Mathematical modelling of the selective intake process from the interior volume in a three-layer stratified reservoir

2020 ◽  
Author(s):  
И.Д. Музаев ◽  
К.С. Харебов ◽  
Н.И. Музаев
Keyword(s):  
Boundary Value Problem ◽  
Mathematical Modelling ◽  
Water Intake ◽  
Flow Rate ◽  
Intermediate Layer ◽  
Intake Process ◽  
Intake Pipe ◽  
Stratified Reservoir ◽  
Selective Intake ◽  
Interior Volume

Проведено механико-математическое моделирование селективного водозаборного процесса в трехслойном стратифицированном водоеме, когда вода забирается из внутреннего объема промежуточного слоя водоема. Составленная математическая модель представляет контактную начально-краевую задачу теории поверхностных и внутренних гравитационных волн в идеальной несжимаемой жидкости. Водозабор из внутреннего пространства промежуточного слоя смоделирован в виде объемного стока с бесконечно малой толщиной и конечным сточным расходом. В результате решения поставленной начально-краевой задачи получена система расчетных формул, которая с привлечением компьютерных средств позволяет выбирать диаметр водозаборной трубы и расход через нее, вычислять отметку глу- бинного расположения конца водозаборной трубы. Выбор этих параметров обеспе- чивает селективный водозабор исключительно из промежуточного слоя, где вода чище и холоднее, чем в других слоях водоема. The purpose of this work is to carry out mathematical modelling of selective water intake process in a three-layer stratified reservoir, when the water is taken from the interior volume of the intermediate layer of the reservoir. In the methodology for solving the problem, the water intake from the interior volume of the intermediate layer is modelled as a finite flow rate drain of fluid trough an infinitely thin layer. The contact initial-boundary value problem of the theory of surface and internal gravitational waves in an ideal incompressible fluid is used as a mathematical model of the water intake process. As a result we obtain a system of calculation formulas for estimation of the diameter of water intake pipe and the flow rate through it. The depth mark of the end of the water intake pipe was calculated. Originality/value: 1. The boundary value problem simulating a selective water intake process from the internal volume of the intermediate layer of a three-layer stratified reservoir was formulated and solved. 2. On the basis of the obtained set of formulas, computer experiments were performed and thus the regularities of the influence of the above external input parameters on the process were established. 3. The choice of these parameters provides selective intake exclusively from the intermediate layer, where the water is cleaner than in the lower layer and colder in summer than in the upper layer.

Mathematical modelling of the selective deep water intake process in a non-prismatic continuously stratified reservoir

2021 ◽  
pp. 15-29
Author(s):  
Илларион Давидович Музаев ◽  
Константин Сергеевич Харебов ◽  
Нугзар Илларионович Музаев
Keyword(s):  
Boundary Value Problem ◽  
Water Intake ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Ideal Incompressible Fluid ◽  
Hydrodynamic Effect ◽  
Intake Process ◽  
Stratified Reservoir ◽  
Current Lines

Разработана математическая модель селективного водозаборного процесса в узко-глубоком непризматическом водоеме при наличии в нем прямой непрерывной плотностной стратификации. Модель представляет контактную краевую задачу потенциального движения воды в указанном водоеме. Движение воды обусловлено забором воды через два окна, устроенных одно над другим на напорной грани водоема. Учтена непризматическая конфигурация водоема в плане и по вертикали. Непризматические конфигурации описаны экспоненциальными функциями. В результате аналитического решения поставленной контактной краевой задачи получена совокупность расчетных формул, которая с привлечением конечноразностного метода Рунге-Кутты и компьютерных вычислительных систем позволила построить линии тока, приходящие к верхней кромке нижнего водозаборного окна. Вычислительные эксперименты показали, что по мере увеличения скорости потока воды через верхнее окно указанные линии тока опускаются вниз. При этом становится возможным управлять водозаборным процессом через нижнее окно с тем расчетом, чтобы в нижнее окно вода поступала из нижних холодных слоев водоема, что часто бывает необходимо для нужд теплоотвода от тепловыделяющих устройств предприятий, в том числе тепловых и атомных электростанций. 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

Mathematical modelling of the method for controlling selective water intake process in a stratified reservoir

2020 ◽  
pp. 4-16
Author(s):  
Илларион Давидович Музаев ◽  
Константин Сергеевич Харебов ◽  
Нугзар Илларионович Музаев
Keyword(s):  
Mathematical Model ◽  
Velocity Field ◽  
Boundary Value Problem ◽  
Water Intake ◽  
Boundary Value ◽  
Temperature Stratification ◽  
Water Supply Systems ◽  
Technical Solution ◽  
Vertical Temperature ◽  
Intake Process

Разработана математическая модель способа управления селективным водозаборным процессом, когда вода забирается из водоема с вертикальной непрерывной температурной стратификацией. Предлагаемый способ обеспечивает снабжение холодной водой систем технического водоснабжения ТЭС, АЭС, предприятий. Составленная математическая модель представляет стационарную краевую задачу гидродинамики мало сжимаемой жидкости. Сжимаемость обусловлена вертикальной температурной стратификацией. В результате решения поставленной краевой задачи определены проекции вектора скорости, вычислена линия тока, приходящая к верхней кромке донного водозаборного окна. По мере увеличения скорости водозабора через вспомогательное окно упомянутая линия тока опускается вертикально вниз и температура забираемой через нижнее окно воды уменьшается. Составляющие вектора скорости движения воды в водоеме вычислены строгими аналитическими методами математической физики. Линии тока рассчитаны методами конечных разностей Рунге - Кутты. The purpose of this study is to develop a mathematical model of a method for controlling selective water intake process, when water is taken from a reservoir with continuous vertical temperature stratification. The methodology for solving the problem implies that water is taken from the reservoir through a window, which is adjacent to the bottom of reservoir. The water intake process is controlled by varying the rate of water intake through an auxiliary window located above the main bottom window. As the speed of water intake through the auxiliary window increases, the thickness of the active layer of water entering the opening of the bottom window decreases. The average temperature of water taken through the bottom window is shown to decrease. The stationary boundary value problem for hydrodynamics of a slightly compressible fluid is chosen as a mathematical model. In the immediate vicinity of the vertical pressure head of the reservoir, the velocity field was calculated using the theory of the boundary layer. Further, a nonlinear boundary value problem was posed that simulates the position of the streamline coming to the upper edge of the lower water intake window. The boundary value problem is solved by the Runge - Kutta finite-difference method. A set of formulas for calculating the velocity field of fluid flow was then obtained. Originality/value: 1. A new original method for controlling selective water intake in a reservoir with continuous vertical temperature stratification has been developed and theoretically justified. The method allows taking water exclusively from the deep-cold layers of the reservoir. 2. The value of the method leads to a technical solution - the installation of an additional upper water intake window above the bottom intake one. This allows controlling the temperature of water used in technical water supply systems of thermal power stations, nuclear power plants and enterprises. 3. An adequate mathematical model for the proposed method was developed and solved. Based on this model, a set of calculation formulas that allow controlling the temperature of the extracted water is obtained.

Development of hydrodynamic calculation method for selective water intake process in the reservoir with continuous density stratification along the entire depth

2018 ◽  
Author(s):  
Н.И. Музаев ◽  
К.С. Харебов ◽  
И.Д. Музаев
Keyword(s):  
Froude Number ◽  
Water Intake ◽  
Calculation Method ◽  
Density Stratification ◽  
Industrial Enterprises ◽  
Intake Process ◽  
Continuous Density ◽  
Power Stations ◽  
Hydrodynamic Calculation ◽  
Density Froude Number

Разработан гидродинамический метод расчета селективного водозаборного процесса в водоеме с непрерывной по всей глубине плотностной стратификацией. В качестве математической модели водозаборного процесса использована краевая задача линейной теории поверхностных гравитационных волн малой амплитуды в идеальной несжимаемой и неоднородной жидкости. Получена совокупность расчетных формул, которая позволяет решить задачу водоснабжения промышленных предприятий, в том числе тепловых и атомных электростанций, из водоемов с непрерывной плотностной стратификацией. Предлагаемый метод расчета позволяет определить скорость водозабора через окно и высоту водозаборного окна, которые обеспечивают надлежащее положение поверхности раздела, соответствующее заданной плотности (температуры) забираемой воды. The purpose of this work is to develop the hydrodynamic calculation method for selective water-intake process applied to the problem of water supply to industrial enterprises, including thermal and atomic power stations using the reservoirs with the continuous density stratification. In the method of solving the problem, the variation of density along the depth is approximated by an exponential function. The water is taken through a window arranged on the side of the water body. The boundary value problem for the linear theory of surface gravity waves of small amplitude in an ideal incompressible and inhomogeneous fluid is used as a mathematical model of the water intake process. As a result, a set of calculation formulas has been obtained that allows solving the problem of water supply to industrial enterprises, including thermal and nuclear power stations, from water bodies with a continuous density stratification along the depth. Computational experiments have been performed, the results of which are given in the form of graphs of the dependence of the thickness of the bottom layer of water sucking the window on the density Froude number and on the height of the water intake window. The following conclusions are made on the basis of the comparison of the developed hydrodynamic calculation method compared with the existing hydraulic method: 1. In the existing hydraulic method of calculation, only the law of the dependence of the thickness of the suction ground layer of water on the density Froude number is described, however the nature of its dependence on the height of the water intake window is not established. 2. In the hydrodynamic calculation method of selective water-intake process developed in the article, the law of the dependence of the sucking through the window water ground layer thickness both on the density Froude number and on the height of waterintake window is established. 3. In connection with the aforementioned deficiency of the hydraulic calculation method, in reservoirs characterized by a continuous density stratification in depth, calculations and design of selective water intake devices should be carried out according to the hydrodynamic method developed in the article.

scholarly journals ASSESSMENT OF CHANGES IN THE HYDROGEOLOGICAL CONDITIONS CAUSED BY WET-BASED CONSERVATION OF THE STYLSKYI QUARRY OPERATED BY “DOKUCHAEVSK FLUX AND DOLOMITE COMPLEX” PJSC USING MATHEMATICAL MODELLING

2021 ◽  
pp. 17-34
Author(s):  
Yu.F. Rudenko ◽  
V.M. Shestopalov ◽  
Iu.A. Negoda ◽  
O.V. Gural
Keyword(s):  
Mathematical Modelling ◽  
Water Intake ◽  
Raw Materials ◽  
Research Area ◽  
Coal Industry ◽  
Hydrogeological Model ◽  
Mining Operations ◽  
Hydrogeological Parameters ◽  
Hydrogeological Conditions ◽  
Water Outflow

Extraction of minerals significantly affects the hydrogeological conditions of the environment. Active development of mining operations in the Donbas region determined the dominant influence of technogenic changes in geological environment on the formation of modern ecological conditions in the region. This applies not only to coal mining but also raw materials extraction (dolomites, limestone) for metallurgical plants mostly by quarrying. Recently, a significant environmental problem in the region has been the mines and quarries closure, envisaged by the program for restructuring the coal industry of Ukraine. Closure of mines or quarries through wet-based conservation is the least financially expensive, although it significantly increases the technogenic load on the natural environment. The object of research involved groundwater and surface water within the area of the Stylskyi and Skhidnyi (Vostochnyi) quarries of the “Dokuchaevsk flux-dolomite complex” PJSC, as well as Kipucha Krynytsa and Shevchenkivskyi water intake structures. The goal of research was to forecast changes in the hydrogeological conditions under the influence of wet-based conservation of the Stylskyi quarry. To achieve this goal, hydrogeological methods, mathematical modelling, and expert assessments were used. Consequently, a hydrogeological model of the research area was created, its functional correspondence to the natural-anthropogenic conditions was confirmed, and calculation hydrogeological parameters were specified. As a result, the forecast of changes in the hydrogeological conditions under the influence of wet-based conservation of the Stylskyi quarry was made. In particular, the following issues were determined: the dynamics of quarry flooding; the influence of this process on changes in water inflows to the Skhidnyi (Vostochnyi) quarry, Kipucha Krynytsa and Shevchenkivskyi water intake structures; possible flooding of settlements and swamping of the research area; changes in chemical composition and groundwater salinity; time of quarry draining at various intensity of water outflow to resume mineral production in case of need. We would like to emphasize that the forecasts made should be used when designing partial or full flooding of the Stylskyi quarry.

scholarly journals Increase fish protective efficiency constructions of meliorative water intake

2020 ◽  
pp. 69-73
Author(s):  
Svetlana Mikhailovna Dragunova ◽  
Yevgeniy Vladimirovich, Кuznetsov ◽  
Anna Yevgenievna Khadzhidi
Keyword(s):  
Physical Model ◽  
Water Intake ◽  
Flow Rate ◽  
Juvenile Fish ◽  
Protective Efficiency ◽  
Irrigation Systems ◽  
Relative Flow Rate ◽  
Reclamation System ◽  
Relative Flow ◽  
Fish Protection

The article solves the problem of increasing the level of protection of juvenile fish to a standard indicator by the modernization of individual elements of fish protection of ameliorative water intake of irrigation systems. The design of an integrated fish-protecting structure with a logging boom adapted to hydrology and the rhythm of migration of juvenile fish from irrigation sources has been proposed. The results of studies on a physical model, taking into account the costs of the reclamation system, show an increase in the efficiency of the combined fish protection structure with a harbor for reclamation water intakes in the range of 78,5–84,0 %, depending on the relative flow rate on the shelf of the sanctuary.

First Records of the Chinese Mitten Crab, Eriocheir sinensis, (Crustacea:Brachyura) from North America

1973 ◽  
Vol 30 (12) ◽  
pp. 1909-1910 ◽  
Author(s):  
S. J. Nepszy ◽  
J. H. Leach
Keyword(s):  
North America ◽  
Water Intake ◽  
Lake Erie ◽  
Eriocheir Sinensis ◽  
Chinese Mitten Crab ◽  
Detroit River ◽  
Intake Pipe ◽  
Mitten Crab

Three specimens of the Chinese mitten crab, Eriocheir sinensis, were captured commercially by gillnets in Lake Erie in April and May, 1973, and one was taken from a water-intake pipe in the Detroit River in 1965. These are the first published records of this species for North America. The hazard of establishment of this catadromous crab in North America is discussed.

scholarly journals Specific Features of Water Quality Regulation In Process of its Selective Abstraction from Reservoirs

2017 ◽  
Author(s):  
Keyword(s):  
Water Quality ◽  
Water Intake ◽  
Water Mass ◽  
Water Volume ◽  
Stable Operation ◽  
Ansys Fluent ◽  
Active Rules ◽  
Quality Regulation ◽  
Mass Stratification ◽  
Selective Intake

Issues of effectiveness enhancement of the water selective intake for solution of drinking water supply problems with the Perm Chusovaya water intake as a study case have been discussed. Abstraction of water with the best consumption properties is of significant interest in the case of stable vertical water mass stratification. If water with the required properties locates in the upper layers establishment of bottom barriers around water intake head walls to cut off water intake from near-bottom layers is the most effective tool. At this the barrier parameters are to be determined by both the taken water volume and the height of the “discontinuous jump layer” position that define the water mass boundary. The barrier parameters are to be in accordance with the currently active Rules of Reservoirs Exploitation. Field and computation experiments have been carried out to elaborate the technique of stable intake of water with the required consumption properties. A series of computation experiments on impact of water intake amount on the taken water quality has been carried out in 3D with ANSYS Fluent package of computation hydrodynamics. The task was solved within the frameworks of non-stationary isothermal approach. Conclusions concerning both water quality enhancements in the conditions of significant chemical/physical properties’ heterogeneity by depth and provision of effective and stable operation of selective water intake have been obtained.

Sign in / Sign up

Export Citation Format

Share Document