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 |
|