Anomalous amplifications of semidiurnal tides along the western coast of Taiwan

By compiling all the tidal data gathered from island-wide results of simple harmonic analysis, anomalous amplifications of semidiurnal tides along the western coast of Taiwan are illustrated. The mechanisms are investigated both theoretically and numerically by applying the linear shallow-water wave equations. Waves trapped by a continental shelf and resonance of tidal co-oscillation are identified theoretically. Numerically, a two-dimensional finite element model is applied to real topography for tidal computations. The co-range and equi-phase charts of three main semidiurnal constituents (M₂, S₂, and N₂) and one diurnal constituent K₁ are calculated. Anomalous amplifications of semidiurnal tides that appear as partially standing waves are demonstrated.     

A two-dimensional numerical model for tidal motion in the Taiwan Strait

A finite difference solution for two-dimensional nonlinear hydrodynamic equations is obtained to model the tides and tidal currents in the Taiwan Strait. The major semidiurnal waves are computed simultaneously. The agreement between the computed results and the observed data is considered satisfactory. The distributions of tides and tidal currents are illustrated.     

Numerical computation of tidal currents in the eastern and southern parts of the East China Sea

Numerical simulation on diurnal and semidiurnal tidal currents is made for the eastern and southern parts of the East China Sea bounded by the Tsushima, islands of Kyushu and Ryukyu in the east and extending to the central Taiwan Strait in the south. The numerical computation shows that the rapid variation in the seabed topography near the Okinawa Trough may cause computational instability and this instability can be removed by setting a suitable lateral eddy viscosity. The computed results are in good agreement with the observations and indicate that the tidal currents in the greater part of the area studied rotate clockwise. An M2 current-amphidromic point exists in the southern part of the Korea Strait and another one appears in the west of Okinawa with less certainty. K1 and M2 cotidal charts based on the observed and computed tidal currents in the sea and the observed tides on the coast are also given.     

内潮耗散与自吸-负荷潮对南海潮波影响的数值研究

利用非结构三角形网格的FVCOM海洋数值模式,在其传统二维潮波方程中加入参数化的内潮耗散项和自吸-负荷潮项,计算了南海及其周边海域的M_2、S_2、K_1和O_1分潮的分布。与实测值的比较表明,引入这两项对模拟准确度的提高有明显效果。根据模式结果本文计算分析了研究海域的潮能输入和耗散。能量输入计算表明,能通量是潮能输入的最主要构成部分,通过吕宋海峡断面进入南海的M_2和K_1分潮能通量分别为38和29GW;半日周期的自吸-负荷潮能量输入以负值居多,而全日周期的自吸-负荷潮能量输入以正值居多,因而自吸-负荷潮减弱了南海的半日潮,并加强了南海的全日潮。引潮力的作用也减弱了半日潮而加强了全日潮,但其作用要小于自吸-负荷潮。潮能耗散的分析显示底摩擦耗散在沿岸浅水区域起主导作用,内潮耗散则主要发生在深水区域。内潮耗散的最大值出现在吕宋海峡,且位于南海之外的海峡东部的耗散量大于位于南海之内的海峡西部的耗散量。对M_2和K_1分潮吕宋海峡的内潮耗散总值分别达到16和23GW。     

台湾海峡及其邻近海域潮汐数值计算

建立二维潮波模式,模拟了台湾海峡及其邻近海域（18～30°N,110～130°E）八个主要分潮（M2、S2、K1、O1、P1、Q1、K2、N2）,并利用中国大陆及环台湾岛20多个潮位站的实洲资料进行验证,计算结果与实测值吻合良好。此外,给出了八个主要分潮的同潮图,并逐个讨论了潮汐特征。结果艟示：（1）台湾海峡中的潮波运动是北部蜕化了的旋转潮波系统和南部的前进潮波系统共同作用的结果。（2）半日分潮南、北两支潮波在台湾海峡中部汇合,而今日分潮则在台湾海峡南部海域汇合后继续朝西南方向传播。（3）半日分潮振幅最高值发生在福建省湄洲湾－兴化湾一带,全日分湖最高值则出现在雷州半岛以东一带近岸海域。（4）N2、K2和O1、P1、Q1分湖的振幅、迟角分布分别同M2与K1分潮的整体分布趋势相似。     

Characteristics of Tides in the Bay of Bengal

A vertically integrated 2D numerical model was developed for the simulation of major tidal constituents (M₂, S₂, N₂, K₁ and O₁) in the Bay of Bengal. The bathymetry for the model domain was derived from an improved ETOPO5 dataset prepared in our earlier work. The simulated tidal elevations showed good agreement with the hourly tide gauge observations at Paradip, Visakhapatnam, and Chennai. The amplitudes and phases of M₂, S₂, K₁, and O₁ at the coastal stations, obtained from harmonic analysis of simulated tides, were found to agree well with those obtained from Admiralty Tide Tables with the RMS misfit 9.2, 5.6, 2.9 and 3.1 cm, respectively. In the Bay of Bengal, semi-diurnal tides (M₂, S₂, and N₂) attain highest amplitudes (180, 80, 30 cm, respectively) in the Gulf of Martaban while amplitudes of diurnal tides (K₁, O₁) reaches maximum (20, 12 cm, respectively) in the Malacca Strait. The continental shelf in the head bay and along the southern coast of Myanmar is about 200 km wide and the amplitudes of semi-diurnal tides are doubled in these regions while the diurnal tides amplify only marginally, which is consistent with Clarke and Battisti theory. In the north eastern end of the head bay and the Gulf of Martaban, the geometrical configuration of the coastline, in addition to the wide continental shelf, could contribute to the amplification of both semi-diurnal and diurnal constituents. In the Malacca Strait, the amplitudes of both semi-diurnal and diurnal tides are found to increase gradually from the northern end to the 2.5°N and decreases towards southern boundary. The co-tidal and co-range charts of M₂ and S₂ tidal constituents also show the presence of two degenerate amphidromic points in the head bay. A virtual amphidromic point for M₂ is identified in the Malacca Strait.     

利用多源高度计资料提取南海低模态内潮能量

吕宋海峡由于剧烈变化的地形成为内潮产生的源地,内潮是海洋混合的重要原因。为了认知南海的内潮能通量分布,对南海的内潮有更好的理解,本文利用21世纪以来发射的多颗高度计卫星:J2、J1T、GFO以及EN,提取了吕宋海峡附近内潮的能通量。研究使用了调和分析和高通滤波等方法来提取第一模态内潮,主要提取K_1,K_2,M_2,N_2,O_1,P_1,Q_1和S_2八个分潮。同时结合WOA数据对能通量进行计算。结果表明,目标区域潮汐以全日分潮为主,所选区域的全日分潮中K_1所占比例最大;半日分潮中M_2分潮最强,而内潮的能通量则是M_2分潮所占最大,在吕宋海峡区域M_2能通量为6.45GW。内潮主要产生在地形变化剧烈的地方,海域的大部分地区内潮能量很小。在吕宋海峡中部,全日分潮能通量要小于南部地区,而半日分潮则有较大值。     

Tides and tidal currents along the Okhotsk coast of Hokkaido

The development and propagation of the diurnal tidal currents along the Okhotsk coast of Hokkaido is made clear using newly obtained data. the diurnal currents are generated at the Soya Strait by the difference of the tidal amplitude and phase between the Sea of Okhotsk and the Japan Sea, and propagate as the shelf waves trapped along the coast. As a result, the amplitude in the coast becomes small and the phase is advanced for 12 hours compared to those in the offshore area. For the semidiurnal tides, the influence of the difference of the tides between both seas is restricted near the strait because they are quickly dispersed as the Poincaré wave.     

Circulation pattern and current variations with respect to tidal frequency in the sea near the head of Suruga Bay

Current measurements were conducted 10 m below the sea surface near the head of Suruga Bay intermittently from 1970 to 1978. The circulation pattern is usually counterclockwise; northward along the east coast (off Heda and at the mouth of Uchiura Inlet), westward along the north coast (off Fuji), and southwestward along the west coast (off Shimizu). The amplitudes of the four major tidal constituents of current variation, M₂, S₂, K₁ and O₁, are much larger than those expected from sea level variations along the coast. The amplitudes of the diurnal constituents of current variation are much larger than those of the semidiurnal constituents, while the amplitudes of the semidiurnal constituents of sea level variation are much larger than those of the diurnal constituents. The observed amplitude of the predominant diurnal constituents exhibit large seasonal changes and tend to increase with the development of the stratification of the upper part of the water in Suruga Bay. These facts strongly suggest that the observed current variations are mainly associated with internal tides in Suruga Bay.     

台湾海峡及其邻近海域潮汐数值计算

建立二维潮波模式,模拟了台湾海峡及其邻近海域(18-30°N,110-130°E)八个主要分潮(M2、S2、K1、O1、P1、Q1、K2、N2),并利用中国大陆及环台湾岛20多个潮位站的实测资料进行验证,计算结果与实测值吻合良好.此外,给出了八个主要分潮的同潮图,并逐个讨论了潮汐特征.结果显示:⑴台湾海峡中的潮波运动是北部蜕化了的旋转潮波系统和南部的前进潮波系统共同作用的结果.⑵半日分潮南、北两支潮波在台湾海峽中部汇合,而全日分潮则在台湾海峽南部海域汇合后继续朝西南方向传播.⑶半日分潮振幅最高值发生在福建省湄洲湾—兴化湾一带,全日分潮最高值则出现在雷州半岛以东一带近岸海域.⑷N2、K2和O1、P1、Q1分潮的振幅、迟角分布分别同M2与K1分潮的整体分布趋势相似.     

台湾海峡夏季与冬季的水体及热盐通量观测

利用在台湾海峡附近的下放式声学多普勒流速剖面仪(Lowered Acoustic Doppler Current Profiler,LADCP)观测资料和温盐观测资料,通过对连续站的两个季节观测进行正压和斜压潮流分析从而去除潮流得到准定常流,并在此基础上计算了南海和东海之间通过台湾海峡输运的水体及热盐通量。结果表明:台湾海峡大部分海域是半日潮海区(正规半日潮及不正规半日潮海区),半日潮主要分量为太阴半日分潮M2;台湾海峡的水体输运及热盐通量呈现明显的季节变化:夏季台湾海峡内表现为一支东北流向的海流,即台湾海峡暖流,存在3.3 Sv(1Sv=106 m3/s)的东北向水体输运,冬季东北季风较强,西南方向的海流加强,混合层可达到底部,存在1.8 Sv的东北向水体输运。与此对应的热盐通量分别为:夏季热通量为0.34×1015 W,盐通量为118.6×109 g/s;冬季热通量为0.14×1015 W,盐通量为72.9×109 g/s。该结果对台湾海峡通量的研究给出了一个直接观测的准确值,并为相关的数值研究提供了参考。     

南海北部陆架海域内潮特征的观测研究

利用2014年南海东沙岛西北部海域70余天的流速剖面高频观测资料,研究分析了该海区正压潮、内潮的时空分布特征。结果表明,观测海区正压潮流以O_1,K_1,M_2,S_2为主;斜压潮流中,除四大分潮之外,MU_2与2Q_1分潮能量也较强;内潮的主轴方向基本沿东南-西北方向,近似与局地等深线垂直。全日内潮的锁相部分占全日内潮能量的17.5%,而半日内潮的锁相部分占半日内潮能量的30%;进一步研究发现半日内潮主要由第一模态主导,而全日内潮第二模态占比50%,约为其第一模态能量的两倍;内潮模态能量占比显示出显著的大小潮调制的半月周期。对比不同垂向模态计算方法发现,当流速观测深度有限时,利用全水深温盐资料计算观测范围内流速垂向模态是更为准确的方式。     

基于FVCOM的南海北部海域潮汐潮流数值模拟

基于非结构三角形网格的FVCOM(finite-volume coastal ocean model )数值模型, 对南海北部海域的潮汐、潮流进行了精细化数值模拟研究, 并根据模拟结果详细分析了M2, S2, K1, O1 分潮的潮汐和潮流特征。研究结果表明: 神泉港到甲子港海域表现为正规全日潮性质, 珠江口附近海区潮汐以不正规半日潮为主, 其他海域主要表现为不规则全日潮; 陆架海域和深水海域主要表现为往复流, 陆架坡折区存在较强的旋转流, 陆架坡折区为不规则半日潮流和不规则全日潮流的分界线; 东沙群岛附近海域以不规则全日潮流为主, 旋转方向为顺时针; 整个海域的最大流速分布与等深线基本平行, 东沙群岛附近速度明显变大, 最大值出现在台湾浅滩附近, 最大值超过70 cm/s; 南海潮波系统以巴士海峡传入的大洋潮波为主, 分为三支潮流, 以不同的形式进出南海北部海域; 余流在台湾浅滩附近达到最大, 超过6 cm/s, 自南向北进入台湾海峡, 近岸余流自东向西沿岸流动。本研究在东沙群岛周边的模拟结果与前人基于实测资料的分析吻合较好, 并且由于采用了高精度的三角网格, 本文对东沙群岛周边海域的潮汐潮流结构和性质的刻画和分析是迄今为止较为精细的, 同时本研究还提高了对沿岸验潮站调和常数的模拟精度。     

Numerical study of baroclinic tides in Luzon Strait

The spatial and temporal variations of baroclinic tides in the Luzon Strait (LS) are investigated using a three-dimensional tide model driven by four principal constituents, O₁, K₁, M₂ and S₂, individually or together with seasonal mean summer or winter stratifications as the initial field. Barotropic tides propagate predominantly westward from the Pacific Ocean, impinge on two prominent north-south running submarine ridges in LS, and generate strong baroclinic tides propagating into both the South China Sea (SCS) and the Pacific Ocean. Strong baroclinic tides, ∼19 GW for diurnal tides and ∼11 GW for semidiurnal tides, are excited on both the east ridge (70%) and the west ridge (30%). The barotropic to baroclinic energy conversion rate reaches 30% for diurnal tides and ∼20% for semidiurnal tides. Diurnal (O₁ and K₁) and semidiurnal (M₂) baroclinic tides have a comparable depth-integrated energy flux 10–20 kW m⁻¹ emanating from the LS into the SCS and the Pacific basin. The spring-neap averaged, meridionally integrated baroclinic tidal energy flux is ∼7 GW into the SCS and ∼6 GW into the Pacific Ocean, representing one of the strongest baroclinic tidal energy flux regimes in the World Ocean. About 18 GW of baroclinic tidal energy, ∼50% of that generated in the LS, is lost locally, which is more than five times that estimated in the vicinity of the Hawaiian ridge. The strong westward-propagating semidiurnal baroclinic tidal energy flux is likely the energy source for the large-amplitude nonlinear internal waves found in the SCS. The baroclinic tidal energy generation, energy fluxes, and energy dissipation rates in the spring tide are about five times those in the neap tide; while there is no significant seasonal variation of energetics, but the propagation speed of baroclinic tide is about 10% faster in summer than in winter. Within the LS, the average turbulence kinetic energy dissipation rate is O(10⁻⁷) W kg^{− 1} and the turbulence diffusivity is O(10⁻³) m²s⁻¹, a factor of 100 greater than those in the typical open ocean. This strong turbulence mixing induced by the baroclinic tidal energy dissipation exists in the main path of the Kuroshio and is important in mixing the Pacific Ocean, Kuroshio, and the SCS waters.     

Oceanic tidal angular momentum and Earth's rotation variations

Luni-solar tides affect Earth's rotation in a variety of ways. We give an overview of the physics and focus on the excitation of Earth rotational variations by ocean tides under the conservation of angular momentum. Various models for diurnal and semidiurnal tidal height and tidal current fields have been derived, following a legacy of a number of theoretical tide models, from the Topex/Poseidon (T/P) ocean altimetry data. We review the oceanic tidal angular momenta (OTAM) predicted by these T/P models for the eight major tides (Q₁, O₁, P₁, K₁, N₂, M₂, S₂, K₂), and their excitations on both Earth's rotational speed variation (in terms of length-of-day or UT1) and polar motion (prograde diurnal/semidiurnal components and retrograde semidiurnal components). These small, high-frequency effects have been unambiguously observed in recent years by precise Earth rotation measurements via space geodetic techniques. Here we review the comparison of the very-long-baseline-interferometry (VLBI) data with the T/P OTAM predictions. The agreement is good with discrepancies typically within 1 – 2 microseconds for UT1 and 10 – 30 microarcseconds for polar motion. The eight tides collectively explain the majority of subdaily Earth rotation variance during the intensive VLBI campaign Cont94. This establishes the dominant role of OTAM in exciting the diurnal/semidiurnal polar motion and paves the way for detailed studies of short-period non-OTAM excitations, such as atmospheric and oceanic angular momentum variations, earthquakes, the atmospheric thermal tides, Earth librations, and the response of the mantle lateral inhomogeneities to tidal forcing. These studies await further improvements in tide models and Earth rotation measurements.     

Tides and tidal currents in the Tusima Strait

Tides and tidal currents in the Tusima Strait are described, and cotidal charts are re-edited on the basis of intensive analysis of observed data. Some remarkable features are revealed as follows;

台湾海峡M2分潮潮波研究进展

台湾海峡内各种与潮波相关的现象,可以归因于在地形及岸线的影响下自台湾海峡南北两端进入的潮波的相互作用。近20余年来台湾海峡潮波的研究获得显著进展,然而即使作为台湾海峡主要分潮的M2分潮,其相关研究中也还存在着诸多分歧。从台湾海峡M2分潮潮波分布特征及解释研究出发,并针对以往各种研究中差别较大的M2分潮潮流的分布及变化特征,归纳总结了相关研究的主要分歧：(1)对台湾海峡M2分潮潮波的研究的争议主要集中在2点,包括对自台湾海峡南、北两端进入海峡的潮波的作用范围的研究以及台湾海峡内部潮波系统形成机制的探讨;(2)台湾海峡M2分潮潮位分布研究的主要分歧在于对台湾岛西岸潮时潮差的分布特征的解释;(3)台湾海峡M2分潮潮流研究中最大的差异在于对最大潮流同潮时线分布特征的描述,其实质仍为对潮波作用范围的描述;对应于M2分潮最大潮流同潮时线研究观点的差异,在M2分潮圆流点是否存在、圆流点存在位置及圆流点旋转方向的研究上也存在着较大的差异;对台湾海峡内部椭圆率为零的分隔线位置的讨论,主要分歧在于该椭率零线靠近台湾岛附近及澎湖列岛附近时的分布状况。此外,最强流区的位置判定及极值区潮流流速量值的大小问题上也存在差异。     

渤、黄、东海潮汐、潮流的数值模拟与研究

基于FVCOM海洋数值模式,采用高分辨率的三角形网格,对渤、黄、东海的潮汐、潮流进行数值模拟,并通过比较120个沿岸验潮站和14个潮流观测站的实测与模拟结果进行模型验证,两者符合较好。根据模拟结果,给出了四个主要分潮的潮汐同潮图和5m层潮流最大流速及最大潮流同潮时分布。渤、黄、东海共有5个半日分潮和3个全日分潮的独立旋转潮波系统,且都呈逆时针方向旋转;半日潮流和全日潮流各有12个圆流点;在冲绳岛和奄美岛两侧的4个半日潮流圆流点分别呈对称分布,其中有3个为本文首次给出;在日本九州岛西侧还新给出2个全日潮流圆流点。有关它们的存在性需要实测资料的进一步检验。     

北部湾潮波数值研究

利用普林斯顿海洋模式(POM08)建立了北部湾及其临近海区潮汐潮流数值模式,模拟了K1,O1,M2和S2这4个主要分潮,分析了模拟的潮汐和潮流分布特征,从潮波能量的角度讨论了琼州海峡对北部湾潮波系统的影响,并给出北部湾潮能的耗散情况。研究表明,北部湾是典型的全日潮海区,K1和O1分潮在南部湾口形成半个旋转潮波系统,无潮点位于越南顺安附近岸边。琼州海峡中的欧拉潮汐余流为西向流,潮余流造成的水通量约为0.034×106m3/s;余流出海峡西口后,先折向北,然后转向南流出湾外。研究海区中两个强潮流区分别位于琼州海峡和海南岛的西侧,同时这也是两个潮能的高耗散区。北部湾的潮能自南部湾口由外海传入,通过西口涌入琼州海峡,到达海峡东口时日潮波的能量已基本耗散殆尽,在海峡内耗散的4个分潮的潮能约为3.33 GW,相当于北部湾潮能耗散量的35%左右。数值试验表明,琼州海峡作为潮能耗散的重要海区,其存在对于北部湾潮波系统的形成具有较大影响。计算了底边界潮能耗散,结果表明在北部湾和琼州海峡,底边界耗散的潮能分别占该海区总耗散的83%和80%。     

Clockwise phase propagation of semi-diurnal tides in the Gulf of Thailand

The phase of semi-diurnal tides (M₂ and S₂) propagates clockwise in the central part of the Gulf of Thailand, although that of the diurnal tides (K₁, O₁ and P₁) is counterclock-wise. The mechanism of clockwise phase propagation of semi-diurnal tides at the Gulf of Thailand in the northern hemisphere is examined using a simple numerical model. The natural oscillation period of the whole Gulf of Thailand is near the semi-diurnal period and the direction of its phase propagation is clockwise, mainly due to the propagation direction of the large amplitude part of the incoming semi-diurnal tidal wave from the South China Sea. A simplified basin model with bottom slope and Coriolis force well reproduces the co-tidal and co-range charts of M₂ tide in the Gulf of Thailand.