An Examination of the Feasibility of Linear Deterministic Sea Wave Prediction in Multidirectional Seas Using Wave Profiling Radar: Theory, Simulation, and Sea Trials

M. R. Belmont University of Exeter, Exeter, United Kingdom

Search for other papers by M. R. Belmont in
Current site
Google Scholar
PubMed
Close
,
J. Christmas University of Exeter, Exeter, United Kingdom

Search for other papers by J. Christmas in
Current site
Google Scholar
PubMed
Close
,
J. Dannenberg OceanWaves GmbH, Lüneburg, Germany

Search for other papers by J. Dannenberg in
Current site
Google Scholar
PubMed
Close
,
T. Hilmer OceanWaves GmbH, Lüneburg, Germany

Search for other papers by T. Hilmer in
Current site
Google Scholar
PubMed
Close
,
J. Duncan Defence Equipment and Support, Ministry of Defence, Bristol, United Kingdom

Search for other papers by J. Duncan in
Current site
Google Scholar
PubMed
Close
,
J. M. Duncan Defence Equipment and Support, Ministry of Defence, Bristol, United Kingdom

Search for other papers by J. M. Duncan in
Current site
Google Scholar
PubMed
Close
, and
B. Ferrier Dynamic Interface Laboratory, Hoffman Engineering Corporation, Stamford, Connecticut

Search for other papers by B. Ferrier in
Current site
Google Scholar
PubMed
Close
Restricted access

We are aware of a technical issue preventing figures and tables from showing in some newly published articles in the full-text HTML view.
While we are resolving the problem, please use the online PDF version of these articles to view figures and tables.

Abstract

For a number of maritime tasks there is a short time period, typically only a few tens of seconds, where a critical event occurs that defines a limiting wave height for the whole operation. Examples are the recovery of fixed and rotary winged aircraft, cargo transfers, final pipe mating in fluid transfer operations, and launch/recovery of small craft. The recovery of a 30-t rescue submersible onto a mother ship in the North Atlantic Treaty Organization (NATO) Submarine Rescue System is a prime example. In such applications short-term deterministic sea wave prediction (DSWP) can play a vital role in extending the sea states under which the system can be safely deployed. DSWP also has great potential in conducting experimental sea wave research at full scale. This report explores the feasibility of using data from an experimental wave profiling radar in achieving DSWP. The report includes theory, simulation, and field testing. Two forms of DSWP are employed: a fixed point system based upon a restricted set of wave directions from which some success is obtained and the other a fully two-dimensional technique that requires further development. The main finding is that using wave profiling radar for DSWP offers promise but requires improvements both to the spatial reliability and the resolution of the wave profiling radar and to the temporal resolution of its sweep before the technique can be considered to be viable as a usable tool.

Corresponding author address: Jacqueline Christmas, University of Exeter, Harrison Building, North Park Road, Exeter, Devon EX4 4QF, United Kingdom. E-mail: j.t.christmas@exeter.ac.uk

Abstract

For a number of maritime tasks there is a short time period, typically only a few tens of seconds, where a critical event occurs that defines a limiting wave height for the whole operation. Examples are the recovery of fixed and rotary winged aircraft, cargo transfers, final pipe mating in fluid transfer operations, and launch/recovery of small craft. The recovery of a 30-t rescue submersible onto a mother ship in the North Atlantic Treaty Organization (NATO) Submarine Rescue System is a prime example. In such applications short-term deterministic sea wave prediction (DSWP) can play a vital role in extending the sea states under which the system can be safely deployed. DSWP also has great potential in conducting experimental sea wave research at full scale. This report explores the feasibility of using data from an experimental wave profiling radar in achieving DSWP. The report includes theory, simulation, and field testing. Two forms of DSWP are employed: a fixed point system based upon a restricted set of wave directions from which some success is obtained and the other a fully two-dimensional technique that requires further development. The main finding is that using wave profiling radar for DSWP offers promise but requires improvements both to the spatial reliability and the resolution of the wave profiling radar and to the temporal resolution of its sweep before the technique can be considered to be viable as a usable tool.

Corresponding author address: Jacqueline Christmas, University of Exeter, Harrison Building, North Park Road, Exeter, Devon EX4 4QF, United Kingdom. E-mail: j.t.christmas@exeter.ac.uk
Save
  • Abusedra, L., and Belmont M. , 2011: Prediction diagrams for deterministic sea wave prediction and the introduction of the data extension prediction method. Int. J. Shipbuild. Prog., 58, 59–81, doi:10.3233/ISP-2011-0069.

    • Search Google Scholar
    • Export Citation
  • Alpers, W., and Hasselmann K. , 1982: Spectral signal to clutter and thermal noise properties of ocean wave imaging synthetic aperture radars. Int. J. Remote Sens., 3, 423–446, doi:10.1080/01431168208948413.

    • Search Google Scholar
    • Export Citation
  • Belmont, M., 2009: A lower bound estimate of the gains stemming from quiescent period predictive control using conventional sea state statistics. J. Renewable Sustainable Energy, 1, 063104, doi:10.1063/1.3259168.

    • Search Google Scholar
    • Export Citation
  • Belmont, M., 2010: Increases in the average power output of wave energy converters using quiescent period predictive control. Renewable Energy, 35, 2812–2820, doi:10.1016/j.renene.2010.05.001.

    • Search Google Scholar
    • Export Citation
  • Belmont, M., Scholtz W. , and Gill P. , 1995: 30 seconds ahead. Offshore Focus, June 1995 edition.

  • Belmont, M., Baker J. , and Horwood J. , 2003: Avoidance of phase shift errors in short term deterministic sea wave prediction. J. Mar. Eng. Technol.,2003, 21–26.

  • Belmont, M., Horwood J. , Thurley R. , and Baker J. , 2006: Filters for linear sea-wave prediction. Ocean Eng., 33, 2332–2351, doi:10.1016/j.oceaneng.2005.11.011.

    • Search Google Scholar
    • Export Citation
  • Belmont, M., Horwood J. , Thurley R. , and Baker J. , 2007: Shallow angle wave profiling lidar. J. Atmos. Oceanic Technol., 24, 1150–1156, doi:10.1175/JTECH2032.1.

    • Search Google Scholar
    • Export Citation
  • Blondel, E., Ducrozet G. , Bonnefoy F. , and Ferranti P. , 2008: Deterministic reconstruction and prediction of non-linear wave systems. Proceedings of the 23rd International Workshop on Water Waves and Floating Bodies, H. S. Choi and Y. Kim, Eds., IWWWFB, 13–16. [Available online at http://www.iwwwfb.org/Abstracts/iwwwfb23/iwwwfb23_04.pdf.]

  • Borgman, L., 1979: Directional spectra from wave sensors. Ocean Wave Climate, M. D. Earle and A. Malahoff, Eds., Marine Science Series, Vol. 8, Plenum Press, 269–300.

  • Brigham, E. O., 1988: The Fast Fourier Transform and Its Applications.Prentice Hall, 448 pp.

  • Dittmer, J., 1995: Use of marine radars for real time wave field survey and speeding up the transmission process. Proceedings of the WMO/IOC Workshop on Operational Ocean Monitoring Using Surface Based Radars, WMO/TD-694, 133–137.

  • Edgar, D., Horwood J. , Thurley R. , and Belmont M. , 2000: The effects of parameters on the maximum prediction time possible in short term forecasting of the sea surface shape. Int. Shipbuild. Prog., 47, 287–301.

    • Search Google Scholar
    • Export Citation
  • Falnes, J., 2002: Ocean Waves and Oscillating Systems: Linear Interactions Including Wave-Energy Extraction.Cambridge University Press, 286 pp.

  • Goldberg, D., 1989: Genetic Algorithms in Search, Optimization and Machine Learning.Addison-Wesley Longman Publishing Co., 432 pp.

  • Golub, G., and Van Loan C. , 1996: Matrix Computations.3rd ed. Johns Hopkins University Press, 728 pp.

  • Hessner, K., Reichert K. , and Dittmer J. , 1999: Coastal application of a wave monitoring system based on nautical radar. IGARSS ’99 Proceedings, Vol. 1, IEEE, 500–502, doi:10.1109/IGARSS.1999.773546.

  • Hessner, K., Reichert K. , Dittmer J. , Nieto Borge J. , and Günther H. , 2002: Evaluation of WaMoS II wave data. Ocean Wave Measurement and Analysis, B. L. Edge and J. M. Hemsley, Eds, ASCE, 221–230, doi:10.1061/40604(273)23.

  • Janssen, T., van Dongeren A. , and Kuipr C. , 2002: Phase resolving analysis of multidirectional wave trains. Ocean Wave Measurement and Analysis, B. L. Edge and J. M. Hemsley, Eds, ASCE, 377–387, doi:10.1061/40604(273)39.

  • Kim, Y., and Powers E. , 1979: Digital bispectral analysis and its applications to nonlinear wave interactions. IEEE Trans. Plasma Sci., 7, 120–131, doi:10.1109/TPS.1979.4317207.

    • Search Google Scholar
    • Export Citation
  • Kinsman, B., 1984: Wind Waves: Their Generation and Propagation on the Ocean Surface.Dover Publications, 676 pp.

  • Longuet-Higgins, M., and Phillips O. , 1962: Phase velocity effects in tertiary wave interactions. J. Fluid Mech., 12, 333–336, doi:10.1017/S0022112062000245.

    • Search Google Scholar
    • Export Citation
  • Longuet-Higgins, M., Cartwright D. , and Smith N. , 1963: Observations of the directional spectrum of sea waves using motions of a floating buoy. Ocean Wave Spectra, Prentice-Hall, 111–136.

  • Morris, E., Zienkiewicz H. , Pourzanjani M. , Flower J. , and Belmont M. , 1992: Techniques for sea-state prediction. Manoeuvring and Control of Marine Craft: Proceedings of the Second International Conference, P. A. Wilson, Ed., WIT Press, 547–571.

  • Morris, E., Zienkiewicz H. , and Belmont M. , 1998: Short-term forecasting of the sea-state. Int. Shipbuild. Prog., 45, 383–400.

  • Naaijen, P., and Huijsmams R. , 2008: Real time wave forecasting for real time ship motion predictions. Ocean Engineering: Offshore Renewable Energy, Vol. 4, Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering, ASME, OMAE2008-57804, 607–614, doi:10.1115/OMAE2008-57804.

  • Naaijen, P., van Dijk R. , Huijsmans R. , and El-Mouhandiz A. , 2009: Real time estimation of ship motions in short crested seas. Ocean Engineering; Ocean Renewable Energy; Ocean Space Utilization, Parts A and B, Vol. 4, Proceedings of the ASME 2009 28th International Conference on Offshore and Arctic Engineering, ASME, OMA2009-79366, 243–255, doi:10.1115/OMAE2009-79366.

  • Nieto Borge, J., 1997: Analisis de campos de oleaje mediante radar de navegacion en Banda X. Ph.D. thesis, Universidad de Alcala de Henares, 320 pp.

  • Nieto Borge, J., 1998: Significant wave height estimation from nautical radar data sets. GKSS Tech. Rep. GKSS-98/E/28, 40 pp.

  • Nieto Borge, J., Reichert K. , and Dittmer J. , 1999: Use of nautical radar as a wave monitoring instrument. Coastal Eng., 37, 331–342, doi:10.1016/S0378-3839(99)00032-0.

    • Search Google Scholar
    • Export Citation
  • Nieto Borge, J., Rodríguez G. , Hessner K. , and González P. , 2004: Inversion of marine radar images for surface wave analysis. J. Atmos. Oceanic Technol., 21, 1291–1300, doi:10.1175/1520-0426(2004)021<1291:IOMRIF>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • OceanWaves GMBH, cited 2013: WaMoS II: An automatic wave monitoring system based on marine X-Band radar technology to observe the sea state. [Available online at www.oceanwaves.de/download/PDF/WaMoSII_geninfo_2012.pdf.]

  • Pearson, K., 1920: Notes on the history of correlation. Biometrika, 13, 25–45, doi:10.1093/biomet/13.1.25.

  • Phillips, O., 1960: On the dynamics of unsteady gravity waves of finite amplitude. J. Fluid Mech., 9, 193–217, doi:10.1017/S0022112060001043.

    • Search Google Scholar
    • Export Citation
  • Pierson, W., Jr., Neumann G. , and James R. , 1955: Practical methods for observing and forecasting ocean waves by means of wave spectra and statistics. U.S. Navy Hydrographic Office Publ. 603, 284 pp. [Available online at http://www.dtic.mil/get-tr-doc/pdf?AD=AD0739935&Location=U2&doc=GetTRDoc.pdf.]

  • Plant, W., 1989: The modulation transfer function: Concept and applications. Radar Scattering from Modulated Wind Waves: Proceedings of the Workshop on Modulation of Short Wind Waves in the Gravity-Capillary Range by Non-Uniform Currents, G. Komen and W. Oost, Eds., Kluwer Academic Publishers, 155–172.

  • Plant, W., and Zurk L. , 1997: Dominant wave directions and significant wave heights from SAR imagery of the ocean. J. Geophys. Res., 102, 3473–3482, doi:10.1029/96JC03674.

    • Search Google Scholar
    • Export Citation
  • Prislin, I., Zhang J. , and Seymour R. , 1997: Deterministic decomposition of deep water short-crested irregular gravity waves. J. Geophys. Res., 102, 12 677–12 688, doi:10.1029/97JC00791.

    • Search Google Scholar
    • Export Citation
  • Seeman, J., Ziemer F. , and Senet C. , 1997: A method for computing calibrated ocean wave spectra from measurements with a nautical X-band radar. Oceans ’97 MTS/IEEE: Conference Proceedings, Vol. 2, MTS/IEEE, 1148–1154, doi:10.1109/OCEANS.1997.624154.

  • Stretch, R., 2012: Vessel: SD Northern River. Location: Biscay. Commercial report compiled for SEA by the UK Met Office, 19 pp.

  • Tucker, M., and Pitt E. , 2001: Waves in Ocean Engineering.Elsevier Ocean Engineering Series, Vol. 5, Elsevier, 548 pp.

  • Wu, G., 2004: Direct simulation and deterministic prediction of large-scale nonlinear ocean wave-field. Ph.D. thesis, Massachusetts Institute of Technology, 259 pp.

  • Wu, G., Liu Y. , and Yue D. K. P. , 2000: Numerical reconstruction of nonlinear irregular wave-field using single or multiple probe data. Proceedings of the 15th International Workshop on Water Waves and Floating Bodies, IWWWFB, 191–194.

  • Zhang, J., Yang J. , Wen J. , Prislin I. , and Kong K. , 1999: Deterministic wave model for short-crested ocean waves: Part I. Theory and numerical scheme. Appl. Ocean Res., 21, 167–188, doi:10.1016/S0141-1187(99)00011-5.

    • Search Google Scholar
    • Export Citation
  • Ziemer, F., and Günther H. , 1994: A system to monitor ocean wave fields. Preprints, Second Int. Conf. on Air–Sea Interaction and on Meteorology and Oceanography of the Coastal Zone, Lisbon, Portugal, Amer. Meteor. Soc., 117–118.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 824 378 94
PDF Downloads 574 190 8