magazinelogo

Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 153770 Total View: 1839413
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2018.07.001

The Solution Of 2D Hydrodynamic Equations In The Boussinesq Approximation: A Mechanism Of Hydrocarbons Transport To The Earth’s Surface

Sergei V. Gavrilov1, Andrey L. Kharitonov2,*

1Schmidt Institute of Physics of the Earth of the RAS, 123995, RF, Moscow, D-242, Bolshaya Gruzinskaya, 10

2Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the RAS, 108840, RF, Troitsk, Kaluzhskoe highway, 4, IZMIRAN

*Corresponding author: Andrey L. Kharitonov


Published: July 24,2018

Abstract

Thermomechanical model of the mantle wedge subducting under the lithospheric plate with a velocity V at an angle β is obtained for the infinite Prandtl number fluid as a solution of non-dimensional 2D hydrodynamic equations in the Boussinesq approximation. Numerical modeling of mantle thermal dissipation-driven convection accounting for phase transitions and temperature and pressure dependence of the “wet” olivine viscosity shows the characteristic convective rolls scale be approximately of same scale as the spatial wavelength of localization of the oil- and gas-bearing zones in the Timan-Pechora region. The scale of localization periodicity of the oil- and gas-bearing zones equals approximately to convection cell dimension this equality being an extra evidence for convective mechanism of non-organic hydrocarbons transport to the Earth's surface.

References

[1] Gavrilov S.V. Investigation of the mechanism of island arc formation and the back-arc spreading of the lithosphere. Geophysical Researches. 2014; 15: 35–43.

[2] Zharkov V.N. Physics of the Earth’s Interiors. Moscow, Science and Education, 2012, 384 p.

[3] Fercshtatter G.B. Paleozoic intrusive magmatism at Urals – a key to understanding the orogenesis nature. The Lithosphere. 2012; 1: 3-13.

[4] Schubert G., Turcotte D.L., Olson P. Mantle Convection in the Earth and Planets. New York, Cambridge University Press, 2001, 940 p.

[5] Gavrilov S.V., Abbott D.H. Thermo-mechanical model of heat- and mass-transfer in the vicinity of subduction zone. Physics of the Earth. 1999; 35(12): 967–976.

[6] Billen M., Hirth G. Newtonian versus non-Newtonian Upper Mantle Viscosity: Implications for Subduction Initiation. Geophys. Res. Lett. 2005; 32: (L19304), doi: 10.1029/2005GL023458.

[7] Zharkov V.N. Geophysical Researches of the Planets and Satellites. Moscow, Joint Institute of Physics of the Earth RAS, 2003, 102 p.

[8] Trubutsyn V.P., Trubitsyn A.P. Numerical model of formation of the set of lithospheric plates and their penetration through the 660 km boundary. Physics of the Earth. 2014; 6: 138-147.

How to cite this paper

The Solution Of 2D Hydrodynamic Equations In The Boussinesq Approximation: A Mechanism Of Hydrocarbons Transport To The Earth's Surface

How to cite this paper: Sergei V. Gavrilov, Andrey L. Kharitonov. (2018) The Solution Of 2D Hydrodynamic Equations In The Boussinesq Approximation: A Mechanism Of Hydrocarbons Transport To The Earth's SurfaceJournal of Applied Mathematics and Computation2(8), 266-270.

DOI: http://doi.org/10.26855/jamc.2018.07.001