Ice gouge depth determination via an efficient stochastic dynamics technique

Gazis, Nikolaos and Kougioumtzoglou, Ioannis A. and Patelli, Edoardo (2017) Ice gouge depth determination via an efficient stochastic dynamics technique. Journal of Offshore Mechanics and Arctic Engineering, 139 (1). 011501. ISSN 0892-7219 (

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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.