A new approach to determining symmetry groups of filtration properties of porous media in nonlinear filtration laws

Doklady Physics - Tập 62 - Trang 190-193 - 2017
V. M. Maksimov1, N. M. Dmitriev2, M. N. Dmitriev2
1Institute for Problems of Oil and Gas, Russian Academy of Sciences, Moscow, Russia
2Gubkin Russian State University of Oil and Gas, Moscow, Russia

Tóm tắt

Theoretical analysis of filtration properties of porous media for orthotropic and monoclinic symmetry groups has been carried out. It is shown how it is possible to establish a type of symmetry with the help of special laboratory investigations and to distinguish groups with orthotropic and monoclinic symmetry. It is established that the criterion for solving this problem is the use of nonlinear Darcy law at high flow velocities, where the effects of asymmetry of filtration properties manifest themselves upon a change in the flow direction.

Tài liệu tham khảo

V. V. Semenov, A. Yu. Kazanskii, and E. A. Bannikov, Geologiya, Geofizika i Razrabotka Neftyanykh i Gazovykh Mestorozhdenii, No. 1, 18 (2008). A. A. Zlobin, S. V. Lebedev, and I. R. Yushkov, Geologiya, Geofizika i Razrabotka Neftyanykh i Gazovykh Mestorozhdenii, No. 8, 66 (2008). V. M. Maksimov and N. M. Dmitriev, J. Nafta-Gaz LXIX, 302 (2013). Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1975) [in Russian]. V. V. Lokhin and L. I. Sedov, Prikl. Mat. Mekh. 27 (3), 393 (1963). M. N. Dmitriev, N. M. Dmitriev, V. M. Maksimov, and D. Yu. Semiglasov, Fluid Dyn. 45 (3), 469 (2010). N. M. Dmitriev and V. M. Maksimov, Prikl. Mat. Mekh. 65 (6), 963 (2001). K. S. Basniev, I. N. Kochina, and V. M. Maksimov, Underground Hydromechanics (Nedra, Moscow, 1993) [in Russian].