Abstract: Embodiments relate to leads and polynyas forecasting. Initially observed ice forecast data is obtained for a geographic area of interest, which is then used to generate an ice grid based on the observed ice data, where the ice grid includes grid cells that map polar regions. At this stage, daily opening rates are determined based on the ice grid, where each daily opening rate indicates an opening speed of a corresponding ice event, and daily convergence strain rates are determined based on the ice grid, where each daily convergence strain rate indicates a convergence of the corresponding ice event. For each day, a daily opening rate is weighted and then adjusting by a daily convergence strain rate. A forecasted opening rate on a target date is determined based on the weighted, adjusted daily opening rates. Predicted openings of the polar region can be rendered based on the forecasted opening rate.

Abstract: System and method for correcting the vertical structure of the ocean temperature and salinity can enable the use of sea surface height (SSH) measurements to correct ocean forecast models. In the present embodiment, three relations that can be precomputed are exploited: (1) the relation between temperature and salinity throughout a water column, (2) the relation between temperature/salinity and geopotential, and (3) the relation between geopotential and SSH. The relations are stored in a form that allows efficient application through a cross-correlation matrix.

Abstract: Embodiments relate to gathering materials on an ocean surface. Initially, an initial distribution of material is determined based on observational sources, and the material is represented by particles in a numerical ocean model. Trajectories for the numerical ocean model are determined based on modeled surface currents data, and velocity gradients are computed along a corresponding trajectory of the trajectories for each of the particles based on the initial distribution. At this stage, deformation tensors are computed for each of the particles based on the velocity gradients, and a dilation map for the particles is generated based on a time step tensor of the plurality of deformation tensors for each of the particles. Collection of the material is monitored based on the dilation map.

Abstract: System and method for correcting the vertical structure of the ocean temperature and salinity based on velocity observations. Three relations that can be precomputed are exploited: (1) the relation between temperature and salinity throughout a water column, (2) the relation between temperature/salinity and geopotential, and (3) the relation between geopotential and velocity. The relations are stored in a form that allows efficient application through a cross-correlation matrix.

Abstract: Embodiments relate to leads and polynyas forecasting. Initially observed ice forecast data is obtained for a geographic area of interest, which is then used to generate an ice grid based on the observed ice data, where the ice grid includes grid cells that map polar regions. At this stage, daily opening rates are determined based on the ice grid, where each daily opening rate indicates an opening speed of a corresponding ice event, and daily convergence strain rates are determined based on the ice grid, where each daily convergence strain rate indicates a convergence of the corresponding ice event. For each day, a daily opening rate is weighted and then adjusting by a daily convergence strain rate. A forecasted opening rate on a target date is determined based on the weighted, adjusted daily opening rates. Predicted openings of the polar region can be rendered based on the forecasted opening rate.

Abstract: Embodiments relate to gathering materials on an ocean surface. Initially, an initial distribution of material is determined based on observational sources, and the material is represented by particles in a numerical ocean model. Trajectories for the numerical ocean model are determined based on modeled surface currents data, and velocity gradients are computed along a corresponding trajectory of the trajectories for each of the particles based on the initial distribution. At this stage, deformation tensors are computed for each of the particles based on the velocity gradients, and a dilation map for the particles is generated based on a time step tensor of the plurality of deformation tensors for each of the particles. Collection of the material is monitored based on the dilation map.

Abstract: System and method for correcting the vertical structure of the ocean temperature and salinity can enable the use of sea surface height (SSH) measurements to correct ocean forecast models. In the present embodiment, three relations that can be precomputed are exploited: (1) the relation between temperature and salinity throughout a water column, (2) the relation between temperature/salinity and geopotential, and (3) the relation between geopotential and SSH. The relations are stored in a form that allows efficient application through a cross-correlation matrix.

Abstract: System and method for correcting the vertical structure of the ocean temperature and salinity based on velocity observations. Three relations that can be precomputed are exploited: (1) the relation between temperature and salinity throughout a water column, (2) the relation between temperature/salinity and geopotential, and (3) the relation between geopotential and velocity. The relations are stored in a form that allows efficient application through a cross-correlation matrix.