Mathematical modelling of filtration processes in drainage systems with different depths of drainage

• Autorzy: Havryliuk Volodymyr , Bomba Andrii , Pinchuk Oleg , Gerasimov Ievgenii , Klimov Serhii , Tkachuk Mykola , Turcheniuk Vasyl

Identyfikatory

DOI

10.24425/jwld.2021.138163

• Języki publikacji: EN

Abstrakty

EN

The article discusses the option for the application of the methodology for the solution of boundary value problems on the conformal mapping for the calculation of filtration process in the horizontal systematic drainage, provided that the drain is installed at a different depth. In particular, the case of methods combining fictitious areas and quasiconformal mappings for solving nonlinear boundary conditions problems for calculating filtration regimes in soils with free sections of boundaries (depression curves) and intervals of the “drainage” type. As an example, the authors designed a hydrodynamic flow grid, determined the values of the flows to the drain, established a section line and elicited other process characteristics. The algorithm for the numerical solution of model nonlinear boundary conditions problems of quasiconformal reflection in areas bounded by two equipotential lines and two flow lines, when for one of the sections, the boundary is an unknown (free) curve with fixed and free ends. The conducted numerical calculations prove that the problems and algorithms of their numerical solution, with a relatively small iterations number (k = 141) suggested in the paper, can be applied in the simulation of nonlinear filtration processes that arise in horizontal drainage systems. Total filtration flow obtained Q = 0.9 dm³∙s^–1; flow for drains Q₁ = 0.55 dm³∙s^–1 and Q₂ = 0.35 dm³∙s^–1 are quite consistent with practically determined values.

Słowa kluczowe

EN

conformal mapping; drainage systems; filtration processes; flood protection; mathematical modelling

• Wydawca: Wydawnictwo ITP
• Czasopismo: Journal of Water and Land Development
• Rocznik: 2021
• Tom: no. 50
• Strony: 74--78
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Havryliuk Volodymyr

• Rivne State University of Humanities, Rivne, Ukraine

• https://orcid.org/0000-0001-9914-5733

autor

Bomba Andrii

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0001-5528-4192

autor

Pinchuk Oleg

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0001-6566-0008

autor

Gerasimov Ievgenii

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0001-7194-8251

autor

Klimov Serhii

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0002-5993-847X

autor

Tkachuk Mykola

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0002-7639-1402

autor

Turcheniuk Vasyl

• National University of Water and Environmental Engineering, Rivne, 11 Soborna St., 33028, Ukraine

• https://orcid.org/0000-0002-1938-0344

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