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Article information
2021 , Volume 26, ¹ 5, p.15-29
Muzaev I.D., Kharebov K.S., Muzaev N.I.
Mathematical modelling of the selective deep water intake process in a non-prismatic continuously stratified reservoir
Purpose. Mathematical simulation of the selective water intake process in a non-prismatic reservoir in the presence of continuous density stratification. Methodology. Water intake is carried out through two windows arranged one above the other on the pressure face of the reservoir. The non-prismatic configuration of the reservoir both in vertical and horizontal planes is taken into account. The contact initial-boundary value problem of the theory for surface and internal gravitational waves in an ideal incompressible fluid is used. Findings. As a result of the analytical solution of the mathematical model, a set of calculation formulas was obtained, which allows calculating the current lines coming to the upper edge of the lower water intake window. Originality/value. Authors obtain a set of formulas for the components of the water velocity vector. Using the set, a nonlinear boundary value problem is posed and solved for calculation of the current line coming to the upper edge of the lower water intake window by the finite-difference Runge–Kutta method. Based on the results of computational experiments, authors proved that the longitudinal and vertical non-prismatic configuration of a stratified reservoir significantly affects the process of selective water intake. It is proved that as the rate of water intake through the upper window increases, the thickness of the active layer from which water is taken through the lower window decreases to a certain minimum value. This hydrodynamic effect allows taking water from the deep cold layers of the reservoir.
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Keywords: selective water intake, stratified reservoir, Froude density number, velocity potential, current lines, critical positions of the interface of water layers, boundary value problem, Fourier series
doi: 10.25743/ICT.2021.26.5.003
Author(s):
Muzaev Illarion Davidovich
Dr. , Professor
Position: General Scientist
Office: Geophysical Institute of Vladikavkaz Scientific Center of Russian Academy of Scienties
Address: 362002, Russia, Vladikavkaz, 93a, Markov St.
Phone Office: (8672)76-40-31
E-mail: illarion.muzaev@yandex.ru
SPIN-code: 9346-8949Kharebov Konstantin Sergeevich
PhD. , Associate Professor
Position: Leading research officer
Office: Geophysical Institute of Vladikavkaz Scientific Center of Russian Academy of Scienties
Address: 362002, Russia, Vladikavkaz, 93a, Markov St.
Phone Office: (8672)76-40-31
E-mail: kosta7x7@yandex.ru
SPIN-code: 4564-8949Muzaev Nugzar Illarionovich
Position: Junior Research Scientist
Office: Center of Geophysical Investigations of Vladikavkaz Scientific Center of the Russian Academy of Sciences and the Government of Republic of North Ossetia -Alania
Address: 362002, Russia, Vladikavkaz, 93a Markov St.,
Phone Office: (8672)76-40-31
E-mail: muzaevn@yandex.ru
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Bibliography link:
Muzaev I.D., Kharebov K.S., Muzaev N.I. Mathematical modelling of the selective deep water intake process in a non-prismatic continuously stratified reservoir // Computational technologies. 2021. V. 26. ¹ 5. P. 15-29
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