Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

High-Performance Computing, Parallel Methods and Algorithms in Geophysical Problems

Mathematical modeling of the processes of transportation and sedimentation of the products of gas and mud volcano activity in a sea basin

Ratner S.V., Zaretskaya M.V.

Southern Scientific Center (Krasnodar),
Kuban State University (Krasnodar)

The processes of transportation of substance – gas and mud volcano production – in the water, taking into account diffusion, absorption, convection and near-bottom flows is very complicated. In order to investigate this process some mathematical models are necessary. A problem of substance transportation are solved in this paper with the use of numerical-analytical decision of transport equation. Will consider all processes in mesoscale approximation. The models of complex physicochemical interaction of substances and turbulent displacements are not included. But diffusion and absorption of substances, convection and the influence of surface displacements of media, which can lead to different effects for zones with different properties are taking into consideration. The results of experimental study of sea and ocean water areas, obtained with fast probing devices revealed that vertical profiles of temperature, salinity and sonic speed have thin-layer stratification with quasi-homogeneous layers up to several dozens meters depth. Vertical profiles of flow velocity and water density also have graduated structure. All this facts allows to consider the media as multi-layerd. The media movement in each layer is considered as steady and available for active measuring. A software implementation and verification of presented model is included as a stage in a new international project (Russia-Turkey-Ukraine), targeting the risk-map of Black-Azov Seas basin construction. Using this map it will be possible to specify zones of high-risk for navigation and trunk pipeline due to high probability of mad and gas volcano activity. The work is partly financed by RFBR (projects 08-08-00447-а and 07-05-00858) and The Program 16 of the Presidium of Russian Academy of Science.

Note. Abstracts are published in author's edition

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