Казанский (Приволжский) федеральный университет, КФУ
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2020
  • Обносов Юрий Викторович, автор
  • Библиографическое описание на языке оригинала A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Seepage to Ditches and Topographic Depressions in Saturated and Unsaturated Soils. Advances in Water Resources (Elsevier), 2020, Volume 145, article id. 103732. DOI: 10.1016/j.advwatres.2020.103732 (IF=4.016, Q1)
    Аннотация An isobar generated by a line or point sink draining a confined semi-infinite aquifer is an analytic curve, to which a steady 2-D plane or axisymmetric Darcian flow converges. This sink may represent an excavation, ditch, or wadi on Earth, or a channel on Mars. The strength of the sink controls the form of the ditch depression: for 2-D flow, the shape of the isobar varies from a zero-depth channel to a semicircle; for axisymmetric flow, depressions as flat as a disk or as deep as a hemisphere are reconstructed. In the model of axisymmetric flow, a fictitious J.R. Philip's point sink is mirrored by an infinite array of sinks and sources placed along a vertical line perpendicular to a horizontal water table. A topographic depression is kept at constant capillary pressure (water content, Kirchhoff potential). None of these singularities belongs to the real flow domain, evaporating unsaturated Gardnerian soil. Saturated flow towards a triangular, empty or partially-filled ditch is tackled by conformal mappings and the solution of Riemann's problem in a reference plane. The obtained seepage flow rate is used as a right-hand side in an ODE of a Cauchy problem, the solution of which gives the draw-up curves, i.e., the rise of the water level in an initially empty trench. HYDRUS-2D computations for flows in saturated and unsaturated soils match well the analytical solutions. The modeling results are applied to assessments of real hydrological fluxes on Earth and paleo-reconstructions of Martian hydrology-geomorphology.
    Ключевые слова Analytic and HYDRUS solutions for Darcian 2-D and axisymmetric flows in saturated and unsaturated soils towards drainage ditches and topographic depressions; Evaporation and seepage exfiltration from shallow groundwater; Complex potential and conformal mappings; Method of images with sinks and sources for the Laplace equation and ADE; Boundary value problems involving seepage faces on Earth and Mars; Isobars, isotachs, constant piezometric head, and Kirchhoff potential lines.
    Название журнала Advances in Water Resources
    URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089935842&doi=10.1016%2fj.advwatres.2020.103732&partnerID=40&md5=1871c4a5fb0b3eb682ae89e573526d7c
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