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Non-linear models in the ecology of the sea and ocean

Keywords:

L.F. Chernogor - Dr.Sc. (Phys.-Math.), Professor, Kharkov National University named after V.N. Karamzin. E-mail: Leonid.F.Chernogor@univer.kharkov.ua


The non-linear relations used in the present work yield self-similar solutions. They are valid for calculating the radius of the sea or ocean surface area over which oil spreads at time scales of greater than 103 s. For a single oil blowout (e.g., oil tanker accident), the radius of the area would attain a value of 9 km, 48 km, and 150 km in a day, a month, and a year, respectively, provided viscosity and surface tension are negligible. Viscosity and surface tension act to decrease the radius of the area to 1.65 km, 3.9 km, and 6.9 km for the duration of a day, a month, and a year, respectively. When a continuous oil blowout occurs at a rate of 100–200 liters per second and viscosity and surface tension are negligible, the radius of the area would be equal to 4–4.4 km, 50–57 km, and 300–320 km for a day, a month, and a year, respectively. The viscosity and surface tension act to decrease the radius of the area to 0.60–0.66 km, 4–4.8 km, and 15–18 km, respectively. In effect, the scales of the ocean surface area polluted with oil are significantly greater because of the influence of dynamical processes (winds, water currents, ocean waves, and eddy diffusion), and the pollution size scales attain 1,000–2,000 km over 1–2 months.
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