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Evaporation-Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: The Vedernikov–Bouwer Model Revisited

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dc.contributor.author Kacimov A.
dc.contributor.author Obnosov Y.
dc.contributor.author Or D.
dc.date.accessioned 2020-01-15T21:17:09Z
dc.date.available 2020-01-15T21:17:09Z
dc.date.issued 2019
dc.identifier.issn 0169-3913
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155519
dc.description.abstract © 2019, Springer Nature B.V. Evaporation-driven wicking of soil water through porous domains with contrasting hydraulic properties is studied analytically by conformal mappings and compared to numerical solutions. Initially, the connected rectangular domains are fully saturated. The first rectangle, Gp, is comprised of a coarse-textured porous medium with large permeability and low capillary forces. Evaporation-induced capillary flow pulls water horizontally across the domains to the surface of fine-textured rectangular domain, Gz, through an interfacial hydraulic exchange region that shrinks with time. The flow field in Gz is 2-D and is analytically expressed by the Vedernikov–Bouwer model that assumes a constant hydraulic conductivity for pressure heads higher than the air-entry value. The rate of 1-D drop of the phreatic surface in Gp is proportional to the evaporation rate (decreasing with time) from the Gz surface. The complex potential domain Gw “shrinks” with time, and at any time instance, it is conformally mapped onto Gz via two auxiliary planes using the Schwarz–Christoffel and Mobius transformations. The resulting Cauchy problem for an integro-differential equation with respect to an affix of the conformal mapping is solved using numerical algebra routines. A similar capillary coupled flow problem was numerically simulated using HYDRUS2D considering 2-D flow in both Gp and Gz. New insights into process dynamics are gained from a solution of an auxiliary optimization for a vertical imbibition in a column brought in contact with a water table where particle size (linking capillarity and permeability) is used as a control variable and counter-gravity front propagation dynamics as criteria.
dc.relation.ispartofseries Transport in Porous Media
dc.subject 2-D potential flow
dc.subject Complex potential
dc.subject Counter-gravity imbibition
dc.subject HYDRUS simulations
dc.subject Stages of evaporation
dc.title Evaporation-Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: The Vedernikov–Bouwer Model Revisited
dc.type Article
dc.relation.ispartofseries-issue 1
dc.relation.ispartofseries-volume 129
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 231
dc.source.id SCOPUS01693913-2019-129-1-SID85068786282

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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