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Research Papers: Ocean Engineering

Bayesian Estimation of Directional Wave-Spectrum Using Vessel Motions and Wave-Probes: Proposal and Preliminary Experimental Validation

[+] Author and Article Information
Felipe Lopes de Souza

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil,
e-mail: felipe.lopes.souza@usp.br

Eduardo Aoun Tannuri

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil
e-mail: eduat@usp.br

Pedro Cardozo de Mello

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil
e-mail: pedro.mello@tpn.usp.br

Guilherme Franzini

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil 
e-mail: gfranzini@usp.br

Jordi Mas-Soler

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil
e-mail: jordi@tpn.usp.br

Alexandre Nicolaos Simos

Numerical Offshore Tank Laboratory (TPN-USP),
Universidade de São Paulo,
Av. Professor Mello Moraes, 2231,
São Paulo, SP 05508-030, Brazil
e-mail: alesimos@usp.br

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received July 4, 2017; final manuscript received February 2, 2018; published online March 14, 2018. Assoc. Editor: Luis V. S. Sagrilo.

J. Offshore Mech. Arct. Eng 140(4), 041102 (Mar 14, 2018) (10 pages) Paper No: OMAE-17-1101; doi: 10.1115/1.4039263 History: Received July 04, 2017; Revised February 02, 2018

The measurement of the directional wave spectrum in oceans has been done by different approaches, mainly wave-buoys, satellite imagery and radar technologies; these methods, however, present some inherent drawbacks, e.g., difficult maintenance, low resolution around areas of interest and high cost. In order to overcome those problems, recent works proposed a motion-based estimation procedure using the vessel as a wave sensor; nevertheless, this strategy suffers from low-estimation capabilities of the spectral energy coming from periods lower than the cutoff period of the systems, which are important for the drift effect predictions. This work studies the usage of wave-probes installed on the hull of a moored vessel to enhance the estimation capabilities of the motion-based strategy, using a high-order estimation method based on Bayesian statistics. First, the measurements from the wave-probes are incorporated to the dynamic system of the vessel as new degrees-of-freedom (DOF); thus, the Bayesian method can be expanded without additional reasoning. Second, the proposal is validated by experiments conducted in a wave-basin with a scale model, concluding that the approach is able to improve not only the estimation of spectra with low peak period but also the estimation in the entire range of expected spectra. Finally, some drawbacks are discussed, as the effect of the nonlinear roll motion, which must be taken in account when calculating the wave-probe response; and the poor mean-direction estimation capability in some particular wave directions and low peak periods.

Copyright © 2018 by ASME
Topics: Waves , Probes , Vessels
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References

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Figures

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Fig. 3

Frame of reference for the vessel. A positive pitch causes a negative vertical translation of the bow of the vessel.

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Fig. 2

Frame of reference for the incoming waves. A wave coming from 0 deg encounters the stern first and is called a following sea.

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Fig. 1

Example of a vessel with wave-probe on the hull. Adapted from Ref.[1].

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Fig. 7

Linearized influence of the roll motion in the wave-probe measurement

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Fig. 9

Setup for the experimental campaign

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Fig. 8

Main dimensions of the real vessel

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Fig. 15

RAOs from selected vessel motions at 270 deg

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Fig. 16

RAOs from the wave-probes at 270 deg

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Fig. 17

Experimental and estimated spectral energy, conf. I: Hs = 4.3 m, Tp = 14.0 s, β0 = 270 deg

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Fig. 18

Experimental and estimated spectral energy, conf. V: Hs = 4.3 m, Tp = 14.0 s, β0 = 270 deg

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Fig. 21

Experimental and estimated spectral energy, conf. III: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 22

Experimental and estimated spectral energy, conf. IV: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 23

Experimental and estimated spectral energy, conf. V: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 24

Experimental directional spectrum: exp.: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 25

Estimated directional spectrum using configuration I: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 26

Estimated directional spectrum using configuration V: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 4

Position of the wave-probe, following the vessel frame of reference

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Fig. 5

Linearized influence of the pitch motion in the wave-probe measurement

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Fig. 6

Influence of the heave motion in the wave-probe measurement

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Fig. 10

Possible wave-probe positions

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Fig. 11

RAOs from selected vessel motions at 0 deg, which are similar to the ones at 180 deg

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Fig. 12

RAOs from the wave-probes at 0 deg, which are similar to the ones at 180 deg

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Fig. 13

RAOs from selected vessel motions at 225 deg, which are similar to the ones at 315 deg

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Fig. 14

RAOs from the wave-probes at 225 deg, which are similar to the ones at 315 deg

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Fig. 19

Experimental and estimated spectral energy, conf. I: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 20

Experimental and estimated spectral energy, conf. II: Hs = 1.3 m, Tp = 8.0 s, β0 = 0 deg

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Fig. 27

Experimental and estimated spectral energy, conf. I: Hs = 0.9 m, Tp = 7.0 s, β0 = 225 deg

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Fig. 28

Experimental and estimated spectral energy, conf. V: Hs = 0.9 m, Tp = 7.0 s, β0 = 225 deg

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Fig. 29

Experimental directional spectrum: exp.: Hs = 0.9 m, Tp = 7.0 s, β0 = 225 deg

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Fig. 30

Estimated directional spectrum using configuration I: Hs = 0.9 m, Tp = 7.0 s, β0 = 225 deg

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Fig. 31

Estimated directional spectrum using configuration V: Hs = 0.9 m, Tp = 7.0 s, β0 = 225 deg

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