Форма представления | Статьи в зарубежных журналах и сборниках |
Год публикации | 2020 |
Язык | английский |
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Обносов Юрий Викторович, автор
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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.
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Название журнала |
Advances in Water Resources
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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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https://repository.kpfu.ru/?p_id=239773 |
Полная запись метаданных |
Поле DC |
Значение |
Язык |
dc.contributor.author |
Обносов Юрий Викторович |
ru_RU |
dc.date.accessioned |
2020-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2020-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2020 |
ru_RU |
dc.identifier.citation |
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) |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/?p_id=239773 |
ru_RU |
dc.description.abstract |
Advances in Water Resources |
ru_RU |
dc.description.abstract |
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. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
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 |
ru_RU |
dc.subject |
isotachs |
ru_RU |
dc.subject |
constant piezometric head |
ru_RU |
dc.subject |
and Kirchhoff potential lines.
|
ru_RU |
dc.title |
Seepage to ditches and topographic depressions in saturated and unsaturated soils |
ru_RU |
dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|