Determination of the economic efficiency of use thermal insulation binary mixtures in road pavements

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An effective way of reducing the consequences of negative cryogenic processes on linear structures such as landing strips, automobile and rail roads in the permafrost zone, is to reduce their interaction with frozen soils through application of thermal insulation materials. The high cost of thermal insulation is the main disadvantage of this method of controlling the thermal regime of the foundations. A possible way to decrease the construction costs is to apply binary mixtures as an insulating layer. Binary mixtures comprise a structural thermal accumulating binder material, such as sand or gravel, and a thermal insulating filler material (keramzite, azerite, expanded polystyrene pellets, crushed glass). The aim of this research is to determine the area where it is economically efficient to use binary mixtures as thermal insulation in construction of roads in the permafrost zone. The influence of the thermal physical properties of the binder and filler materials on economic efficiency was considered. Two dimensionless variables were derived: a thermal physical variable describing the ratio of the thermal conductivity coefficients of the filler and the binder, and an economic variable, the ratio of cost of a unit of volume of the filler to the binder. A dimensionless objective function allowing to determine the ratio of prices of the filler and binder when it is efficient to use the binary mixture, as opposed to a single material with similar properties, was created. Equations describing the quantitative relationships of the filler concentration with the thermal physical and economic variables to determine the boundary of economic efficiency for binary mixtures with various thermal physical properties were derived. The analysis of the objective function shows that there is a large area where it is economically advantageous to use binary mixtures and they can be recommended as a substitute for single material thermal insulation in road construction. The area of expedient use of binary mixtures depending on prices was visualized in a 3D chart.

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作者简介

A. Galkin

Melnikov Permafrost Institute Siberian Branch Russian Academy of Sciences

Email: afgalkkin@mail.ru

Doctor of Sciences (Engineering), 

俄罗斯联邦, 36, Merzlotnaya Street, Yakutsk, 677010

N. Plotnikov

Melnikov Permafrost Institute Siberian Branch Russian Academy of Sciences

Email: plotnikov-nikolay96@mail.ru

Engineer, Graduate Student

俄罗斯联邦, 36, Merzlotnaya Street, Yakutsk, 677010

V. Pankov

North-Eastern Federal University in Yakutsk

编辑信件的主要联系方式.
Email: pankov1956@gmail.ru

Candidate of Sciences (Geology and Mineralogy), Associate Professor

俄罗斯联邦, 58, Belinskogo Street, Yakutsk, 677027

参考

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2. Fig. 1. The value of the objective function depending on the concentration of the heat-insulating filler for two thermal conductivity simplices (λо) at different values of the cost simplex (Со) of the materials of the binary mixture: 1 – 1; 2 – 2; 3 – 6; 4 – 8; 5 – 10; a – λо=0.05; b – λо=0.5

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3. Fig. 2. The value of the objective function depending on the simplexes of thermal conductivity (λо) and cost (Со) of materials of a binary mixture: a – at a concentration of heat-insulating filler m=0.1; b – at a concentration of heat-insulating filler m=0.4

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4. Fig. 3. The permissible ratio (Со) of the cost of filler and binder materials, at which the use of a binary thermal insulation mixture with a concentration (m) and a dimensionless thermal conductivity coefficient (λо) is cost-effective: 1 – λо=0.05; 2 – λо=0.1; 3 – λо=0.5

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5. Fig. 4. The permissible ratio (Со) of the cost of filler and binder materials, at which the use of a binary thermal insulation mixture with a concentration (m) and a dimensionless coefficient (simplex) of thermal conductivity (λо) is cost-effective

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