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dc.contributor.author | Kacimov A.R. | |
dc.contributor.author | Obnosov Y.V. | |
dc.contributor.author | Šimůnek J. | |
dc.date.accessioned | 2021-02-25T20:34:58Z | |
dc.date.available | 2021-02-25T20:34:58Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0309-1708 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/161848 | |
dc.description.abstract | © 2020 Elsevier Ltd 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. | |
dc.relation.ispartofseries | Advances in Water Resources | |
dc.subject | Analytic and HYDRUS solutions for Darcian 2-D and axisymmetric flows in saturated and unsaturated soils towards drainage ditches and topographic depressions | |
dc.subject | Boundary value problems involving seepage faces on Earth and Mars | |
dc.subject | Complex potential and conformal mappings | |
dc.subject | Evaporation and seepage exfiltration from shallow groundwater | |
dc.subject | Isobars, isotachs, constant piezometric head, and Kirchhoff potential lines | |
dc.subject | Method of images with sinks and sources for the Laplace equation and ADE | |
dc.title | Seepage to ditches and topographic depressions in saturated and unsaturated soils | |
dc.type | Article | |
dc.relation.ispartofseries-volume | 145 | |
dc.collection | Публикации сотрудников КФУ | |
dc.source.id | SCOPUS03091708-2020-145-SID85089935842 |