可降水量的比较中,两者具有很好的相关性,相关系数达到了0.93;推导了对流层延迟直接推算可降水量的模型,对模型结果进行了检验,在武汉东湖站的对流层延迟转换的可降水量与无线电探空可降水量的比较中,均方根为7.8mm,相关性为0.91,这说明了在没有气象数据的地区对流层延迟直接推算的可降水量可以作为气象短期预报的参考。     

BDS/GPS组合天顶对流层延迟的精度分析

在现有的精密轨道和钟差条件下,选取8个MGEX跟踪站2014年6—9月的观测数据,详细分析利用BDS/GPS组合PPP法在未固定跟踪站坐标和固定跟踪站坐标情况下估计ZTD的效果,并与IGS提供的对流层产品对比分析。实验分析表明,利用PPP法估计ZTD,BDS ZTD现阶段的STD优于34mm,GPS ZTD与BDS/GPS组合现阶段的STD相当,均优于14mm。与未固定跟踪站情形下估计的BDS ZTD相比,固定跟踪站坐标的方式虽然可以提高利用BDS估计ZTD的稳定性,但不能提高精度。