Unsteadystate
flow equations
1)
Neuman’s solution for average drawdown in observation well and
drawdown in piezometer in anisotropic aquifer; pumping well and
observation well being fully penetrating or partially
penetrating
The code of DELAY2
program is used (Neuman, 1986). For explanations see:
Neuman S.P.
Theory of flow in
unconfined aquifers considering delayed gravity response // Water
Resources Research. 1972. Vol. 8, N 4.
P. 1031–1045.
Neuman S.P.
Supplementary
comments on «Theory of flow in unconfined aquifers considering
delayed gravity response» // Water Resources Research. 1973.
Vol. 9, N 4. P. 1102–1103.
Neuman S.P.
Effect of partial
penetration on flow in unconfined aquifers considering delayed
gravity response // Water Resources Research. 1974. Vol. 10,
N 2. P. 303–312.
Neuman S.P.
Analysis of pumping
test data from anisotropic unconfined aquifers // Water Resources
Research. 1975. Vol. 11, N 2. P. 329–345.
Neuman S.P.
Perspective on
«Delayed yield» // Water Resources Research. 1979. Vol. 15,
N 4. P. 899–908.
2)
Boulton’s solutions for average drawdown and water table drawdown
in fully penetrating well in isotropic aquifer
Two related
Boulton’s solutions being used, average drawdown is written
as
where
Empirical
constant (1/d) is
Water table
drawdown equation reads
3)
Moench’s solution for average drawdown in observation well and
drawdown in piezometer in anisotropic aquifer; pumping well and
observation well being fully penetrating or partially
penetrating
The code of WTAQ2
program is used (Moench, 1995).See:
Moench A.F.
Computation of type
curves for flow to partially penetrating wells in watertable
aquifers // Ground Water. 1993. Vol. 31, N 6.
P. 966–971.
Moench A.F.
Flow to a well in a
watertable aquifer: an improved Laplace transform solution //
Ground Water. 1996. Vol. 34, N 4.
P. 593–596.
4)
Moench’s solution for average drawdown in observation well and
drawdown in piezometer in anisotropic aquifer with account
for
pumping well storage capacity, piezometer storage capacity, skin
effect in the pumping well and shape factor of the
piezometer
The code of WTAQ3
program is used (Moench, 1997).See:
Moench A.F.
Flow to a well of
finite diameter in a homogeneous, anisotropic water table aquifer
// Water Resources Research. 1997. Vol. 33, N 6.
P. 1397–1407.
5)
Moench’s solution for drawdown in pumping well in anisotropic
aquifer with account for pumping well storage capacity and skin
effect
The code of WTAQ3
program is used (Moench, 1997).See:
Moench A.F.
Flow to a well of
finite diameter in a homogeneous, anisotropic water table aquifer
// Water Resources Research. 1997. Vol. 33, N 6.
P. 1397–1407.
6)
Simplified solution for water table drawdown in fully penetrating
well in isotropic aquifer
Equation for
quasisteadystate flow period:
7)
Simplified solution for water table drawdown in fully penetrating
well in isotropic leaky aquifer
8)
MoenchPrickett solution for confinedunconfined aquifer
Methods of analysis and parameters being estimated
Plot

Method

Parameters

Comments


matching




matching


matching by
separate points
1)


matching


matching by
separate points


matching




matching




matching




matching




matching




matching




straight
line



matching




straight
line



matching




straight
line



matching




type line



matching




type line



matching



1) when screens
of partially penetrating wells have different elevations.
Parameters
matched for the case of isotropic aquifer are:
k,
S,
Sy.
Parameters
matched in simplified solution for water table drawdown are:
k,
a (nonleaky
aquifer) or
k,
a,
B (leaky
aquifer).
Parameters
matched for confinedunconfined aquifer:
T,
S,
Sy.
