Study of mathematical modeling of groundwater filtration processes in multilayer heterogeneous porous media
Article Sidebar
Main Article Content
Abstract
Modeling of nonlinear filtration processes in multilayer heterogeneous porous media is a complex area that combines various mathematical and physical principles to understand the dynamics of fluid in porous structures. The complexity of these processes is affected by the heterogeneity of the medium, the nonlinear nature of the fluid flow and the interaction between different layers of porous materials. The purpose of this synthesis is to study modern methodologies and results in this area based on a number of scientific articles that contribute to the understanding of these phenomena.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Dassargues A. Hydrogeology. First Edition. | Boca Raton, Florida : Taylor & Francis, A CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic divi-sion of T&F Informa plc, [2019]: CRC Press, 2018.
Suo S., Liu M., Gan Y. Modelling Imbibition Processes in Heterogeneous Porous Media // Transp. Porous Media. 2019. Vol. 126, № 3. P. 615–631.
C. Zhang, W. Zhang & Y.L. A chaotic dynamical approach to simulate heterogeneous groundwater flow movement // 2017 3rd International Conference on Computational Systems and Communica-tions (ICCSC 2017). Clausius Scientific Press Inc., 2017.
Michuta O.R., Martyniuk P.M. Nonlinear Evolutionary Problem of Filtration Consolidation With the Non-Classical Conjugation Condition // J. Optim. Differ. Equations Their Appl. 2022. Vol. 30, № 1. P. 71.
Kayumov S. et al. A multiparameter mathematical model for the problem of nonlinear filtration of fluids in two-layer media // J. Phys. Conf. Ser. 2024. Vol. 2697, № 1. P. 012042.
Arbabi S., Sahimi M. The Transition from Darcy to Nonlinear Flow in Heterogeneous Porous Media: I—Single-Phase Flow // Transp. Porous Media. 2024. Vol. 151, № 4. P. 795–812.
Ku C.-Y. et al. Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method // Appl. Sci. 2021. Vol. 11, № 8. P. 3421.
Natalia I., Petro M., Olga M. Mathematical model of filtration under conditions of variable porosity taking into account biocolmatage // Model. Control Inf. Technol. 2020. № 4. P. 43–46.
Abubakar A.D. et al. Mathematical Modeling of Effect of Pumping Rate on Contaminant Transport in Riverbank Filtration System // J. Appl. Sci. Environ. Manag. 2021. Vol. 25, № 2. P. 199–208.
Michuta O. et al. A finite-element study of elastic filtration in soils with thin inclusions // Eastern-European J. Enterp. Technol. 2020. Vol. 5, № 5 (107). P. 41–48.
Beneš M., Pažanin I. Homogenization of degenerate coupled transport processes in porous media with memory terms // Math. Methods Appl. Sci. 2019. Vol. 42, № 18. P. 6227–6258.
Ravshanov N. et al. Numerical study of fluid filtration in three-layer interacting pressure porous formations // E3S Web Conf. / ed. Bazarov D. 2021. Vol. 264. P. 01018.
Simpson M.J. Calculating Groundwater Response Times for Flow in Heterogeneous Porous Media // Groundwater. 2018. Vol. 56, № 2. P. 337–342.
Равшанов Н. et al. Математическое моделирование изменения уровня грунтовых вод в двух-слойных средах // J. Innov. RESEACH Econ. 2022. Vol. 1, № 1.
Djumanov J.X. et al. Development Of A Hydrogeological Simulation Model Of Geofiltration Pro-cesses In Regional Aquifers Of Fergana Valley // 2019 International Conference on Information Science and Communications Technologies (ICISCT). IEEE, 2019. P. 1–5.
Cayar M., Kavvas M.L. Ensemble average and ensemble variance behavior of unsteady, one-dimensional groundwater flow in unconfined, heterogeneous aquifers: an exact second-order model // Stoch. Environ. Res. Risk Assess. 2009. Vol. 23, № 7. P. 947–956.