Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems

Равшанов, Н., Садуллаев, С.А., Кодиров, К.Р.

Рақамли технологияларнинг назарий ва амалий масалалари · 2025-yil

Annotatsiya

To study unsteady filtration and fluid displacement in multilayer porous systems, a self-similar solution has been obtained. From its form, it follows that by a special selection of parameters it is possible to ensure that a certain j-th layer remains isolated throughout the entire process, or that crossflow between layers occurs (for qi > 0 in the case of injection and qi < 0 in the case of withdrawal). Consequently, the form of the obtained solution makes it possible to perform a complete physical analysis of the process under consideration as a whole. The paper considers the problem of injecting one fluid into a system saturated with another fluid. For the problem of fluid displacement in multilayer systems, the existence and uniqueness of the solution are proved, which follows from the monotonicity of the functions Fi(ai) and fi(ai) . It is shown that, in order for the determined unknown parameter to satisfy the condition ai>0, the inequality Pr>P0(i), (i=1,2,3 ..., N) must hold. Therefore, the problem of finding a self-similar solution is solvable only when Qr>Q0.

Maqola ma’lumotlari
MualliflarРавшанов, Н., Садуллаев, С.А., Кодиров, К.Р.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2025-09-03
Jild8
Son3
Betlar70-81
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v8i3.288
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v8i3.288 · Maqolaning asl sahifasi

Kalit so‘zlar

математическая модель, автомодельные решения, задачи вытеснения жидкости, многослойные пористые системы, подземные и грунтовые воды, mathematical model, self-similar solutions, fluid displacement problems, multilayer porous systems, groundwater and subsurface water

Ilmiy soha

Texnika

Iqtibos keltirish

APAРавшанов, Н., Садуллаев, С.А., & Кодиров, К.Р. (2025). Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems. Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 70-81. https://doi.org/10.62132/ijdt.v8i3.288
GOST (OAK)Равшанов, Н., Садуллаев, С.А., Кодиров, К.Р. Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 3. – P. 70-81. – DOI: 10.62132/ijdt.v8i3.288.
MLAРавшанов, Н., Садуллаев, С.А., and Кодиров, К.Р. “Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 70-81, 2025. https://doi.org/10.62132/ijdt.v8i3.288
ChicagoРавшанов, Н., Садуллаев, С.А., and Кодиров, К.Р. “Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 70-81 (2025). https://doi.org/10.62132/ijdt.v8i3.288
HarvardРавшанов, Н., Садуллаев, С.А., and Кодиров, К.Р (2025) ‘Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(3), 70-81. https://doi.org/10.62132/ijdt.v8i3.288
BibTeX
@article{article2025,
  title = {Self-similar Solutions for Fluid Displacement Problems in Multilayer Porous Systems},
  author = {Равшанов, Н. and Садуллаев, С.А. and Кодиров, К.Р.},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2025},
  volume = {8},
  number = {3},
  pages = {70-81},
  doi = {10.62132/ijdt.v8i3.288},
  url = {https://doi.org/10.62132/ijdt.v8i3.288}
}

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