We present an analysis of airborne wave observations collected in the Gulf of Tehuantepec. The data includes LIDAR measurements of the surface displacement as a function of two horizontal dimensions and time in fetch-limited conditions, with fetches between 50 and 300 km and winds between 10 and 20 m/s. The spatio-temporal data have an advantage over the commonly used single point time-series measurements allowing direct estimates of the wavelength and wave slope, including spatial information such as the lengths of crests exceeding threshold wave heights and slopes. The statistics of these wave parameters are particularly important for risk assessment of off-shore structures and in other ocean engineering applications. We present an analysis of several statistical wind-wave parameters, including the joint probability distribution function (pdf) of wave amplitudes and wavelengths, the pdf of wave heights, wavenumber vectors, and wave slopes, including the statistics of crests lengths exceeding threshold wave heights or slopes. The empirical findings from the LIDAR data are related to the analytical work by Longuet-Higgins (1957) [1] for a linear spectrum, including the average length of contours surrounding large wave heights. The effect of second-order nonlinearities on the distribution of crest lengths is investigated with numerical stochastic simulations from computed directional wavenumber spectra. The results show that second-order nonlinearities can increase the crest length density of large waves by about a factor of two or more. The results are discussed in the context of predicting wave statistics for ocean engineering applications.
Skip Nav Destination
ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering
June 6–11, 2010
Shanghai, China
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4910-1
PROCEEDINGS PAPER
Observations and Modeling of Linear and Nonlinear Spatio-Temporal Wave Statistics
Leonel Romero,
Leonel Romero
University of California, San Diego, La Jolla, CA
Search for other works by this author on:
W. Kendall Melville
W. Kendall Melville
University of California, San Diego, La Jolla, CA
Search for other works by this author on:
Leonel Romero
University of California, San Diego, La Jolla, CA
W. Kendall Melville
University of California, San Diego, La Jolla, CA
Paper No:
OMAE2010-21101, pp. 773-785; 13 pages
Published Online:
December 22, 2010
Citation
Romero, L, & Melville, WK. "Observations and Modeling of Linear and Nonlinear Spatio-Temporal Wave Statistics." Proceedings of the ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. 29th International Conference on Ocean, Offshore and Arctic Engineering: Volume 2. Shanghai, China. June 6–11, 2010. pp. 773-785. ASME. https://doi.org/10.1115/OMAE2010-21101
Download citation file:
7
Views
Related Proceedings Papers
Related Articles
Gaidai Risk Evaluation Method for Lifetime Assessment for Offshore Floating Wind Turbine Gearbox
ASME J Nondestructive Evaluation (May,2025)
A Joint Probability Distribution for Multivariate Wind-Wave Conditions and Discussions on Uncertainties
J. Offshore Mech. Arct. Eng (December,2024)
Nonlinear Effects on Wave Groups in Random Seas
J. Offshore Mech. Arct. Eng (May,1991)
Related Chapters
ISO 19901-1 Petroleum and Natural Gas Industries — Specific Requirements for Offshore Structures — Part 1: Metocean Design and Operating Considerations
Ageing and Life Extension of Offshore Facilities
Threat Anticipation and Deceptive Reasoning Using Bayesian Belief Networks
Intelligent Engineering Systems through Artificial Neural Networks
Simulation Assisted Risk Assessment: Blast Overpressure Modeling (PSAM-0197)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)