Geodesic
Modeling of process of gas-liquid mixture flows in the heterogeneous reservoir-borehole system
Matematičeskoe modelirovanie, Tome 29 (2017) no. 7, pp. 63-80

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Integrated mathematical model is constructed. Considering deformability and reservoir heterogeneity, solutions of coupled nonlinear differential equations, describing unsteady movement of the gas-liquid mixture in the reservoir-borehole system are found. Obtained results allow to determine the wellhead and downhole reservoir pressure in borehole with abnormally high reservoir pressure on the base of known parameters. It is shown that neglecting reservoir deformability may lead to an erroneous increase of well production.
Keywords: mathematical modeling, gas-liquid mixture, differential equation, heterogeneous deformable reservoir, pressure. 
@article{MM_2017_29_7_a4,
     author = {E. M. Abbasov and Kh. A. Feyzullayev},
     title = {Modeling of process of gas-liquid mixture flows in the heterogeneous reservoir-borehole system},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {63--80},
     publisher = {mathdoc},
     volume = {29},
     number = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_7_a4/}
}
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E. M. Abbasov; Kh. A. Feyzullayev. Modeling of process of gas-liquid mixture flows in the heterogeneous reservoir-borehole system. Matematičeskoe modelirovanie, Tome 29 (2017) no. 7, pp. 63-80. http://geodesic.mathdoc.fr/item/MM_2017_29_7_a4/