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Unconfined AquifersUnconfined Aquifers
Unconfined aquiferUnconfined aquifer --Steady State & Non Steady StateSteady State & Non Steady State--
q=2 Л r kh dh/dr
r/dr= (2 Л k/q) h dh
Integrating the above equation between limits r1 and r2 and h1 and h2
2 Л k/q) hdh
= ln (r2/r1)= (2Лk/2q)(h2^2-h1^2)
= ln (r2/r1) = (Лk/q)(h2^2-h1^2)
q= (Лk)(h2^2-h1^2)ln (r2/r1)
H
Theim equation for Steady StateTheim equation for Steady State
Unconfined aquiferUnconfined aquifer--Steady StateSteady State-- Theim Theim equationequation
•The Theis equation has
been derived assuming that
the water is released
instantaneously from
storage and the aquifer
thickness does not vary with
pumping
•But in unconfined
conditions both H will vary
and also water is released
slowly Called delayed yield.
Unconfined aquiferUnconfined aquifer--NonNon--Steady StateSteady State--
Boulton equationBoulton equation
t in days
Boulton initial curveBoulton initial curve Boulton latter partBoulton latter part
First Part
III rd part
SA= Initial Sp.y
Sy=Final Sp.y
Twt is the time where delayed yield does not effect drawdown and behave as unconfined aquifer
1/ =Delayed
Index
Minimum Pumping hours (twt)
Aquifer
material
Minimum
Pumping time
(twt) hrs
Medium to
coars sand
4
Fine sand 30
Silt and clay 170
Delayed index (1/Alpha)-
minutes
Corse sand 10
Medium sand 60
Find sand 200
Very find Sand 1000
Silt 2000