On an approach to modeling wells
K.V. Voronin1,2, A.V. Grigoriev1,3, Yu.M. Laevsky1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, Russia, 630090
2Novosibirsk State University, 1 Pirogova str., Novosibirsk, Russia, 630090
3North-Eastern Federal University, 58 Belinsky str., Yakutsk, Republic of Sakha (Yakutia), Russia, 677027
Keywords: скважины, смешанная формулировка, смешанный метод конечных элементов, оценка погрешности, wells, mixed formulation, mixed finite element method, error estimate
Abstract
This paper deals with a numerical study of the diffusion problem in the presence of wells, at which integral boundary conditions are used. It is shown that the method proposed earlier is fully efficient and offers certain advantages as compared with the direct modeling of wells based on the finite element method. The results of calculations for the two wells are presented.
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