Ocean Tide Models Developed by Assimilating TOPEX/POSEIDON Altimeter Data into Hydrodynamical Model: A Global Model and a Regional Model around Japan

A global ocean tide model (NAO.99b model) representing major 16 constituents with a spatial resolution of 0.5° has been estimated by assimilating about 5 years of TOPEX/POSEIDON altimeter data into barotropic hydrodynamical model. The new solution is characterized by reduced errors in shallow waters compared to the other two models recently developed; CSR4.0 model (improved version of Eanes and Bettadpur, 1994) and GOT99.2b model (Ray, 1999), which are demonstrated in comparison with tide gauge data and collinear residual reduction test. This property mainly benefits from fine-scale along-track tidal analysis of TOPEX/POSEIDON data. A high-resolution (1/12°) regional ocean tide model around Japan (NAO.99Jb model) by assimilating both TOPEX/POSEIDON data and 219 coastal tide gauge data is also developed. A comparison with 80 independent coastal tide gauge data shows the better performance of NAO.99Jb model in the coastal region compared with the other global models. Tidal dissipation around Japan has been investigated for M₂ and K₁ constituents by using NAO.99Jb model. The result suggests that the tidal energy is mainly dissipated by bottom friction in localized area in shallow seas; the M₂ ocean tidal energy is mainly dissipated in the Yellow Sea and the East China Sea at the mean rate of 155 GW, while the K₁ energy is mainly dissipated in the Sea of Okhotsk at the mean rate of 89 GW. TOPEX/POSEIDON data, however, detects broadly distributed surface manifestation of M₂ internal tide, which observationally suggests that the tidal energy is also dissipated by the energy conversion into baroclinic tide.     

Multi-satellite ocean tide modelling—the K1 constituent

All major ocean tide constituents are aliased into signals with periods less than 90 days from TOPEX/POSEIDON altimetry, except the K₁ constituent. The aliased K₁ has a period of 173 days. Consequently, it might be confounded with height variations caused by the semiannual cycle having a period of 183 days.The correlation between K₁ and the semiannual signal has been investigated both locally and globally using combinations of T/P, ERS-1 and GEOSAT observations. Subsequently, two empirical methods have been investigated to improve the mapping of K₁ from multiple satellites.At high latitudes, where the presence of crossing tracks cannot separate K₁ from the semiannual signal from TOPEX/POSEIDON, the importance of including ERS-1 and GEOSAT observations was demonstrated. A comparison with 29 pelagic and coastal tide gauges in the Southern Ocean south of 50°S gave 5.59 (M₂), 2.27 (S₂) and 5.04 (K₁) cm RMS agreement for FES95.1 ocean tide model. The same comparison for the best empirical estimated constituents based on TOPEX/POSEIDON + ERS-1 + GEOSAT gave 4.32, 2.21, and 4.29 cm for M₂, S₂ and K₁, respectively.     

Tidal Correction of Altimetric Data in the Japan Sea

Satellite altimetric data have been very useful in the study of variation in the eddy field of the ocean. In order to investigate the variation in the eddy field, we have to remove tidal signals from altimetric data. However, global tidal models do not have sufficient accuracy in marginal seas such as the Japan Sea. In this study, we carried out harmonic analysis of temporal fluctuations of sea surface height data in the Japan Sea measured by TOPEX/POSEIDON. We could eliminate the tidal signals from altimetric data of TOPEX/POSEIDON and also from ERS-2 altimetric data with use of the harmonic constants derived from TOPEX/POSEIDON and tide gauge data along the coast. We draw co-tidal and co-range charts in the Japan Sea using the result of the harmonic analysis of TOPEX/POSEIDON altimetric data and tide gauge data along the coast. The results obtained turn out to be very useful for the tidal correction of altimetric data from satellite in the Japan Sea.     

JASON-1与TOPEX/POSEIDON卫星高度计数据在中国海和西北太平洋的一致性分析及印证

利用JASON-1和TOPEX/POSEIDON卫星高度计在相互校正阶段的观测资料,对两者在中国海和西北太平洋测得的海面风速、有效波高、后向散射截面、海平面高度等参数进行一致性分析;利用j,v模型及主要分潮的调和常数,对中国陆架浅海的JASON-1海平面高度数据进行浅海潮汐修正,使用验潮站月平均水位资料对修正结果加以印证。结果显示,2颗高度计观测的海洋环境参数具有强相关性,JASON-1具备了完成延续TOPEX/POSEIDON数据集这一使命的条件。但是,2套系统对于同一海洋环境参数的观测还是存在不能忽略的差异,对这种差异进行了分析,并给出了修正模型。所使用的浅海潮汐修正方法有效地抑制了中国陆架浅海潮波对海平面高度反演的影响,所使用浅海水域的5个验潮站月平均水位资料与JASON-1高度计经过浅海潮汐修正后的海平面高度的相关系数为0.738,标准偏差为0.096m。通过进一步融合JASON-1和TOPEX/POSEIDON在并行飞行期间的海平面高度数据并与验潮站资料比较显示,两者的相关系数提高到0.83,标准偏差为0.067m。     

Comparison of TOPEX/POSEIDON Altimeter Derived Wind Speed and Wave Parameters with Ocean Buoy Data in the North Indian Ocean

Results of comparison exercises carried out between the state-of-the-art TOPEX/POSEIDON altimeter-derived ocean surface wind speed and ocean wave parameters (significant wave height and wave period) and those measured by a set of ocean data buoys in the North Indian Ocean are presented in this article. Altimeter-derived significant wave height values exhibited rms deviation as small as - 0.3 m, and surface wind speed of - 1.6 m/s. These results are found consistent with those found for the Pacific Ocean. For estimation of ocean wave period, the spectral moments-based semiempirical approach, earlier applied on GEOSAT data, was extended to TOPEX/POSEIDON. For this purpose, distributions of first four years of TOPEX/POSEIDON altimeter data and climatology over the North Indian Ocean were analyzed and a new set of coefficients generated for estimation of wave period. It is shown that wave periods thus estimated from TOPEX/POSEIDON data (for the subsequent two years), when compared with independent data set of ocean data buoys deployed in the North Indian Ocean, exhibit improved accuracy (rms ~ - 1.4 nos) over those determined earlier with GEOSAT data.     

Comparison of TOPEX/POSEIDON Altimeter Derived Wind Speed and Wave Parameters with Ocean Buoy Data in the North Indian Ocean

Results of comparison exercises carried out between the state-of-the-art TOPEX/POSEIDON altimeter-derived ocean surface wind speed and ocean wave parameters (significant wave height and wave period) and those measured by a set of ocean data buoys in the North Indian Ocean are presented in this article. Altimeter-derived significant wave height values exhibited rms deviation as small as ±0.3 m, and surface wind speed of ±1.6 m/s. These results are found consistent with those found for the Pacific Ocean. For estimation of ocean wave period, the spectral moments-based semiempirical approach, earlier applied on GEOSAT data, was extended to TOPEX/POSEIDON. For this purpose, distributions of first four years of TOPEX/POSEIDON altimeter data and climatology over the North Indian Ocean were analyzed and a new set of coefficients generated for estimation of wave period. It is shown that wave periods thus estimated from TOPEX/POSEIDON data (for the subsequent two years), when compared with independent data set of ocean data buoys deployed in the North Indian Ocean, exhibit improved accuracy (rms ~ ±1.4 nos) over those determined earlier with GEOSAT data.     

Absolute Calibration of the TOPEX/POSEIDON Altimeters using UK Tide Gauges,GPS, and Precise,Local Geoid-Differences

This article describes an "absolute" calibration of TOPEX/POSEIDON (T/P) altimeter bias using UK tide gauges equipped with Global Positioning System (GPS) receivers. The method is an extension of earlier work using the Newhaven tide gauge in the English Channel. However, the present analysis extends the research to a number of gauges around the UK and incorporates several improvements. The time-averaged TOPEX and POSEIDON biases are obtained with a precision of approximately 2 and 3 cm, respectively. The research complements work on bias determination by other groups in the T/P Science Working Team and can, in principle, be applied at other locations for which precise, local geoid-differences are available. The relatively sparse POSEIDON data set has been used as a test of our ability to perform an absolute calibration of upcoming Jason-1 altimetry as soon as possible after launch.     

Absolute Calibration of the TOPEX/POSEIDON Altimeters using UK Tide Gauges, GPS, and Precise, Local Geoid-Differences

This article describes an "absolute" calibration of TOPEX/POSEIDON (T/P) altimeter bias using UK tide gauges equipped with Global Positioning System (GPS) receivers. The method is an extension of earlier work using the Newhaven tide gauge in the English Channel. However, the present analysis extends the research to a number of gauges around the UK and incorporates several improvements. The time-averaged TOPEX and POSEIDON biases are obtained with a precision of approximately 2 and 3 cm, respectively. The research complements work on bias determination by other groups in the T/P Science Working Team and can, in principle, be applied at other locations for which precise, local geoid-differences are available. The relatively sparse POSEIDON data set has been used as a test of our ability to perform an absolute calibration of upcoming Jason-1 altimetry as soon as possible after launch.     

Accuracy assessment of global ocean tide models in the South China Sea using satellite altimeter and tide gauge data

In this study, to meet the need for accurate tidal prediction, the accuracy of global ocean tide models was assessed in the South China Sea (0°–26°N, 99°–121°E). Seven tide models, namely, DTU10, EOT11a, FES2014, GOT4.8, HAMTIDE12, OSU12 and TPXO8, were considered. The accuracy of eight major tidal constituents (i.e., Q₁, O₁, P₁, K₁, N₂, M₂, S₂ and K₂) were assessed for the shallow water and coastal areas based on the tidal constants derived from multi-mission satellite altimetry (TOPEX and Jason series) and tide gauge observations. The root mean square values of each constituent between satellite-derived tidal constants and tide models were found in the range of 0.72–1.90 cm in the deep ocean (depth>200 m) and 1.18–5.63 cm in shallow water area (depth<200 m). Large inter-model discrepancies were noted in the Strait of Malacca and the Taiwan Strait, which could be attributable to the complicated hydrodynamic systems and the paucity of high-quality satellite altimetry data. In coastal regions, an accuracy performance was investigated using tidal results from 37 tide gauge stations. The root sum square values were in the range of 9.35–19.11 cm, with the FES2014 model exhibiting slightly superior performance.     

东印度洋海域最优深度基准面模型构建

利用东印度洋海域周边长期验潮站实测数据、TOPEX/Poseidon等系列卫星测高反演结果,评估了DTU10,EOT11a,FES2014,GOT4.8,OSU12和TPXO8六种全球潮汐模型精度,根据卫星测高结果给出了浅水分潮改正量和长周期分潮改正量的经验模型,又在此基础上分析并构建了研究区域精度最优的深度基准面模型。考虑到全球潮汐模型在近岸的影响因素及验潮站位置,将13个验潮站分成开阔海域与近海海域两类,与潮汐模型的对比,结果表明,DTU10和FES2014模型分别在开阔海域和近海海域精度最优。根据潮汐模型在不同分潮处的精度,如EOT11a模型在O1和K1分潮处精度较高,DTU10在N2,M2,S2和K2分潮处精度较高等,分别构建了开阔海域与近海海域的组合深度基准面模型,计算得知误差分别为11.33和20.95 cm,其精度显著提高。     

Persian gulf and Oman sea tide modeling using satellite altimetry and tide gauge data (TM-IR01)

Satellite altimetry observations and tide gauge data are invaluable tools to diagnose and resolve tidal constituents over the Oceans and Seas. The aim of this study is to introduce a new purely empirical tide model named TM-IR01 in the Persian Gulf, Oman Sea, and North Indian Ocean. The observations of three altimeter sensors including TOPEX/POSIDON, JASON1, and JASON2 and 13 coastal tide gauge (TG) stations are processed and analyzed in this research. First of all, the least square spectral analysis is utilized to recover the significant tide components and consequently the amplitude and phases of the constituents are found during the tide modeling. Finally, the analysis results are interpolated into a grid of 1/4° using the Kriging method. TM-IR01 model is validated by comparing with TG stations and global tide models. It is shown that for main tidal frequencies M2, S2, K1, and O1 the root mean square error (RMSE) between TM-IR01 and TG stations results are 0.372, 0.130, 0.141, and 0.084?m, respectively, and also the RMSE between TM-IR01 and FES2004 models are 0.231, 0.087, 0.027, and 0.042?m, respectively. Validating with FES2012 and Tpxo7.2, the results obtained are close to the above values.     

Modeling Local Tidal Constituents Using TOPEX/POSEIDON SSH for the Malaysian Marine Region

A new Local Ocean Tide Model, has been produced for the Exclusive Economic Zone (EEZ) of Malaysia, which incorporates some of the latest TOPEX/POSEIDON data for the years 1992 to 1998. Local tide gauge data are used as a comparison, along with another leading Global Ocean Tide Model, Ori96. The leading diurnal and semidiurnal constituents M₂, S₂, N₂, K₁, O₁, P₁ and Q₁ are reproduced using TOPEX/POSEIDON Sea Surface Heights (SSH) in a response analysis type least squares derivation following Munk and Cartwright (1966).     

山东邻海长周期分潮对深度基准面的影响分析

利用潮汐模型NAO.99Jb和FES2014确定了山东邻海的深度基准面模型并对其精度进行了评估,结果表明,NAO.99Jb模型确定的深度基准值L10的中误差为23.28 cm,FES2014模型确定的深度基准值L13的中误差为34.37 cm,长周期分潮的相对误差过大导致加入长周期分潮改正项后深度基准值中误差分别增大了11.04 cm和12.38 cm,较其他分潮对深度基准值精度的影响更明显,所以基于潮汐模型构建深度基准面模型时,长周期分潮部分必须加入实测数据改正。进一步采用山东邻海13个长期验潮站实测数据,定量地分析了长周期分潮对深度基准面确定的影响,结果表明,长周期分潮改正项的量值介于13.89~22.39 cm,平均改正值为18.03 cm,在深度基准值中占比达到15.15%。因此,长周期分潮改正对深度基准面的精确确定研究贡献较大,准确的长周期分潮模型是构建高精度深度基准面模型的基础。     

Modeling Local Tidal Constituents Using TOPEX/POSEIDON SSH for the Malaysian Marine Region

A new Local Ocean Tide Model, has been produced for the Exclusive Economic Zone (EEZ) of Malaysia, which incorporates some of the latest TOPEX/POSEIDON data for the years 1992 to 1998. Local tide gauge data are used as a comparison, along with another leading Global Ocean Tide Model, Ori96. The leading diurnal and semidiurnal constituents M₂, S₂, N₂, K₁, O₁, P₁ and Q₁ are reproduced using TOPEX/POSEIDON Sea Surface Heights (SSH) in a response analysis type least squares derivation following Munk and Cartwright (1966).     

台风浪模拟预报中的风场比较研究

在对模拟台风浪时海浪模式常用的经验模型风场和多重嵌套中尺度气象数值模式风场的结构和时间演变特征进行对比分析的基础上,分别采用这两种风场资料,应用最新版本的第三代海浪模式SWAN对Winnie(1997)引起的台风浪进行了模拟,将模拟的有效波高与TOPEX/POSEIDON和ERS-2卫星高度计资料作了详细的对比分析。结果表明,经验模型风场对实际台风风场的刻画存在诸多缺陷,这些缺陷对于台风浪的准确模拟产生了不可忽视的影响,采用模式风场试验的模拟效果优于采用模型风场的试验。论文提出了在运用海浪模式模拟台风浪时用数值模式模拟风场替代经验模型风场的必要性。     

TOPEX/POSEIDON高度计浅海潮汐混淆的初步分析

根据对卫星轨道特征和观测结果的分析,对TOPEX/POSEIDON(简称T/P)星载高度计在我国近海的潮致混淆现象进行了初步研究.分析表明,在浅海区T/P高度计的观测结果存在很强的潮致高频混淆.NASA分发的地球物理记录中所提供的潮汐订正值虽适用于大洋,但不能有效地除去浅海潮汐.虽然如此,T/P潮致混淆的主要频段的周期小于90d,因而可以通过滤波方法提取周期较长的海面高度季节信号,从而用于季节环流(如南海季风环流)的研究.采用FFT/IFFT方法滤波试验的结果显示,T/P的海面高度观测结果有很高的精度,滤波处理后的海面高度距平变化和地面潮位观测结果一致性良好,上、下行轨道交叉处相邻测点间的标准偏差在3cm左右,可满足南海环流研究的需要.     

Reduction of geoid gradient error in ocean variability from satellite altimetry

Altimeter measurements of sea‐level variability have errors due to the altimeter not repeatedly sampling the same point on the ocean surface. The errors are proportional to the local slope of the mean sea surface. Accurate removal of geoid error is essential if altimeter data are to be used to study the relationship between geostrophic turbulence and bathymetry. The error can be reduced by using an accurate model of the mean surface. We use the multiyear TOPEX altimeter data set to develop a model for the mean sea surface along the TOPEX/POSEIDON ground track by estimating the coefficients of a local plane centered on every 2 km x 7 km bin sampled by the altimeter. We have evaluated the ability of this model. compared against two global mean sea‐surface models, to reduce the error associated with steep gradients. The two global models are the Center for Space Research 1995 model and the Ohio State University 1995 model. The three models show similar variability over the oceans, and none shows the large residual errors that can be seen in collinear analysis near some seamounts and trenches. The standard deviation of the variability using the plane model, however, is consistently smaller in low‐variability, high‐geoid‐gradient areas, indicating a slightly better performance than the two global models.     

Testing recent global ocean tide models with loading gravimetric data

As soon as altimetric data from Topex/Poseidon satellite were available, several ocean tide models were able to be constructed by different teams in response to the scientific community request. Here we present a complement to a first comparison study made with ten tidal models ( and , 1996). We use five more models of which some are updated versions computed using longer time series of altimetric data. The loading tide effects predicted by these models are compared to a data base of 228 gravimetric stations provided by the International Center for Earth Tides ( , 1994). Global statistical tests provide us with the relative performances of the models. Merging the five new models with the ten previous models allows us to make more general conclusions. CSR3.0 ( , 1994) remains the best of the fifteen models for the M₂ constituent (standard deviation of 0.425 μgal). For the O₁ constituent, Schwiderski ( , 1980) with a standard deviation of 0.298 μgal, gives the best results. When considering only regional subsets of gravimetric data, no ocean tide model systematically performs better than any other.     

基于卫星测高数据的潮汐分析方法对比研究

基于卫星测高数据的潮汐分析是建立海潮模型的基本方法之一,主要包括调和分析方法和正交响应分析方法。利用上述两种方法对中国海和西太平洋海域的Topex/Poseidon(TP)、Jason-1(J1)和Jason-2(J2)卫星测高数据进行了潮汐分析,并将两种方法的计算结果进行对比研究。结果表明,观测时间序列的长度对潮汐信息提取的准确度有较大影响。满足分离任意两个分潮会合周期的卫星测高观测时间序列下,两种方法的准确度基本相同。短时段的数据受混叠效应影响明显,正交响应分析较调和分析准确度更高。     

利用验潮站数据进行三种潮汐模型的精度分析

采用全球分布的565个验潮站水位资料对NAO.99b,CSR4.0和TPXO7.2三种潮汐模型进行精度评估。结果表明:在全球海洋范围内,NAO.99b模型精度最高;在黄海海域,TPXO7.2模型的精度最高;在东海和南海海域,则是NAO.99b模型最优;在深海海域,三种模型精度差异不大;在浅海海域,采用同化方法的潮汐模型比采用经验方法的潮汐模型更有优势。