Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry

Polymers as a new chemical grouting material have been widely used in fractured rock mass; however, the understanding of polymer diffusion characteristics still needs to be further improved. In order to study the diffusion mechanism of foamed polymer slurry in rock fissures, the radial diffusion mod...

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Autores principales:	Jiasen Liang, Shaokun Ma, Xueming Du
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	polymer diffusion model crack expansion ratio grouting amount Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/400873ec49ab42629b4feb05b28266f7
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spelling	oai:doaj.org-article:400873ec49ab42629b4feb05b28266f72021-11-25T18:17:05ZDiffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry10.3390/math92229072227-7390https://doaj.org/article/400873ec49ab42629b4feb05b28266f72021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2907https://doaj.org/toc/2227-7390Polymers as a new chemical grouting material have been widely used in fractured rock mass; however, the understanding of polymer diffusion characteristics still needs to be further improved. In order to study the diffusion mechanism of foamed polymer slurry in rock fissures, the radial diffusion model of polymer single crack grouting is derived in consideration of the factors such as grouting volume, crack width and expansion rate. The influence of different factors on slurry diffusion radius, diffusion pressure and flow rate is analyzed, The diffusion model is verified by finite element numerical simulation. The findings show that (1) The results of slurry diffusion radius, pressure and velocity distribution at different times under different working conditions in the present model are in good agreement with the analytical solution; (2) The diffusion pressure is directly proportional to the grouting volume and expansion multiple, and inversely proportional to the crack width. In addition, diffusion pressure decreases with the increase of diffusion distance, and the pressure at the corresponding distance increases slowly with time, and finally tends to be stable; (3) For the same section, the radial velocity decreases slowly with the increase of time; for different sections, the flow velocity increases sharply with the increase of the distance between the section and the central axis of the grouting hole.Jiasen LiangShaokun MaXueming DuMDPI AGarticlepolymerdiffusion modelcrackexpansion ratiogrouting amountMathematicsQA1-939ENMathematics, Vol 9, Iss 2907, p 2907 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	polymer diffusion model crack expansion ratio grouting amount Mathematics QA1-939
spellingShingle	polymer diffusion model crack expansion ratio grouting amount Mathematics QA1-939 Jiasen Liang Shaokun Ma Xueming Du Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
description	Polymers as a new chemical grouting material have been widely used in fractured rock mass; however, the understanding of polymer diffusion characteristics still needs to be further improved. In order to study the diffusion mechanism of foamed polymer slurry in rock fissures, the radial diffusion model of polymer single crack grouting is derived in consideration of the factors such as grouting volume, crack width and expansion rate. The influence of different factors on slurry diffusion radius, diffusion pressure and flow rate is analyzed, The diffusion model is verified by finite element numerical simulation. The findings show that (1) The results of slurry diffusion radius, pressure and velocity distribution at different times under different working conditions in the present model are in good agreement with the analytical solution; (2) The diffusion pressure is directly proportional to the grouting volume and expansion multiple, and inversely proportional to the crack width. In addition, diffusion pressure decreases with the increase of diffusion distance, and the pressure at the corresponding distance increases slowly with time, and finally tends to be stable; (3) For the same section, the radial velocity decreases slowly with the increase of time; for different sections, the flow velocity increases sharply with the increase of the distance between the section and the central axis of the grouting hole.
format	article
author	Jiasen Liang Shaokun Ma Xueming Du
author_facet	Jiasen Liang Shaokun Ma Xueming Du
author_sort	Jiasen Liang
title	Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
title_short	Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
title_full	Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
title_fullStr	Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
title_full_unstemmed	Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry
title_sort	diffusion model of parallel plate crack grouting based on foaming expansion characteristics of polymer slurry
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/400873ec49ab42629b4feb05b28266f7
work_keys_str_mv	AT jiasenliang diffusionmodelofparallelplatecrackgroutingbasedonfoamingexpansioncharacteristicsofpolymerslurry AT shaokunma diffusionmodelofparallelplatecrackgroutingbasedonfoamingexpansioncharacteristicsofpolymerslurry AT xuemingdu diffusionmodelofparallelplatecrackgroutingbasedonfoamingexpansioncharacteristicsofpolymerslurry
_version_	1718411374272446464

Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry

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