Abstract
The results of numerical investigations of the problem of flow through a porous reservoir in the process of its water flooding with addition of a sediment-forming component are given. The mathematical model is based on the mass conservation laws for each of the considered phases and components supplemented with the equations of motion and constitutive relations necessary to close the system of equations. In solving the problem, an empirical dependence of the sediment formation intensity on the content of the sediment-forming component in the aqueous solution with allowance for variation in the effective porosity of the medium is used. The main features in solving the sediment-formation problem are distinguished using the empirical dependence and a contrastive analysis of the effect of choosing this dependence on the solution results is carried out. It is shown that the neglect of the experimental results in the mathematical formulation can lead to not only unjustified overestimated results in realizing the method but also give a distorted pattern of the entire process of sediment formation in fluid flow through a water-flooded porous reservoir.
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Original Russian Text © G.R. Idrisova, L.A. Kovaleva, M.V. Mavletov, A.A. Musin, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 1, pp. 101–108.
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Idrisova, G.R., Kovaleva, L.A., Mavletov, M.V. et al. Mathematical simulation of two-phase fluid flow through a water-flooded porous reservoir with sediment formation. Fluid Dyn 46, 90–96 (2011). https://doi.org/10.1134/S0015462811010108
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DOI: https://doi.org/10.1134/S0015462811010108