Mathematical Modeling of Seismic Vibrations of System: Tailings Dam and Soil Foundations

Музаев, И.Д.; Харебов, К.С.; Музаев, Н.И.; Козырев, Е. Н.; Makiev, V.D.; Gabaraev, A.F.; Morozov, F.S.; Chitishvili, M.I.

doi:10.2991/ciggg-18.2019.39

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…There are three main types of economic mechanisms for nature management: marketbased, command-and-control, and mixed mechanisms [12][13][14][15].…”

Section: Environmental Impact Assessmentmentioning

confidence: 99%

RETRACTED: Economic mechanisms of environmental protection

Kartsan,

Matyunina

et al. 2023

E3S Web Conf.

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This article explores the various economic mechanisms that can be implemented for environmental protection. The sustainable development of any country depends on preserving natural systems and maintaining the appropriate quality of the environment. The article discusses the history of economic thought and its impact on environmental problems, as well as the development of new concepts of sustainable development. The economic mechanisms discussed include environmental taxes, emissions trading, subsidies, environmental fees, and others. Additionally, the article explores the importance of environmental audits and impact assessments in ensuring the effectiveness of economic mechanisms in protecting the environment.

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“…There are three main types of economic mechanisms for nature management: marketbased, command-and-control, and mixed mechanisms [12][13][14][15].…”

Section: Environmental Impact Assessmentmentioning

confidence: 99%

RETRACTED: Economic mechanisms of environmental protection

Kartsan,

Matyunina

et al. 2023

E3S Web Conf.

View full text Add to dashboard Cite

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“…Lombardo V.N., Mirsaidov M.M., Eshmatov Kh., Abdikarimova R.A., Muzaeva I.D., Belostotsky A.M. are devoted to the issues of numerical modeling of the interaction of hydraulic structures with the aquatic environment. [22][23][24][25], including with the use of universal software systems, these issues were considered by Kozinets G.L., Zaborova D.D. and others [26,27].…”

Section: Methodsmentioning

confidence: 99%

Hydrodynamic pressure of water on the head face of an earth dam during an earthquake

Bestuzheva,

Gotsiridze

2023

E3S Web Conf.

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The loads acting on the pressure face of hydraulic structures from the water mass of the reservoir during earthquakes are usually set in the form of a diagram of the coefficients of the added mass of water, while the hydrodynamic pressure of water along the height of the pressure face is distributed in proportion to the diagram of the obtained coefficients. The paper presents a solution to the problem of hydrodynamic water pressure on the pressure face of an earth dam at slope angles from 0 to 75 degrees (with respect to the vertical). Construction of isolines of the streamline function distributionψ (x, z) in the computational domain was carried out in PC MATLAB. Solution Δψ = 0 allows to build isolines of the distribution of the hydrodynamic pressure function φ(x, z) in the computational area. The paper presents hydrodynamic grids and graphs that make it possible to construct a diagram of the added mass of water for the entire range of emplacement of the upper slopes of dams. The developed method for solving the problem of hydrodynamic water pressure on the pressure face of the dam can be applied to any shape of the slope profile of the dam.

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“…The development of theoretical foundations for taking into account the interaction of structures with the aquatic environment during vibrations began in the 30s of the last century; however, even today, it is being actively developed by domestic [1,2] and foreign scientists [3][4][5][6][7][8][9][10], both finite element methods and analytical methods are used for solving individual problems. When solving the problem of the hydrodynamic interaction of a solid body with a liquid, some prerequisites are taken into account: about the properties of the liquid (viscosity, compressibility, uniformity); about the state of the free surface of the water (wave, waveless); -about the properties of the host bed of the reservoir (elastic, rigid); about the properties of a solid body (elastic, rigid).…”

Section: Introductionmentioning

confidence: 99%

The function of coefficients of added mass of water

Bestuzheva

Gotsiridze

2023

E3S Web of Conf.

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The hydrodynamic effect of the water mass of the reservoir on the pressure face of the dam can be determined from the function of the coefficient of the added mass of water obtained in the Westergard solution. For an inclined pressure face, the design standards introduce a correction factor, which is recommended to be taken into account until the slope of the pressure face does not exceed 150; there are no such recommendations for earth dams, however, in the calculations of seismic resistance of earth dams, taking into account hydrodynamic water pressure is also important. Theoretically, the values of the coefficients of the added mass of water can be determined based on the numerical solution of the Laplace equation in the computational domain with given boundary conditions and the graphical-analytical construction of a hydrodynamic grid. Thus, in the MATLAB environment, computational schemes were built for different laying of the pressure head of the dam in the range from vertical to flat with laying 1:3, and orthogonal hydrodynamic grids were built, reflecting the solution of the Laplace equations concerning the functions of pressure and velocity potentials. For all problems, diagrams of the coefficients of the added mass of water are constructed, and they are compared with the Westergaard analytical solution. For practical use in the work, all solutions for constructing diagrams of the coefficients of the added mass of water are presented in the form of a nomogram.

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Mathematical Modeling of Seismic Vibrations of System: Tailings Dam and Soil Foundations

Cited by 3 publications

References 9 publications

RETRACTED: Economic mechanisms of environmental protection

RETRACTED: Economic mechanisms of environmental protection

Hydrodynamic pressure of water on the head face of an earth dam during an earthquake

The function of coefficients of added mass of water

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