Geodesic
Finite element simulation of the rock stress-strain state under creep
Matematičeskoe modelirovanie i čislennye metody, no. 7 (2015), pp. 101-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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A model for calculation of a rock stress-strain state considering creep is suggested. The algorithm for finite element solving the three-dimensional creep problem using finite-difference scheme of Euler's method with respect to time is presented. The specialized software is developed allowing the computer to build 3D-models of rock areas based on the initial series of 2D images, obtained with the seismic data, and to perform finite element calculation of variations in rock strain-stress state with time. Numerical simulation of rock stress-strain state was conducted on the example of a zone of the Astrakhan oil and gas field. It was found that there occurs rock mass rising in some points, and in the other points it can slope down with time. The creep rate of different layers is not the same — the highest values of the creep rate are realized in the layers of clay and sand, filled with fluid, which have the most notable creep properties. The developed algorithm and software for numerical simulation proved to be quite effective and can be applied to the study of rock stress-strain state.
Keywords: Rock, stress-strain state, creep, finite element method, numerical simulation. 
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Yu. I. Dimitrienko; Yu. V. Yurin. Finite element simulation of the rock stress-strain state under creep. Matematičeskoe modelirovanie i čislennye metody, no. 7 (2015), pp. 101-118. http://geodesic.mathdoc.fr/item/MMCM_2015_7_a6/

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