Mathematical modeling of transient groundwater filtration in multilayered media with a low-permeability barrier
Аннотация
The article numerical models and computational algorithms for pressure and pressureless filtration processes in single-layer porous media were analyzed, and numerical models for pressure-pressureless filtration problems in dynamically coupled, low-permeable double-layer porous media based on the laws of fluid motion were developed, and software was created to solve groundwater filtration problems based on mathematical models and computational algorithms in the Matlab software tool.
The model and software they create are used to predict groundwater movement, assess environmental safety, or manage water resources.
Литература
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[3] Belman R., Kalaba R. Quasi-linearization and nonlinear boundary value problems. Mir, Moscow, 1968.
[4] Khuzhayarov B.Kh. Macroscopic simulation of relaxation mass transport in a porous medium // Fluid Dynamics. Vol. 29, No. 5. - 2004.- P. 693-701.
[5] Suzuki A., Horne R.N., Makita H., Niibori Y., Fomin S.A., Chugunov V.A., Hashida T. Development of fractional derivative-based mass and heat transport model // Proceedings, Thirty-Eighth Workshop on Geothermal Reservoir Engineering Stanford University, Stanford, California, February 11-13. 2013. - SGP−TR−198.
[6] Khuzhayorov B.Kh., Makhmudov J.M. Mathematical models of filtration of heterogeneous liquids in porous media. - Tashkent: Fan, 2014. - 280 p.
[7] Khuzhayorov B., Dzhiyanov T., Khaydarov O. Double-Relaxation Solute Transport in Porous Media // International Journal of Advanced Research in Science, Engineering and Technology. Vol. 5, Issue 1, January 2018. – P. 5094-5100.
[8] Fomin S.A., Chugunov V.A. and Hashida T. Non-Fickian mass transport in fractured porous media // Advances in Water Resources. 34(2).- 2011.- P. 205–214.
[9] Molokovich Yu.M. Nonequilibrium filtration and its application in oil field practice. – M. – Izhevsk: Research Center “Regular and Chaotic Dynamics”; Institute of Computer Research, 2006. – P. 214.
[10] Nikiforov A.I., Sadovnikov R.V. Solution of oil reservoir flooding problems using polymer-dispersed systems on a multiprocessor computing system. Institute of Mechanics and Mechanical Engineering, Kazan Scientific Center of the Russian Academy of Sciences, 2016. Vol. 28, No. 8. – P. 112-126.
[11] Nazirova E.Sh. Mathematical models, numerical methods and software packages for studying the filtration processes of liquids and gases: Diss. Doctor of Engineering Sciences. – Tashkent, 2019. – 227 p.
[12] Samarskii A.A. Introduction to the theory of difference schemes. Moscow: “Nauka”, 1952.
[13] Saidullaev U.Zh. Compilation and numerical analysis of hydrodynamic models of filtration and suspension filtration: Diss. PhD… physical and mathematical sciences. Tashkent, 2019. – 112 p. with appendix.
[14] Makhmudov Zh.M. Improvement and analysis of mathematical models of filtration of heterogeneous liquids in porous media: Diss… Dr. of Phys. and Mathematics. Samarkand, 2019. – 216 p. with appendix
[15] Lykov AV, Mikhailov Yu.A. Theory of heat and mass transfer. M.-L.: Gosenergoizdat, 1963. – 536 p.
[16] Akilov Zh.A., Zhiyanov T.O. Double relaxation transfer of matter in a porous medium // Uzbek journal “Problems of Mechanics”, 2013, No. 2. – P.16-18.
[17] Khuzhayorov B., Dzhiyanov T., Khaydarov O. Double-Relaxation Solute Transport in Porous Media // International Journal of Advanced Research in Science, Engineering and Technology. Vol. 5, Issue 1, January 2018. – P. 5094-5100.
[18] Dzhiyanov T.O. Development and analysis of models of anomalous filtration of heterogeneous liquids in porous media: Diss...PhD in Physics and Mathematics. Tashkent, 2019. – 115 p. with appendix.
[19] Fomin S.A., Chugunov V.A. and Hashida T. Non-Fickian mass transport in fractured porous media // Advances in Water Resources. 34(2).- 2011.- P. 205–214.
[20] Zikiryaev Sh.Kh. Filtration problems of heterogeneous liquids taking into account adsorption and heterogeneity of pore space filling: Abstract of Cand. of Phys. and Mathematics. – Samarkand, 2012. – 42 p.
[21] Molokovich Yu. M. Nonequilibrium filtration and its application in oil field practice. - M. - Izhevsk: Research Center "Regular and Chaotic Dynamics"; Institute of Computer Research, 2006. - P. 214.
[22] Nikiforov A. I., Sadovnikov R. V. Solution of problems of flooding of oil formations using polymer-dispersed systems on a multiprocessor computing system. Institute of Mechanics and Mechanical Engineering of the Kazan Scientific Center of the Russian Academy of Sciences, 2016. Vol. 28, No. 8. - P. 112-126.
[23] Zhuraev Sh. Sh. Evaluation of the effectiveness of local raw materials for reducing the filtration process in soil structures: Abstract of PhD in technical sciences. Tashkent, 2018. - 40 p.
[24] Sulaymonov F. U. Hydrodynamic problems of substance transfer in an aggregated porous medium: Diss. PhD in Phys. and Mathematics. – Samarkand, 2019. – 117 p. with appendix.
[25] Burnashev V. F. Numerical analysis of hydrodynamic models of filtration of multiphase multicomponent fluids in porous media: Diss. Dr. of Phys. and Mathematics. – Samarkand, 2019. - 212 p.
[26] Makhmudov Zh. M. Improvement and analysis of mathematical models of filtration of heterogeneous fluids in porous media: Diss. Dr. of Phys. and Mathematics. Samarkand, 2019. – 216 p. with appendix.
[27] Sylvian J. Pirson. Oil reservoir engineering. – McGraw – Hill Book Co. Inc, New – York – Toronto – London, 1958.
[28] Nigmatulin R. I. Dynamics of multiphase media. – Moscow: Nauka, 1987. Part 1. 464 p., Part 2. 360 p.
[29] Samarskii Vabishchevich. Konstantinov N. M., Petrov N. M., Petrov N. A., Vysotskii L. I. Hydraulics, hydrology, hydrometry / Textbook for universities: in 2 parts. Part II. Special issues - Moscow: Higher. school, 1987 - 431 p.
[2] Abutaliev F.B. [and others]. Application of numerical methods and computers in hydrogeology. Tashkent, “Fan”, 1976.
[3] Belman R., Kalaba R. Quasi-linearization and nonlinear boundary value problems. Mir, Moscow, 1968.
[4] Khuzhayarov B.Kh. Macroscopic simulation of relaxation mass transport in a porous medium // Fluid Dynamics. Vol. 29, No. 5. - 2004.- P. 693-701.
[5] Suzuki A., Horne R.N., Makita H., Niibori Y., Fomin S.A., Chugunov V.A., Hashida T. Development of fractional derivative-based mass and heat transport model // Proceedings, Thirty-Eighth Workshop on Geothermal Reservoir Engineering Stanford University, Stanford, California, February 11-13. 2013. - SGP−TR−198.
[6] Khuzhayorov B.Kh., Makhmudov J.M. Mathematical models of filtration of heterogeneous liquids in porous media. - Tashkent: Fan, 2014. - 280 p.
[7] Khuzhayorov B., Dzhiyanov T., Khaydarov O. Double-Relaxation Solute Transport in Porous Media // International Journal of Advanced Research in Science, Engineering and Technology. Vol. 5, Issue 1, January 2018. – P. 5094-5100.
[8] Fomin S.A., Chugunov V.A. and Hashida T. Non-Fickian mass transport in fractured porous media // Advances in Water Resources. 34(2).- 2011.- P. 205–214.
[9] Molokovich Yu.M. Nonequilibrium filtration and its application in oil field practice. – M. – Izhevsk: Research Center “Regular and Chaotic Dynamics”; Institute of Computer Research, 2006. – P. 214.
[10] Nikiforov A.I., Sadovnikov R.V. Solution of oil reservoir flooding problems using polymer-dispersed systems on a multiprocessor computing system. Institute of Mechanics and Mechanical Engineering, Kazan Scientific Center of the Russian Academy of Sciences, 2016. Vol. 28, No. 8. – P. 112-126.
[11] Nazirova E.Sh. Mathematical models, numerical methods and software packages for studying the filtration processes of liquids and gases: Diss. Doctor of Engineering Sciences. – Tashkent, 2019. – 227 p.
[12] Samarskii A.A. Introduction to the theory of difference schemes. Moscow: “Nauka”, 1952.
[13] Saidullaev U.Zh. Compilation and numerical analysis of hydrodynamic models of filtration and suspension filtration: Diss. PhD… physical and mathematical sciences. Tashkent, 2019. – 112 p. with appendix.
[14] Makhmudov Zh.M. Improvement and analysis of mathematical models of filtration of heterogeneous liquids in porous media: Diss… Dr. of Phys. and Mathematics. Samarkand, 2019. – 216 p. with appendix
[15] Lykov AV, Mikhailov Yu.A. Theory of heat and mass transfer. M.-L.: Gosenergoizdat, 1963. – 536 p.
[16] Akilov Zh.A., Zhiyanov T.O. Double relaxation transfer of matter in a porous medium // Uzbek journal “Problems of Mechanics”, 2013, No. 2. – P.16-18.
[17] Khuzhayorov B., Dzhiyanov T., Khaydarov O. Double-Relaxation Solute Transport in Porous Media // International Journal of Advanced Research in Science, Engineering and Technology. Vol. 5, Issue 1, January 2018. – P. 5094-5100.
[18] Dzhiyanov T.O. Development and analysis of models of anomalous filtration of heterogeneous liquids in porous media: Diss...PhD in Physics and Mathematics. Tashkent, 2019. – 115 p. with appendix.
[19] Fomin S.A., Chugunov V.A. and Hashida T. Non-Fickian mass transport in fractured porous media // Advances in Water Resources. 34(2).- 2011.- P. 205–214.
[20] Zikiryaev Sh.Kh. Filtration problems of heterogeneous liquids taking into account adsorption and heterogeneity of pore space filling: Abstract of Cand. of Phys. and Mathematics. – Samarkand, 2012. – 42 p.
[21] Molokovich Yu. M. Nonequilibrium filtration and its application in oil field practice. - M. - Izhevsk: Research Center "Regular and Chaotic Dynamics"; Institute of Computer Research, 2006. - P. 214.
[22] Nikiforov A. I., Sadovnikov R. V. Solution of problems of flooding of oil formations using polymer-dispersed systems on a multiprocessor computing system. Institute of Mechanics and Mechanical Engineering of the Kazan Scientific Center of the Russian Academy of Sciences, 2016. Vol. 28, No. 8. - P. 112-126.
[23] Zhuraev Sh. Sh. Evaluation of the effectiveness of local raw materials for reducing the filtration process in soil structures: Abstract of PhD in technical sciences. Tashkent, 2018. - 40 p.
[24] Sulaymonov F. U. Hydrodynamic problems of substance transfer in an aggregated porous medium: Diss. PhD in Phys. and Mathematics. – Samarkand, 2019. – 117 p. with appendix.
[25] Burnashev V. F. Numerical analysis of hydrodynamic models of filtration of multiphase multicomponent fluids in porous media: Diss. Dr. of Phys. and Mathematics. – Samarkand, 2019. - 212 p.
[26] Makhmudov Zh. M. Improvement and analysis of mathematical models of filtration of heterogeneous fluids in porous media: Diss. Dr. of Phys. and Mathematics. Samarkand, 2019. – 216 p. with appendix.
[27] Sylvian J. Pirson. Oil reservoir engineering. – McGraw – Hill Book Co. Inc, New – York – Toronto – London, 1958.
[28] Nigmatulin R. I. Dynamics of multiphase media. – Moscow: Nauka, 1987. Part 1. 464 p., Part 2. 360 p.
[29] Samarskii Vabishchevich. Konstantinov N. M., Petrov N. M., Petrov N. A., Vysotskii L. I. Hydraulics, hydrology, hydrometry / Textbook for universities: in 2 parts. Part II. Special issues - Moscow: Higher. school, 1987 - 431 p.
Опубликован
2025-03-31
Как цитировать
Shukurova, M., Abdurakhmanova , E., Usarkulova, F., & Botirov, M. (2025). Mathematical modeling of transient groundwater filtration in multilayered media with a low-permeability barrier. Международный научный журнал «Инженер», 3(1), 59-63. https://doi.org/10.56143/3030-3893-2025-1-59-63
Раздел
Управление и системная инженерия
