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Application of the theory of filtration in thin layers of road constructions

https://doi.org/10.26518/2071-7296-2017-1(53)-110-115

Abstract

In this study, the problem of the application of the theory of filtration of water in thin layers of road constructions from the point of view of protection against underflooding. Classical theory of filtration using Darcy’s law, the corresponding laminar regime movement. The vast majority of known analytical solutions of differential equations of filtration refers to the so-called hydraulic filtration theory. These solutions are obtained mainly in the field of water supply, protection against underflooding in urban construction and agricultural reclamation, as well as in the mining industry, for the aquifer conditions heavy duty enough (thickness). At the same time, these conditions are not peculiar to the road structure, where there are quite thin layers. At the same time water-saturated layers of roads are interspersed with waterproof layers. For example, asphalt is a waterproofing layer, and a layer of sand or gravel, on the contrary, is draining, that is water-permeable in a predetermined direction. The presence of thin layers of water-bearing structures in the road causes significant nonlinearity in the mathematical description of the initial differential equations of filtration. Therefore, in this paper, the author proposes a new approach for filtering calculations and computer modeling in the protection against underflooding of roads. The essence of this approach is to use the original method of a combination of self-similar motions, and numerical modeling of water filtration in thin layers of road constructions.

About the Author

V. I. Sologaev
The Siberian Automobile and Highway University (SibADI)
Russian Federation

Doctor of Technical Sciences, Professor, Professor of the Department urban development

644080, Russia, Omsk, Mira, 5,



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For citations:


Sologaev V.I. Application of the theory of filtration in thin layers of road constructions. The Russian Automobile and Highway Industry Journal. 2017;(1(53)):110-115. (In Russ.) https://doi.org/10.26518/2071-7296-2017-1(53)-110-115

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ISSN 2071-7296 (Print)
ISSN 2658-5626 (Online)