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Research Papers: Polar and Arctic Engineering

Ice Gouge Depth Determination Via an Efficient Stochastic Dynamics Technique

[+] Author and Article Information
Nikolaos Gazis

Wood Group,
15115 Park Row,
Houston, TX 77019
e-mail: nikolaos.gazis@woodgroup.com

Ioannis A. Kougioumtzoglou

Department of Civil Engineering
and Engineering Mechanics,
Columbia University,
500 W. 120th Street,
New York, NY 10027
e-mail: ikougioum@columbia.edu

Edoardo Patelli

Institute for Risk & Uncertainty,
University of Liverpool,
Liverpool L69 3BX, UK
e-mail: edoardo.patelli@liverpool.ac.uk

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received September 26, 2015; final manuscript received July 19, 2016; published online September 20, 2016. Assoc. Editor: Søren Ehlers.

J. Offshore Mech. Arct. Eng 139(1), 011501 (Sep 20, 2016) (8 pages) Paper No: OMAE-15-1102; doi: 10.1115/1.4034372 History: Received September 26, 2015; Revised July 19, 2016

A simplified model of the motion of a grounding iceberg for determining the gouge depth into the seabed is proposed. Specifically, taking into account uncertainties relating to the soil strength, a nonlinear stochastic differential equation governing the evolution of the gouge length/depth in time is derived. Further, a recently developed Wiener path integral (WPI) based approach for solving approximately the nonlinear stochastic differential equation is employed; thus, circumventing computationally demanding Monte Carlo based simulations and rendering the approach potentially useful for preliminary design applications. The accuracy/reliability of the approach is demonstrated via comparisons with pertinent Monte Carlo simulation (MCS) data.

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Figures

Grahic Jump Location
Fig. 1

Model by Lopez et al. [21] versus proposed model

Grahic Jump Location
Fig. 2

Gouge length response PDF (WPI approach)

Grahic Jump Location
Fig. 3

Maximum gouge depth response PDF (WPI approach versus MCS)

Grahic Jump Location
Fig. 4

Gouge depth response PDF with time (MCS)

Grahic Jump Location
Fig. 5

Gouge depth response PDF at different time instances (WPI approach versus MCS)

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