ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS
During the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of susp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2021-06-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/index.php/ijccse/article/view/367 |
| _version_ | 1818778601264250880 |
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| author | Ludmila Kuzmina Yuri Osipov |
| author_facet | Ludmila Kuzmina Yuri Osipov |
| author_sort | Ludmila Kuzmina |
| collection | DOAJ |
| description | During the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through the pores of a rock. For a one-dimensional filtration problem in a homogeneous porous medium with almost constant coefficients, an asymptotic solution is constructed. The asymptotics is compared with the numerical solution. |
| first_indexed | 2024-12-18T11:47:19Z |
| format | Article |
| id | doaj.art-c84ee67f0a0947bcba36c053a8e24096 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-12-18T11:47:19Z |
| publishDate | 2021-06-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-c84ee67f0a0947bcba36c053a8e240962022-12-21T21:09:15ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952021-06-0117210.22337/2587-9618-2021-17-2-43-49ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTSLudmila Kuzmina0Yuri Osipov1National Research University Higher School of Economics, Moscow, RUSSIANational Research Moscow State University of Civil Engineering, Moscow, RUSSIADuring the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through the pores of a rock. For a one-dimensional filtration problem in a homogeneous porous medium with almost constant coefficients, an asymptotic solution is constructed. The asymptotics is compared with the numerical solution.https://ijccse.iasv.ru/index.php/ijccse/article/view/367deep bed filtration, suspensions and colloids, porous medium, suspended and retained particles, asymptotic solution |
| spellingShingle | Ludmila Kuzmina Yuri Osipov ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS International Journal for Computational Civil and Structural Engineering deep bed filtration, suspensions and colloids, porous medium, suspended and retained particles, asymptotic solution |
| title | ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS |
| title_full | ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS |
| title_fullStr | ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS |
| title_full_unstemmed | ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS |
| title_short | ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS |
| title_sort | asymptotics of the filtration problem with almost constant coefficients |
| topic | deep bed filtration, suspensions and colloids, porous medium, suspended and retained particles, asymptotic solution |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/367 |
| work_keys_str_mv | AT ludmilakuzmina asymptoticsofthefiltrationproblemwithalmostconstantcoefficients AT yuriosipov asymptoticsofthefiltrationproblemwithalmostconstantcoefficients |