국내 서해안 파랑 관측자료를 이용한 대표주기 산정 및 최적 확률밀도함수 추정
Estimation of Representative Wave Period and Optimal Probability Density Function Using Wave Observed Data around Korean Western Coast
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초록
본 연구에서는 서해안 해상기상타워 2기에서 관측된 수면변동자료를 이용하여 해양특성을 구분하는 주요 인자인 첨두주기 Tp와 평균주기 T02와 Tm-1, 0를 산정하고 이상자료의 비율, 상관관계 분석 및 최적 확률밀도함수를 추정하였다. 산정된 대표주기 중 첨두주기의 경우, 이상 자료의 비율은 각각의 지점에서 5.73 %, 0.67 %로 나타났으며, T02는 4.35%, 0.01%, Tm-1, 0는 2.82%, 0.03%로 나타났다. 한편, T02와 Tp 사이의 관계를 분석한 결과 각 지점별로 0.53, 0.63의 관계로 산정됐으며, Tm-1, 0와 Tp의 관계는 각각 1.15, 1.32로 나타났다. T02와 Tm-1, 0는 서로 1.18, 1.22의 관계를 보이고 있었다. 산정된 대표주기의 최적 확률밀도함수를 추정한 결과, Tp는 각각의 지점에서 ‘Lognormal’, ‘Normal’ 분포를 따르고 있었으며, T02는 ‘Gamma’, ‘Normal’ 분포, Tm-1, 0는 각각 ‘Log-normal’, ‘Normal’ 분포가 우세한 것으로 나타났다. 이러한 결과는 서해안을 대상으로 수행되는 파랑 분석에 기초자료로 사용될 수 있을 것으로 판단된다.
Abstract
In this study, the peak wave period Tp and mean wave period T02 and Tm-1, 0, which are major parameters for classifying ocean characteristics, were calculated using water surface elevation data observed from the second west coast oceanographic and meteorological observation tower. In addition, the ratio of abnormal data, correlation analysis, and optimal probability density function were estimated. In the case of Tp among the calculated representative periods, the proportion of abnormal data was 5.73% and 0.67% at each point, and T02 was 4.35% and 0.01%. Tm-1, 0 was found to be 2.82% and 0.03%. Meanwhile, as a result of analyzing the relationship between T02 and Tp, the relationship was calculated to be 0.53 and 0.63 for each point. The relationship between Tm-1, 0 and Tp was 1.15 and 1.32, respectively, and T02, Tm-1, 0 was 1.18 and 1.22. As a result of estimating the optimal probability density function of the calculated representative period, Tp followed the ‘Log-normal’ and ‘Normal’ distributions at each point, and T02 was ‘Gamma’, ‘Normal’ distribution and Tm-1, 0 showed that ‘Log-normal’ and ‘Normal’ distribution were dominant, respectively. It is decided that these results can be used as basic data for wave analysis conducted on the west coast.
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