Correlation between individual waves in a real sea state

被引:13
作者
Sobey, RJ
机构
[1] Dept. of Civ. and Environ. Eng., University of California, Berkeley
关键词
D O I
10.1016/0378-3839(96)00010-5
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The correlation between individual waves in a real sea state has a central role in existing theories of wave grouping. The attractive Kimura (1980) theory has two critical assumptions, that the sequence of individual wave heights follows a Markov process and that the joint distribution of consecutive wave heights follows a bivariate Rayleigh form. Analysis of measured water surface records suggests that sequences of individual waves can reasonably be described as a first order mixed autoregressive, moving-average or ARMA process, though a distinction among ARMA (1,0), ARMA (0,1) and ARMA (1,1) models was beyond the resolution of the data. These include the Markov or ARMA (1,0) model. The decisive detail, the joint distribution of consecutive wave heights in the sea state, was evaluated by a simulation methodology that is consistent with the Gaussian random wave model. The estimates are dependent on spectral shape and are consistently narrower and more sharply focussed at the peak than the corresponding bivariate Rayleigh estimate. The resulting predictions of run and group length statistics differ from the Kimura theory, though not by a sufficient margin to displace the Kimura theory as a pragmatic choice for wave grouping.
引用
收藏
页码:223 / 242
页数:20
相关论文
共 18 条
  • [1] [Anonymous], 1976, TIME SERIES ANAL
  • [2] [Anonymous], 1976, P 1 INT C BEHAV OFFS
  • [3] [Anonymous], P 14 INT C COAST ENG
  • [4] [Anonymous], P OC STRUCT DYN S 82
  • [5] ARHAN M, 1978, OCEANOL ACTA, V1, P151
  • [6] BATTJES JA, 1984, P 19 COAST ENG C HOU, V1, P642
  • [7] Chatfield C., 1980, ANAL TIME SERIES INT, V2nd
  • [8] MEAN LENGTH OF RUNS OF HIGH WAVES
    EWING, JA
    [J]. JOURNAL OF GEOPHYSICAL RESEARCH, 1973, 78 (12): : 1933 - 1936
  • [9] Goda Y., 1970, REPT PORT HARBOUR RE, V9, P3
  • [10] Goda Y., 1983, Rep. Port Harb. Res. Inst. Rep, V22, P3