Аннотация
In this work, filtration and solute transport in a one-dimensional medium of fractal structure is considered.
Как цитировать
Библиографические ссылки
Khasanov M.M., Bulgakova G. T. Nonlinear and nonequilibrium effects in rheologically complex media. - Moscow-Izhevsk: Institute of Computer Research. 2003. - 288 p.(in Russian)
Mirzajanzade A.H., Khasanov M.M., Bakhtizin R.N. Modeling of oil and gas production processes. Moscow. Izhevsk: Institute of Computer Research. 2004. - 368 p. (in Russian)
Belevtsov N.S. On one fractional-differential modification of the non-volatile oil model. Mathematics and mathematical modeling. 2020. No. 06. pp. 13 – 27. DOI: 10.24108/mathm.0620.0000228. (in Russian)
Vendina A.A. On mathematical modeling of the process of fractal migration of pollutants in natural porous systems// Vestn. Sam. gos. tech. un-ta. Ser. Phys.-mat. sciences. No. 3 (24). 2011. pp. 199-201. (in Russian)
Bear J. Dynamic of fluids in porous media. Dover, New York. 1972. 761 p.
Izmerov M.A., Tikhomirov V.P. Filtration model of flow through a fractal porous medium // Fundamental and applied problems of engineering and technology. 2014. №3. C.7-14(in Russian)
Bagmanov V. H., Baykov V. A., Latypov A. R., Vasiliev I. B. Methods of interpretation and determination of parameters of the filtration equation in a porous medium with fractal properties // Bulletin of the Ufa State Aviation University. 2006. pp.146-149. (in Russian)
Bazzaev A.K. A locally one-dimensional scheme for a fractional order diffusion equation with a fractional derivative in the lower terms with boundary conditions of the first kind // Vladikavk. matem. Journal. 2014. Vol. 16. No. 2. pp. 3-13. (in Russian)
Bazzaev A.K., Tsopanov I.D. Locally one-dimensional difference schemes for the fractional order diffusion equation with a fractional derivative in the lower terms // Sib. electron. math. izv. 2015. Volume 12. pp. 80-91. (in Russian)
Bazzaev A.K., Shkhanukov-Lafishev M.H. A locally one-dimensional scheme for a fractional order diffusion equation with boundary conditions of the third kind. matem. and math. phys. 2010. Vol. 50. No. 7. pp.1200–1208. (in Russian)
Beibalaev V.D. Mathematical model of heat transfer in media with fractal structure // Matem. modeling. 2009. Vol. 21. No. 5. pp. 55-62. (in Russian)
Beibalaev V.D., Yakubov A.Z. Analysis of the difference scheme of the analog of the wave equation with the fractional differentiation operator // Vestn. Sam.state. tech. un-ta. Ser. Phys.-mat. sciences. 2014. Issue 1(34). pp. 125-133. (in Russian)
Beibalaev V.D., Shabanova M.R., Numerical method for solving the initial boundary value problem for a two-dimensional heat equation with fractional derivatives // Vestn. Sam. gos. tech. un-ta. Ser. Phys.-mat. sciences. 2010. Issue 5(21). pp. 244-251. (in Russian)
Khuzhayorov B.Kh., Djiyanov T.O., Yuldashev T.R. Anomalous Nonisothermal Transfer of a Substance in an Inhomogeneous Porous Medium // J. Eng. Phys. Thermophys. 2019, 92. Pp. 104–113.
Khuzhayorov B., Usmonov A., Nik Long NMA, Fayziev B. Anomalous solute transport in a cylindrical two-zone medium with fractal structure // Applied Sciences (Switzerland), 10, 2020, 5349.
Khuzhayorov B.Kh., Makhmudov Zh.M., Sulaimonov F.U., The problem of substance transfer in a cylindrical medium with a cylindrical macropore // Journal “Reports of the Academy of Sciences of the Republic of Uzbekistan” No. 6, 2010. Tashkent.
Khuzhayorov B.Kh., Makhmudov Zh.M., Sulaimonov F.U. Transfer of matter in a medium consisting of macroporous and microporous cylindrical zones // Uzbek journal "Problems of Mechanics", 2011, No. 3-4. pp. 37-40.
Khuzhayorov B.Kh., Sulaimonov F.U., Kholiyarov E.Ch. Inverse coefficient problem of substance transfer in a two-zone medium, taking into account equilibrium adsorption // Uzbek Journal “Problems of Mechanics”, 2014, no. 2, pp. 57-61.
Afonin A. A. Linear two-dimensional models of geofiltration in porous media with fractal structure // Izvestiya SFU. Technical sciences. Section II. Mathematical modeling of ecosystems. C.150-154. (in Russian)
Bulavatsky V. M. Fractional-difference mathematical models of dynamics of uneven geomigration processes and tasks with non-local boundary conditions // Dopovidi of the Nazi Academy of Sciences of Ukraine. Informatics is cybernetics. 2012, №12. C.31-40. (in Russian)
Serbina L.I., Vendina A.A. An asymptotic method for solving the fractional equation of migration of groundwater pollution // Vestn. SamGU. Natural Science ser. 2011. Issue 5(86). pp. 104-108. (in Russian)
Parovik R.I., Shevtsov B.M. Radon transport processes in media with fractal structure // Mathematical modeling 2009. Vol. 21. No. 8. pp. 30-36
Barenblatt G.I., Entov V.M., Ryzhik V.M. Theory of Fluid Flows Through Natural Rocks. Kluwer Academic Publisher, 1990. – 395 pp.
Авторы
J Makhmudov
F Sulaymonov
A Usmonov
J Kuljanov
Ключевые слова:
anomalous Darcy's law, fractional derivative, solute transport, filtration, porous mediumВыпуск
Раздел: Articles