Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Корсаков А.В.   Zhukov V.P.  

The Numerical Modelling of Viscoelastic evolution of the stress in inclusion–host systems

Reporter: Zhukov V.P.

The distribution of the residual pressure in mineral inclusions in host minerals have been widely used to infer P-T history. The dependence of the lithospheric pressure on depth is well known. So the information about P-T history allows to reconstruct the trajectory of the rock in Earth. This gives information about the earth's crust evolution.

In this paper a viscoelastic model was applied for reconstruction of the P-T history of coesite-quartz inclusion in garnet using the residual pressure distribution. The inclusion and the host are assumed to be concentric spheres. The possibility of phase transition coesite quartz and relaxation of the shear stresses are taken into account. The equations are solved numerically.
The relaxation time is known with an accuracy of 2 orders. In spite of this the model gives a definite P-T history. It is shown, that the system firstly suffer the nearly isothermal decompression from 6 GPa (the depths about 150 km) to 1 GPa (40 km) at high temperature (about 1300 K) and than it is simultaneously cooled and exhumed to ambient conditions. The residual pressure dates were obtained by Raman spectroscopy (Korsakov et al., 2007; 2009).

The finite-difference code using shifted grids for 3-D viscoelastic model had been created. The equations, which are of elliptic type were solved by splitting method.
Acknowledgements: This study was supported by the RFBR grants 10-05-00616-а.

Abstracts file: zhukkors_ya_2011.doc
Full text file: zhukors_rassh (1).doc

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