KFU. Card publication. Seepage to Ditches and Topographic Depressions in Saturated and Unsaturated Soils

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SEEPAGE TO DITCHES AND TOPOGRAPHIC DEPRESSIONS IN SATURATED AND UNSATURATED SOILS

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Šimůnek Jirka , author

Bibliographic description in the original language

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. DOI: 10.1016/j.advwatres.2020.103732

Annotation

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

Keywords

Analytic and HYDRUS solutions to saturated-unsaturated Darcian 2-D and axisymmetric flow 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 in the Laplace equation and ADE, Boundary value problems involving seepage face on Earth and Mars,Isobars, isotachs, constant piezometric head, and Kirchhoff potential lines

The name of the journal

ADV WATER RESOUR

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/159370/ADWR_2020__Kacimov_Obnosov_Simunek.pdf?sequence=1&isAllowed=y

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=238010&p_lang=2

Resource files

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ADWR_2020__Kacimov_Obnosov_Simunek.pdf	1,02	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.contributor.author	Kacimov Anvar Rashidovich	ru_RU
dc.contributor.author	Šimůnek Jirka	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. DOI: 10.1016/j.advwatres.2020.103732	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=238010&p_lang=2	ru_RU
dc.description.abstract	ADV WATER RESOUR	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 to saturated-unsaturated Darcian 2-D and axisymmetric flow towards drainage ditches and topographic depressions	ru_RU
dc.subject	Evaporation and seepage exfiltration from shallow groundwater; Complex potential and conformal mappings	ru_RU
dc.subject	Method of images with sinks and sources in the Laplace equation and ADE	ru_RU
dc.subject	Boundary value problems involving seepage face on Earth and Mars	ru_RU
dc.subject	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	Articles in international journals and collections	ru_RU