Mathematical Simulation of Humidification of Earth on a Slope and Calculation of Its Safety Factor

被引：2

作者：

Kutya T.V. ^{[1
]}

Martynyuk P.N. ^{[1
]}

机构：

[1] National University of Water Management and Nature Use, 11 Sobornaya Str, Rovno

来源：

Journal of Engineering Physics and Thermophysics | 2018年 / 91卷 / 05期

关键词：

adhesion; and mass transfer; angle of internal friction; boundary-value problem; heat; mathematical model; method of radial basis functions; moisture; safety factor; slip surface;

D O I：

10.1007/s10891-018-1848-2

中图分类号：

学科分类号：

摘要：

This paper presents a mathematical model of the simultaneous processes of moisture, heat, and salt transfer in a porous medium, as well as a pattern of calculation of earth stability on a slope depending on the above factors and nonlinear dependences on them of the strength characteristics of the earth. The corresponding boundary-value problem has been solved by the method of radial basis functions. A comparison has been made between the results of numerical experiments showing the relationship between the change in the value of the safety factor and the position of the slip curve depending on the heat, salt, and moisture transfer. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：1189 / 1198

页数：9

共 28 条

[21]

Vlasyuk A.P., Martynyuk P.M., Numerical Solution of the Problems of Consolidation and Filtrational Breakup of Soils under the Conditions of Heat and Mass Transfer by the Method of Radial-Basis Functions, Nats. Univ. Vodn. Khoz. Prodov., Rovno, (2010)

[22]

Vlasova E.A., Zarubin V.S., Kuvyrkin G.N., Approximate Methods of Mathematical Physics [In Russian], (2001)

[23]

Kansa E.J., Multiquadrics — a scattered data approximation scheme with application to computational fluid-dynamics. II. Solutions to parabolic, hyperbolic and elliptic partial differential equations, Comput. Math. Appl., 19, 8-9, pp. 147-161, (1990)

[24]

Kolodyazhnyi V.M., Lisina O.Y., Numerical schemes of solving boundary-value problems on the basis of meshless methods using radial basis functions and atomic radial basis functions, Probl. Mashinostr., 13, 4, pp. 49-56, (2010)

[25]

Vlasyuk A.P., Martynyuk P.M., Mathematical Simulation of Consolidation of Soils in Filtration of Salt Solutions under Nonisothermal Conditions [in Russian], (2008)

[26]

Vasil'ev F.P., Optimization Methods [in Russian], (2002)

[27]

Beiko I.V., Zin'Ko P.M., Nakonechnyi A.G., Optimization Problems, Methods, and Algorithms, Nats. Univ. Vodn. Khoz. Prodov, (2011)

[28]

Yilmaz G., The effects of temperature on the characteristics of kaolinite and bentonite, Sci. Res. Essays, 6, 9, pp. 1928-1939, (2011)

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