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Water Resources Management

, Volume 9, Issue 1, pp 27–37 | Cite as

An analytical solution for water-table fluctuation in a finite aquifer due to transient recharge from a strip basin

  • S. N. Rai
  • R. N. Singh
Article

Abstract

Two cases of water-table fluctuation in a finite aquifer in response to transient recharge from a strip basin are investigated. In the first case the aquifer is bounded by open water-bodies, whereas in second one the aquifer is bounded by impermeable boundaries on both sides. Analytical solutions are presented to predict the transient position of the water-table. The solutions are obtained by using finite Fourier sine and cosine transforms.

Key words

Groundwater flow transient recharge strip basin analytical solution 

Notations

A

width of the aquifer [L]

e

specific yield

h

variable water-table height [L]

h0

initial water-table height [L]

\(\overline h \)

weighted mean of the depth of saturation [L]

K

hydraulic conductivity [LT−1]

m,n

integers

P1 +P0

initial rate of transient recharge [LT−1]

P1

final rate of transient recharge [LT−1]

P

constant rate of recharge [LT−1]

x1

distance of left boundary of the strip basin [L]

x2

distance of right boundary of the strip basin [L]

t

time of observation [T]

α

decay constant [T−1]

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References

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • S. N. Rai
    • 1
  • R. N. Singh
    • 1
  1. 1.National Geophysical Research InstituteHyderabadIndia

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