info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Assessment of risk factors for extreme accidents and possible environmental pollution on oil and gas pipelines by mathematical modeling (09-614-5-210 )


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2010-02-01       End Date: 2012-02-01

The purpose of the project is to solve some of the problems that exist in the field of environmental pollution. To achieve this goal, we have developed software systems for water and soil pollution with gases, oil and harmful substances, which are based on simulation and predictive mathematical models. These models take into account the main physical, chemical and geographical parameters that characterize extraordinary processes, phenomena and the environment as a whole. Namely, the software package takes into account: the infiltration of oil and gas into the soil, taking into account the heterogeneity of the soil; oil infiltration into the soil, taking into account high pressure and heterogeneity of soil porosity; hydraulic calculation of main pipelines in the conditions of successive transition of various oil products; determination of the optimal conditions for the successive transition of various petroleum products through the main pipelines; the value of the pipeline diameter and the value of the current speed of oil products in the pipe are determined, at which the power of the mixture formed in the pipeline will be minimal.
The results obtained during the implementation of the design problem, in our opinion, will be interesting and necessary for studying the problems of the mathematical theory of elasticity, for elucidating the behavior of the solution and determining its numerical values. The results obtained and the corresponding conclusions can be used in the design of pipes, gas and gas tanks. To determine the reliability in the transportation of gas and gasoline, the application of the results will allow the user to determine the optimal pressure in the pipes, calculate the thickness, hardness and other characteristics of the materials from which the pipes and tanks are made. All of the above will contribute to the optimal solution of economic and social problems.

Project members:

Talks

  • Some questions of approximate solutions for composite bodies weakened by cracks in the case of antiplane problems of elasticity theory, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili at The First Annual Meeting of the Georgian Mechanical Union, 2010, Tbilisi Georgia.
  • About the numerical decision of some singular integral equations by collocation method, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili at First International Conference of the Georgian Mathematical Union, 2010, Batumi, Georgia.
  • About the approached decision of one boundary problem of the antiplane theory of elasticity., by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili at The International Scientific Conference Devoted to the 80th anniversary of Academician I.V.Prangisvili “Information and Computer Technologies, Modeling, Control”. , 2010, Tbilisi Georgia.
  • On the Realization of One Nonlinear Mathematical Model by the P/C, by David Gordeziani (Speaker), Teimurazi Davitashvili, Archil Papukashvili, Ekaterine Gordeziani at II Annual Meeting of the Georgian Mechanical Union, Dedicated to 105th Birthday Anniversary of Ilia Vekua, 2011, Tbilisi, Georgia.
  • An approximate solution of one system of the singular integral equations by collocation method, by Archil Papukashvili (Speaker), Teimurazi Davitashvili, Meri Sharikadze, Giorgi Kurdghelashvili at International Conference Continuum Mechanics and Related Problems of Analysis to Celebrate the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First Presiden, 2011, Tbilisi, Georgia.
  • Mathematical modelling of liquid phase origination in the main gas pipelines, by Teimurazi Davitashvili (Speaker), David Gordeziani, Archil Papukashvili, Givi Gubelidze at II Annual Meeting of the Georgian Mechanical Union,Dedicated to 105th Birthday Anniversary of Ilia Vekua, 2011, Tbilisi, Georgia.
  • One Approximate Method of Elasticity Theory for Solution Some Problems of Oil and Gas Terminals Contained Cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze, Gela Manelidze at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, 2011, Tbilisi, Georgia.
  • About methods of approximate solutions for composite bodies weakened by cracks in the case of antiplane problems of elasticity theory, by Teimurazi Davitashvili (Speaker), David Gordeziani, Archil Papukashvili, Tinatin Davitashvili, Meri Sharikadze at II Annual Meeting of the Georgian Mechanical Union. Dedicated to 105th Birthday Anniversary of Ilia Vekua, 2011, Tbilisi, Georgia.
  • On modeling of liquid-phase formation in gas pipelines for non-stationary flows, by Teimurazi Davitashvili (Speaker), David Gordeziani, Givi Gubelidze, Archil Papukashvili, Tinatin Davitashvili, Meri Sharikadze at International Conference Continuum Mechanics and Related Problems of Analysis to Celebrate the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First Presiden, 2011, Tbilisi, Georgia.
  • An Approximate Solution of One System of the Singular Integral Equations, by Archil Papukashvili (Speaker), Meri Sharikadze, Giorgi Kurdghelashvili at XXV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili TSU, 2011, Tbilisi, Georgia.
  • On finite difference method for approximate solution of antiplane problems of elasticity theory for composite bodies weakened by cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at XXVII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University , 2013, Tbilisi, Georgia.
  • On one method of approximate solution of a problem of the rectangular plate deflection by thin rigid inclusion, by Archil Papukashvili (Speaker) at IV Annual Meeting of the Georgian Mechanical Union , 2013, Kutaisi Georgia.

Additional Information

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