Форма представления | Статьи в зарубежных журналах и сборниках |

Год публикации | 2020 |

Язык | английский |

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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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