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

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 ...

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Main Author: V. I. Sologaev
Format: Article
Language:Russian
Published: Siberian State Automobile and Highway University 2017-08-01
Series:Вестник СибАДИ
Subjects:
Online Access:https://vestnik.sibadi.org/jour/article/view/81
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author V. I. Sologaev
author_facet V. I. Sologaev
author_sort V. I. Sologaev
collection DOAJ
description 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.
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spelling doaj.art-baaf5c7918fb48aa99ebd79cb49e94012023-03-13T09:52:47ZrusSiberian State Automobile and Highway UniversityВестник СибАДИ2071-72962658-56262017-08-0101(53)11011510.26518/2071-7296-2017-1(53)-110-11577Application of the theory of filtration in thin layers of road constructionsV. I. Sologaev0ФГБОУ ВО "СибАДИ"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.https://vestnik.sibadi.org/jour/article/view/81теория фильтрациидорожные конструкцииподтопление
spellingShingle V. I. Sologaev
Application of the theory of filtration in thin layers of road constructions
Вестник СибАДИ
теория фильтрации
дорожные конструкции
подтопление
title Application of the theory of filtration in thin layers of road constructions
title_full Application of the theory of filtration in thin layers of road constructions
title_fullStr Application of the theory of filtration in thin layers of road constructions
title_full_unstemmed Application of the theory of filtration in thin layers of road constructions
title_short Application of the theory of filtration in thin layers of road constructions
title_sort application of the theory of filtration in thin layers of road constructions
topic теория фильтрации
дорожные конструкции
подтопление
url https://vestnik.sibadi.org/jour/article/view/81
work_keys_str_mv AT visologaev applicationofthetheoryoffiltrationinthinlayersofroadconstructions