Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky

Bereslavckii Eduard Naumovich

doi:doi:10.11648/j.ijtam.20170304.11

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Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky

Bereslavckii Eduard Naumovich

Published in International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 4)

Received: 8 May 2017 Accepted: 1 June 2017 Published: 21 July 2017

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Abstract

In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina's method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 4)
DOI	10.11648/j.ijtam.20170304.11
Page(s)	129-137
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Filtration, Infiltration, Groundwater Aquifers, Ditch, Tongue of Zhukovsky, Polubarinova-Kochina's Method, Fuchs Differential Equations, Complex Flow Velocity, Conformal Mappings

References

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[18]	E. N. Bereslavskii. Some hydrodynamic models related to the problem of the flow of Zhukovsky tongue // Dokl. Russian Academy of Sciences. 2013. T.448. Number 5. S.529-533.
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Bereslavckii Eduard Naumovich. (2017). Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. International Journal of Theoretical and Applied Mathematics, 3(4), 129-137. https://doi.org/10.11648/j.ijtam.20170304.11

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ACS Style

Bereslavckii Eduard Naumovich. Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. Int. J. Theor. Appl. Math. 2017, 3(4), 129-137. doi: 10.11648/j.ijtam.20170304.11

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AMA Style

Bereslavckii Eduard Naumovich. Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. Int J Theor Appl Math. 2017;3(4):129-137. doi: 10.11648/j.ijtam.20170304.11

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@article{10.11648/j.ijtam.20170304.11,
  author = {Bereslavckii Eduard Naumovich},
  title = {Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {3},
  number = {4},
  pages = {129-137},
  doi = {10.11648/j.ijtam.20170304.11},
  url = {https://doi.org/10.11648/j.ijtam.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20170304.11},
  abstract = {In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina's method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.},
 year = {2017}
}

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TY  - JOUR
T1  - Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky
AU  - Bereslavckii Eduard Naumovich
Y1  - 2017/07/21
PY  - 2017
N1  - https://doi.org/10.11648/j.ijtam.20170304.11
DO  - 10.11648/j.ijtam.20170304.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 129
EP  - 137
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20170304.11
AB  - In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina's method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.
VL  - 3
IS  - 4
ER  -

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Author Information

Bereslavckii Eduard Naumovich

Department of Applied Mathematics and Informatics, University of Civil Aviation, St. Petersburg, Russia

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APA Style

Bereslavckii Eduard Naumovich. (2017). Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. International Journal of Theoretical and Applied Mathematics, 3(4), 129-137. https://doi.org/10.11648/j.ijtam.20170304.11

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ACS Style

Bereslavckii Eduard Naumovich. Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. Int. J. Theor. Appl. Math. 2017, 3(4), 129-137. doi: 10.11648/j.ijtam.20170304.11

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AMA Style

Bereslavckii Eduard Naumovich. Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky. Int J Theor Appl Math. 2017;3(4):129-137. doi: 10.11648/j.ijtam.20170304.11

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@article{10.11648/j.ijtam.20170304.11,
  author = {Bereslavckii Eduard Naumovich},
  title = {Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {3},
  number = {4},
  pages = {129-137},
  doi = {10.11648/j.ijtam.20170304.11},
  url = {https://doi.org/10.11648/j.ijtam.20170304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20170304.11},
  abstract = {In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina's method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Modeling the Movement of Groundwater from the Pits, Surrounded with Tongues of Zhukovsky
AU  - Bereslavckii Eduard Naumovich
Y1  - 2017/07/21
PY  - 2017
N1  - https://doi.org/10.11648/j.ijtam.20170304.11
DO  - 10.11648/j.ijtam.20170304.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 129
EP  - 137
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20170304.11
AB  - In the hydrodynamic statement the filtration low from ditches, walled tongues of Zhukovsky is considered. The fluid moves through the layer of soil, underlain by a well-permeable pressure aquifer, which is contained waterproof area on the roof. For study the infiltration to the free surface of groundwater is formulated a mixed multi-parameter boundary value problem of the theory of analytic function, which is solved by the Polubarinova-Kochina's method and ways the conformal mapping areas of a special kind, which are characteristic for tasks of an underground hydromechanics.
VL  - 3
IS  - 4
ER  -

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