Steady-state water-table depressions caused by evaporation in lands overlying a water-bearing substratum

A. R. Kacimov, E. G. Youngs

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

An explicit closed-form analytical solution giving the water-table depression is obtained for the steady-state problem of seepage to a water-bearing substratum from two reservoirs separated by a strip of land over which water loss by evaporation occurs at a constant rate. Two hydrodynamic situations can occur. In the first, there is only drainage into the substratum and all evaporating water originates from the reservoirs. In the second, the substratum, while accepting water draining from the reservoirs, also supplies some water to the evaporating surface. The method of boundary-value problems is used through the conformal mapping of a strip in the Zhukovskii plane to an auxiliary half-plane and reconstruction of the complex physical coordinate by the Signorini formula. The two hydrodynamic regimes are demarcated in the solution with the shape of the water table obtained in a closed form. The results of calculations show the effect of the evaporation rate, the hydraulic conductivity of the soil, the pressure in the water-bearing substratum, the distance between reservoirs, and the depth to the substratum. The method of boundary-value problems is also used to obtain an analytical solution for the water-table depression caused by evaporation from a strip in an infinite extent of land above a water-bearing substratum under pressure. Journal of Hydrologic Engineering

Original languageEnglish
Pages (from-to)295-301
Number of pages7
JournalJournal of Hydrologic Engineering
Volume10
Issue number4
DOIs
Publication statusPublished - Jul 2005

Fingerprint

Bearings (structural)
water table
Evaporation
evaporation
Water
water
hydrodynamics
Boundary value problems
Hydrodynamics
seepage
land
hydraulic conductivity
Conformal mapping
water supply
Hydraulic conductivity
Seepage
drainage
Water supply
engineering
Drainage

Keywords

  • Boundary values
  • Conformal mapping
  • Evaporation
  • Seepage
  • Water table

ASJC Scopus subject areas

  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology
  • Civil and Structural Engineering

Cite this

Steady-state water-table depressions caused by evaporation in lands overlying a water-bearing substratum. / Kacimov, A. R.; Youngs, E. G.

In: Journal of Hydrologic Engineering, Vol. 10, No. 4, 07.2005, p. 295-301.

Research output: Contribution to journalArticle

@article{a328dcaeb0cc45e78754e9c77bfafce2,
title = "Steady-state water-table depressions caused by evaporation in lands overlying a water-bearing substratum",
abstract = "An explicit closed-form analytical solution giving the water-table depression is obtained for the steady-state problem of seepage to a water-bearing substratum from two reservoirs separated by a strip of land over which water loss by evaporation occurs at a constant rate. Two hydrodynamic situations can occur. In the first, there is only drainage into the substratum and all evaporating water originates from the reservoirs. In the second, the substratum, while accepting water draining from the reservoirs, also supplies some water to the evaporating surface. The method of boundary-value problems is used through the conformal mapping of a strip in the Zhukovskii plane to an auxiliary half-plane and reconstruction of the complex physical coordinate by the Signorini formula. The two hydrodynamic regimes are demarcated in the solution with the shape of the water table obtained in a closed form. The results of calculations show the effect of the evaporation rate, the hydraulic conductivity of the soil, the pressure in the water-bearing substratum, the distance between reservoirs, and the depth to the substratum. The method of boundary-value problems is also used to obtain an analytical solution for the water-table depression caused by evaporation from a strip in an infinite extent of land above a water-bearing substratum under pressure. Journal of Hydrologic Engineering",
keywords = "Boundary values, Conformal mapping, Evaporation, Seepage, Water table",
author = "Kacimov, {A. R.} and Youngs, {E. G.}",
year = "2005",
month = "7",
doi = "10.1061/(ASCE)1084-0699(2005)10:4(295)",
language = "English",
volume = "10",
pages = "295--301",
journal = "Journal of Hydrologic Engineering - ASCE",
issn = "1084-0699",
publisher = "American Society of Civil Engineers (ASCE)",
number = "4",

}

TY - JOUR

T1 - Steady-state water-table depressions caused by evaporation in lands overlying a water-bearing substratum

AU - Kacimov, A. R.

AU - Youngs, E. G.

PY - 2005/7

Y1 - 2005/7

N2 - An explicit closed-form analytical solution giving the water-table depression is obtained for the steady-state problem of seepage to a water-bearing substratum from two reservoirs separated by a strip of land over which water loss by evaporation occurs at a constant rate. Two hydrodynamic situations can occur. In the first, there is only drainage into the substratum and all evaporating water originates from the reservoirs. In the second, the substratum, while accepting water draining from the reservoirs, also supplies some water to the evaporating surface. The method of boundary-value problems is used through the conformal mapping of a strip in the Zhukovskii plane to an auxiliary half-plane and reconstruction of the complex physical coordinate by the Signorini formula. The two hydrodynamic regimes are demarcated in the solution with the shape of the water table obtained in a closed form. The results of calculations show the effect of the evaporation rate, the hydraulic conductivity of the soil, the pressure in the water-bearing substratum, the distance between reservoirs, and the depth to the substratum. The method of boundary-value problems is also used to obtain an analytical solution for the water-table depression caused by evaporation from a strip in an infinite extent of land above a water-bearing substratum under pressure. Journal of Hydrologic Engineering

AB - An explicit closed-form analytical solution giving the water-table depression is obtained for the steady-state problem of seepage to a water-bearing substratum from two reservoirs separated by a strip of land over which water loss by evaporation occurs at a constant rate. Two hydrodynamic situations can occur. In the first, there is only drainage into the substratum and all evaporating water originates from the reservoirs. In the second, the substratum, while accepting water draining from the reservoirs, also supplies some water to the evaporating surface. The method of boundary-value problems is used through the conformal mapping of a strip in the Zhukovskii plane to an auxiliary half-plane and reconstruction of the complex physical coordinate by the Signorini formula. The two hydrodynamic regimes are demarcated in the solution with the shape of the water table obtained in a closed form. The results of calculations show the effect of the evaporation rate, the hydraulic conductivity of the soil, the pressure in the water-bearing substratum, the distance between reservoirs, and the depth to the substratum. The method of boundary-value problems is also used to obtain an analytical solution for the water-table depression caused by evaporation from a strip in an infinite extent of land above a water-bearing substratum under pressure. Journal of Hydrologic Engineering

KW - Boundary values

KW - Conformal mapping

KW - Evaporation

KW - Seepage

KW - Water table

UR - http://www.scopus.com/inward/record.url?scp=23044432270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044432270&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)1084-0699(2005)10:4(295)

DO - 10.1061/(ASCE)1084-0699(2005)10:4(295)

M3 - Article

AN - SCOPUS:23044432270

VL - 10

SP - 295

EP - 301

JO - Journal of Hydrologic Engineering - ASCE

JF - Journal of Hydrologic Engineering - ASCE

SN - 1084-0699

IS - 4

ER -