• Title/Summary/Keyword: Harmonic analysis of tides

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Sea Level Change due to Nonlinear Tides in Coastal Region (연안해역에서 비선형 조석으로 인한 해수면 변화)

  • Jung, Tae Sung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.5
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    • pp.228-238
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    • 2017
  • In coastal region, tidal harmonic constants of semi-diurnal tides and nonlinear tides were collected. The observed tide data of KHOA were analyzed by a tide harmonic analysis method. In the southwestern coasts and Han river estuary, nonlinear tides are clearly generated. The generation of tide non-linearity and tide asymmetry is closely related with tide form factor in Korean coastal zone. Tide non-linearity and asymmetry in Mokpo harbour have increased by a series of coastal development projects. The increase has caused rise of high water level and drop of low water level, and increase of tidal range. In Kunsan Outport, tidal range has been declined due to inter-annual change of nonlinear tides after completion of Samangeum sea-dyke.

A Study on Precise Tide Prediction at the Nakdong River Estuary using Long-term Tidal Observation Data (장기조석관측 자료를 이용한 낙동강 하구 정밀조위 예측 연구)

  • Park, Byeong-Woo;Kim, Tae-Woo;Kang, Du Kee;Seo, Yongjae;Shin, Hyun-Suk
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.28 no.6
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    • pp.874-881
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    • 2022
  • Until 2016, before discussions on the restoration of brackish water of the Nakdong River Estuary started in earnest, the downstream water level was predicted using the data of existing tide level observatories (Busan and Gadeokdo) several kilometers away from the estuary. However, it was not easy to carry out the prediction due to the dif erence in tide level and phase. Therefore, this study was conducted to estimate tide prediction more accurately through tidal harmonic analysis using the measured water level affected by the tides in the offshore waters adjacent to the Nakdong River Estuary. As a research method, the storage status of observation data according to the period and abnormal data were checked at 10-minute intervals in the offshore sea area near the Nakdong River Estuary bank, and the observed and predicted tides were measured using TASK2000 (Tidal Analysis Software Kit) Package, a tidal harmonic analysis program. Regression analysis based on one-to-one comparison showed that the correlation between the two components was high correlation coef icient 0.9334. In predicting the tides for the current year, if possible, more accurate data can be obtained by harmonically analyzing one-year tide observation data from the previous year and performing tide prediction using the obtained harmonic constant. Based on this method, the predicted tide for 2022 was generated and it is being used in the calculation of seawater inflow for the restoration of brackish water of the Nakdong River Estuary.

A Revisit to the Myungryang Naval Battle through Hindcasting Tidal Currents and Tides (명량해전 당일 울돌목 조류.조석 재현을 통한 해전 전개 재해석)

  • Byun, Do-Seong;Lee, Min-Woong;Lee, Ho-Jung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.2
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    • pp.189-197
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    • 2011
  • As a multidisciplinary study encompassing oceanography and history, we have attempted to reanalyze the course of a historical navel battle, Myungryang Naval Battle(September 16th, 1597 according to the lunar calendar) through hindcasting the paleo-tidal currents and -tides(PTC). Firstly, we conducted harmonic analysis using 6-month current data observed at Uldolmok and 1-year elevation data provided by Korea Ocean Research and Development Institute in order to understand their characteristics and to hindcast the PTC. Observation results show that Uldolmok, ~300m wide, relatively narrow channel, is characterized by a flood-dominant mixed mainly semidiurnal tidal regime induced by relatively-strong shallow water constituents, showing closely a standing wave type of tidal current. Further, we hindcasted PTC on the day of Myungryang Naval Battle. Our results were compared and discussed with results(time and speeds of maximum(flood and ebb) currents and high and low water times) of the previous studies estimated from different methods. Lastly, we reconstruct the course of the event of Myungryang Naval Battle recorded in the Admiral Sun-Sin Yi's War Diary(Nangjung Iigi in Korean) based on our hindcasting results.

Exploring Estimation of Paleo-tides and -tidal Currents Using a Harmonic Analysis Method in pre-19th Century (조화분해법을 이용한 19세기 이전 고조석 및 고조류 추산 고찰)

  • Byun, Do-Seong
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.15 no.4
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    • pp.203-206
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    • 2010
  • We examined five astronomical variables formulas of the two conventional harmonic prediction programs (IOS tidal package (IOS) and Task-2000 tidal package (Task2K)) in relation to hindcast of paleo-tides and -tidal currents on historical navel battlefields such as Myeongryang Naval Battle (September 16th, 1597 according to the lunar calendar). Through the comparison of the resultant values in a certain time (00:00 January 1) of each year (1801, 1800 and 1597) calculated from the two different formulas, we understood that the reason why Task2K is incapable of hindcating them in pre-19th century, Specifically, we found that the Task2K formulas directly using the Gregorian calendar date did not identify leap years in calculating astronomical variables beyond the period of 1801-2099. Therefore, the IOS's formulas, which use the day number referenced on midnight 1/1/0000, are recommended for use in hindcasting paleo-tides and -tidal currents on historical navel battles in pre-19th century.

A Study on the Tidal Harmonic Analysis, and long-term Sea Level Ocillations at Incheon Bay (인천만의 조석조화해석 및 장기해수면 변동연구)

  • Lee, Yong-Chang
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.28 no.5
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    • pp.505-513
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    • 2010
  • This study investigate the characteristics of tidal constituents, and long-term mean sea level oscillations at Incheon bay. For this, the conditions of three tide stations around Incheon bay have examined, and carried out harmonic analysis on water level data for periods of about 40 years(1960~2007). Four major tidal constituents($M_2$, $S_2$, $K_1$, $O_1$) of each tide station showed tendency that change over the 18.61year lunar node cycle, and the type of tide at three stations is mainly semi-diurnal tides. And also, the past monthly tidal modulations are especially sensitive to the cumulative year of water level data in accuracy of tidal prediction. In case that regard the detached data at three tide stations as a single time series data of 40 years, the results of analysis on a single time series, long-term mean sea level oscillations and modulations of tidal datum at tide stations appears with a range of about 10cm, respectively. In addition, the predicted tides at the Inchcon harbor by global and regional tide models of OSU(Oregon State University) based on various satellite altimetric(Topex Poseidon, Topex Tandem, ERS, GFO) data are compared with the observed tides by KHOA(the Korea Hydrographic and Oceanographic Administration). The results show that the high resolution regional model is a quite good agreement at coastal shallow water region.

A Study on the Tide Differences in the Tide Tables of Major Ports in Korea - Focusing on the Comparison of UK and Korean Harmony Constants - (국내 주요항 조석표상 조석 차이에 관한 연구 - 영국과 한국 조화상수 비교를 중심으로 -)

  • Jeon, Jae-Ho;Moon, Serng-Bae
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.25 no.7
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    • pp.827-833
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    • 2019
  • There are several factors to consider for a ship to enter or depart a port safely. It is particularly important to identify the tides in the port to reduce the risk of stranding the ship. Most previous studies have focused on finding and analyzing harmonic constants. However, the research on the analysis and accuracy of harmonic constants in other hydrographic agencies is lacking. In this study, six Korean ports (Incheon, Gunsan, Yeosu, Busan, Ulsan, and Sokcho) were compared to the British and Korean tide tables based on actual information. To find the cause of tidal difference, the tide height, tide time, and form factor were calculated using harmonic constants. The information was then compared with British and Korean data. As a result of the difference in analysis of actual information and tide tables, there was a difference between the actual tide height and time at each port. The cause was found to be the difference in the harmonic constant, tide, and form factor between the UK and Korea. Therefore, this study, the Korean standard port should be added to the British tide table, and harmonic constants, which are the criteria for creating tides, must be constantly updated with the latest information. Additionally, the tide tables produced in each country are more accurate than the tide tables produced in UK.

Estimation of the Lowest and Highest Astronomical Tides along the west and south coast of Korea from 1999 to 2017 (서해안과 남해안에서 1999년부터 2017년까지 최저와 최고 천문조위 계산)

  • BYUN, DO-SEONG;CHOI, BYOUNG-JU;KIM, HYOWON
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.24 no.4
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    • pp.495-508
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    • 2019
  • Tidal datums are key and basic information used in fields of navigation, coastal structures' design, maritime boundary delimitation and inundation warning. In Korea, the Approximate Lowest Low Water (ALLW) and the Approximate Highest High Water (AHHW) have been used as levels of tidal datums for depth, coastline and vertical clearances in hydrography and coastal engineering fields. However, recently the major maritime countries including USA, Australia and UK have adopted the Lowest Astronomical Tide (LAT) and the Highest Astronomical Tide (HAT) as the tidal datums. In this study, 1-hr interval 19-year sea level records (1999-2017) observed at 9 tidal observation stations along the west and south coasts of Korea were used to calculate LAT and HAT for each station using 1-minute interval 19-year tidal prediction data yielded through three tidal harmonic methods: 19 year vector average of tidal harmonic constants (Vector Average Method, VA), tidal harmonic analysis on 19 years of continuous data (19-year Method, 19Y) and tidal harmonic analysis on one year of data (1-year Method, 1Y). The calculated LAT and HAT values were quantitatively compared with the ALLW and AHHW values, respectively. The main causes of the difference between them were explored. In this study, we used the UTide, which is capable of conducting 19-year record tidal harmonic analysis and 19 year tidal prediction. Application of the three harmonic methods showed that there were relatively small differences (mostly less than ±1 cm) of the values of LAT and HAT calculated from the VA and 19Y methods, revealing that each method can be mutually and effectively used. In contrast, the standard deviations between LATs and HATs calculated from the 1Y and 19Y methods were 3~7 cm. The LAT (HAT) differences between the 1Y and 19Y methods range from -16.4 to 10.7 cm (-8.2 to 14.3 cm), which are relatively large compared to the LAT and HAT differences between the VA and 19Y methods. The LAT (HAT) values are, on average, 33.6 (46.2) cm lower (higher) than those of ALLW (AHHW) along the west and south coast of Korea. It was found that the Sa and N2 tides significantly contribute to these differences. In the shallow water constituents dominated area, the M4 and MS4 tides also remarkably contribute to them. Differences between the LAT and the ALLW are larger than those between the HAT and the AHHW. The asymmetry occurs because the LAT and HAT are calculated from the amplitudes and phase-lags of 67 harmonic constituents whereas the ALLW and AHHW are based only on the amplitudes of the 4 major harmonic constituents.

Analysis of Tidal Phenomena in chunnam the Naju Lake and Youngsan River (전남 나주호와 영산강 지류에 나타나는 조석현상의 분석)

  • Cho, Ju-Whan;Im, Kwang-Heuyk
    • Journal of the Korean earth science society
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    • v.21 no.2
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    • pp.168-173
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    • 2000
  • To investigate the characteristics of tides in the Naju Lake and Youngsan River, we measured the water level at the Naju Lake for one month (from 30 Dec. 1997 to 27 Jan. 1998) and at several points along the Youngsan River. We found that there are predominant waves with periods of semidiurnal and diurnal tides. The amplitudes of M$_2$, S$_2$, O$_1$ and K$_1$ calculated by harmonic analysis are 0.56, 0.39, 0.48,0.43mm, respectively. The tidal ranges along the Youngsan River, which are almost coincident with the tidal variation of Mokpo, are from 4mm to 18mm depending upon the locations and the direction and that of six-hours period in the north-south direction.

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Non-astronomical Tides and Monthly Mean Sea Level Variations due to Differing Hydrographic Conditions and Atmospheric Pressure along the Korean Coast from 1999 to 2017 (한국 연안에서 1999년부터 2017년까지 해수물성과 대기압 변화에 따른 계절 비천문조와 월평균 해수면 변화)

  • BYUN, DO-SEONG;CHOI, BYOUNG-JU;KIM, HYOWON
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.26 no.1
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    • pp.11-36
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    • 2021
  • The solar annual (Sa) and semiannual (Ssa) tides account for much of the non-uniform annual and seasonal variability observed in sea levels. These non-equilibrium tides depend on atmospheric variations, forced by changes in the Sun's distance and declination, as well as on hydrographic conditions. Here we employ tidal harmonic analyses to calculate Sa and Ssa harmonic constants for 21 Korean coastal tidal stations (TS), operated by the Korea Hydrographic and Oceanographic Agency. We used 19 year-long (1999 to 2017) 1 hr-interval sea level records from each site, and used two conventional harmonic analysis (HA) programs (Task2K and UTide). The stability of Sa harmonic constants was estimated with respect to starting date and record length of the data, and we examined the spatial distribution of the calculated Sa and Ssa harmonic constants. HA was performed on Incheon TS (ITS) records using 369-day subsets; the first start date was January 1, 1999, the subsequent data subset starting 24 hours later, and so on up until the final start date was December 27, 2017. Variations in the Sa constants produced by the two HA packages had similar magnitudes and start date sensitivity. Results from the two HA packages had a large difference in phase lag (about 78°) but relatively small amplitude (<1 cm) difference. The phase lag difference occurred in large part since Task2K excludes the perihelion astronomical variable. Sensitivity of the ITS Sa constants to data record length (i.e., 1, 2, 3, 5, 9, and 19 years) was also tested to determine the data length needed to yield stable Sa results. HA results revealed that 5 to 9 year sea level records could estimate Sa harmonic constants with relatively small error, while the best results are produced using 19 year-long records. As noted earlier, Sa amplitudes vary with regional hydrographic and atmospheric conditions. Sa amplitudes at the twenty one TS ranged from 15.0 to 18.6 cm, 10.7 to 17.5 cm, and 10.5 to 13.0 cm, along the west coast, south coast including Jejudo, and east coast including Ulleungdo, respectively. Except at Ulleungdo, it was found that the Ssa constituent contributes to produce asymmetric seasonal sea level variation and it delays (hastens) the highest (lowest) sea levels. Comparisons between monthly mean, air-pressure adjusted, and steric sea level variations revealed that year-to-year and asymmetric seasonal variations in sea levels were largely produced by steric sea level variation and inverted barometer effect.

Investigating the Adjustment Methods of Monthly Variability in Tidal Current Harmonic Constants (조류 조화상수의 월변동성 완화 방법 고찰)

  • Byun, Do-Seong
    • Ocean and Polar Research
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    • v.33 no.3
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    • pp.309-319
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    • 2011
  • This is a preliminary study of the feasibility of obtaining reliable tidal current harmonic constants, using one month of current observations, to verify the accuracy of a tidal model. An inference method is commonly used to separate out the tidal harmonic constituents when the available data spans less than a synodic period. In contrast to tidal constituents, studies of the separation of tidal-current harmonics are rare, basically due to a dearth of the long-term observation data needed for such experiments. We conducted concurrent and monthly harmonic analyses for tidal current velocities and heights, using 2 years (2006 and 2007) of current and sea-level records obtained from the Tidal Current Signal Station located in the narrow waterway in front of Incheon Lock, Korea. Firstly, the l-year harmonic analyses showed that, with the exception of $M_2$ and $S_2$ semidiurnal constituents, the major constituents were different for the tidal currents and heights. $K_1$, for instance, was found to be the 4th major tidal constituent but not an important tidal current constituent. Secondly, we examined monthly variation in the amplitudes and phase-lags of the $S_2$ and $K_1$ current-velocity and tide constituents over a 23-month period. The resultant patterns of variation in the amplitudes and phase-lags of the $S_2$ tidal currents and tides were similar, exhibiting a sine curve form with a 6-month period. Similarly, variation in the $K_1$ tidal constant and tidal current-velocity phase lags showed a sine curve pattern with a 6-month period. However, that of the $K_1$ tidal current-velocity amplitude showed a somewhat irregular sine curve pattern. Lastly, we investigated and tested the inference methods available for separating the $K_2$ and $S_2$ current-velocity constituents via monthly harmonic analysis. We compared the effects of reduction in monthly variability in tidal harmonic constants of the $S_2$ current-velocity constituent using three different inference methods and that of Schureman (1976). Specifically, to separate out the two constituents ($S_2$ and $K_2$), we used three different inference parameter (i.e. amplitude ratio and phase-lag diggerence) values derived from the 1-year harmonic analyses of current-velocities and tidal heights at (near) the short-term observation station and from tidal potential (TP), together with Schureman's (1976) inference (SI). Results from these four different methods reveal that TP and SI are satisfactorily applicable where results of long-term harmonic analysis are not available. We also discussed how to further reduce the monthly variability in $S_2$ tidal current-velocity constants.