KFU. Card publication. Evaporation Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: the Vedernokov-Bouwer Model Revisited

- RUS
- 中文
- ES

EVAPORATION INDUCED CAPILLARY SIPHONING THROUGH HYDRAULICALLY CONNECTED POROUS DOMAINS: THE VEDERNOKOV-BOUWER MODEL REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2019

��

��

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Or Dani , author

Bibliographic description in the original language

A.R. Kacimov, Yu.V.Obnosov, D. Or. Evaporation Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: the Vedernokov-Bouwer Model Revisited. Transport in Porous Media (Springer), 2019, DOI: 10.1007/s11242-019-01285-z, accepted, TIPM-D-18-00549R1 (IF=2.205, Q2)

Annotation

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.

Keywords

Counter-gravity imbibition, Stages of evaporation, 2-D potential flow, Complex potential, HYDRUS simulations

The name of the journal

Transport in Porous Media

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/150726/F_TiPM_2019.pdf?sequence=1&isAllowed=y

URL

http://10.1007/s11242-019-01285-z

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

https://repository.kpfu.ru/eng/?p_id=200192&p_lang=2

Resource files

File name	Size (MB)	Format
F_TiPM_2019.pdf	0,73	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	Or Dani	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	A.R. Kacimov, Yu.V.Obnosov, D. Or. Evaporation Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: the Vedernokov-Bouwer Model Revisited. Transport in Porous Media (Springer), 2019, DOI: 10.1007/s11242-019-01285-z, accepted, TIPM-D-18-00549R1 (IF=2.205, Q2)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=200192&p_lang=2	ru_RU
dc.description.abstract	Transport in Porous Media	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Counter-gravity imbibition	ru_RU
dc.subject	Stages of evaporation	ru_RU
dc.subject	2-D potential flow	ru_RU
dc.subject	Complex potential	ru_RU
dc.subject	HYDRUS simulations	ru_RU
dc.title	Evaporation Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: the Vedernokov-Bouwer Model Revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU