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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 9/2(110), Pages 153–169 (Mi vsgu311)  
Mathematic Modeling

Multi-scale stress-deformation status of porous geological structure as related to well filtration flows

V. I. Astafieva, M. G. Kakhidzeb, V. I. Popkovb, A. V. Popkovab

a The Dept. of Theoretical Mechanics Samara State Aerospace University, Samara, 443086, Russian Federation
b SamaraNIPIneft, Samara, 443010, Samara
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Abstract: Mono-harmonic junction in the interaction of porous space rock stress in oil/gas saturated reservoirs and averaged hydro-dynamic flows of viscous oil towards wells obtained as a result of innovative decisions in oil industry in general is presented. Within the frames of block homogeneous models of a well through the application of 3D linear theory of wave diffusion along the surface of geophysical emission layer, mathematical statement of asymmetrical filtration challenge with finite velocity of effect is presented. Dispersive ratios for constrained and resonant dissipative structures in a shear layer of viscous-elastic filtration at the edge of a slug of water-oil displacement are given. The redistribution results for the averaged inflow profile of viscous Newtonian filtration into asymmetrical energy-stable stress-deformation status inside the saturated porous media at various constraints: in conditions of enclosed or capillary-clamped boundary and in non-constrained conditions — at the frontier of displacement or with stimulation of water-flood displacement in zones of stagnation is presented.
Keywords: system analysis, geo-information, geophysical studies, seismic emission, rock stress, petrophysics, geomonitoring, Navier–Stokes equations, hydrodynamics, filtration, longitudinal, transverse waves, diffusion, non-linear effect, dislocation, viscous elasticity, relaxation, finite velocity.
Received: 20.11.2013
Revised: 20.11.2013
Document Type: Article
UDC: 241:532.534.535.620.622.526.4
Language: Russian
Citation: V. I. Astafiev, M. G. Kakhidze, V. I. Popkov, A. V. Popkova, “Multi-scale stress-deformation status of porous geological structure as related to well filtration flows”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/2(110), 153–169
Citation in format AMSBIB
\Bibitem{AstKakPop13}
\by V.~I.~Astafiev, M.~G.~Kakhidze, V.~I.~Popkov, A.~V.~Popkova
\paper Multi-scale stress-deformation status of porous geological structure as related to well filtration flows
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 9/2(110)
\pages 153--169
\mathnet{http://mi.mathnet.ru/vsgu311}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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