Казанский (Приволжский) федеральный университет, КФУ
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ANALYTICAL AND HYDRUS SOLUTIONS FOR EXFILTRATION THROUGH INCLINED SEEPAGE FACES
Форма представленияСтатьи в российских журналах и сборниках
Год публикации2023
Языканглийский
  • Обносов Юрий Викторович, автор
  • Kacimov Anvar Rashidovich, автор
  • Библиографическое описание на языке оригинала A. R. Kacimov, Yu. V. Obnosov. Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces. Advances in Water Resources (Elsevier) 2023, https://doi.org/10.1016/j.advwatres.2023.104517 (WoS IF=5.361, Q1)
    Аннотация Steady, phreatic flows in wedge-shaped aquifers subtended by a tilted bedrock and discharged through a hillslope seepage face are studied by the hydrodynamic (2-D), hydraulic (1-D) analytical and FEM numerical models. The curvilinear triangle in the hodograph domain is conformally mapped onto a reference half-plane where the Hilbert problem is solved for two holomorphic functions. Free boundaries and sizes of seepage face segments are found for given flow rates of the incident flows seeping downhills. The approximate (Dupuit-Forchheimer ) water table is conjugated with a saturated triangle where the exact 1-D solution gives a constant Darcian velocity as a function of the angles of the soil wedge. HYDRUS-2D model gives the distributions of the pressure head, volumetric moisture content, isotachs, vector-fields of Darcian velocity and other characteristics of saturated-unsaturated seepage. Applications to stability of exfiltrating zones near tailwaters of earth dams are discussed.
    Ключевые слова Phreatic seepage in hillslope, conformal mapping, Hilbert?s boundary value problem, Dupuit-Forchheimer? fragment, seepage-face bounded triangle, HYDRUS2D flow over a tilted bedrock
    Название журнала Advances in Water Resources
    URL https://doi.org/10.1016/j.advwatres.2023.104517
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