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Notation
Symbol |
Explanation |
Dimension |
A |
Y-intercept of straight line (for straight-line method) |
|
a |
hydraulic diffusivity: where m – aquifer thickness; hydraulic diffusivity for unconfined aquifer: where m – initial water saturated thickness of unconfined aquifer |
m2/d |
az |
hydraulic diffusivity in vertical direction |
m2/d |
B |
leakage factor |
m |
C |
slope of the straight line (for straight-line method) |
|
D |
vertical distance between the axes of the observation plot and the type curve plot |
|
d |
distance between screen middle points in pumping and observation wells |
m |
E |
horizontal distance between axes of observation plot and type curve plot |
|
f1, f2 |
drawdown function values in the first and second observation wells (for bisecting line method) |
|
k |
hydraulic conductivity |
m/d |
kr |
hydraulic conductivity in horizontal direction |
m/d |
kz |
hydraulic conductivity in vertical direction |
m/d |
L |
strip aquifer width |
m |
Lp |
horizontal distance from observation well to the boundary |
m |
Lw |
horizontal distance from pumping well to the boundary |
m |
lp |
observation well screen length |
m |
lw |
pumping well screen length |
m |
M(u, β) |
special function |
|
m |
aquifer thickness or initial water saturated thickness of unconfined aquifer (i.e. distance from aquifer bottom to water table) |
m |
N |
number of pumping wells |
|
n |
number of reflections from one boundary |
|
number of pumping rate steps in the i-th well at time tij |
|
|
Q |
pumping rate in a well |
m3/d |
value of pumping rate at j-th step in the i-th pumping well |
m3/d |
|
r |
horizontal distance between pumping and observation wells |
m |
radius of pumping well casing |
m |
|
rw |
radius of pumping well |
m |
S |
storage coefficient |
Dimensionless |
Ss |
specific storage |
1/m |
Sy |
specific yield |
Dimensionless |
s |
drawdown (recovery) |
m |
s0 |
drawdown in the well at the time of pumping stop |
m |
initial (instantaneous – for slug test) drawdown in the pumping well |
m |
|
sm |
steady-state drawdown |
m |
sr |
recovery counted from the start of recovery |
m |
drawdown in the pumping well |
m |
|
T |
transmissivity |
m2/d |
t |
time |
d |
t0 |
duration of pumping |
d |
tr |
time since the start of recovery |
d |
time since the beginning of the j-th pumping rate step in the i-th pumping well |
d |
|
u |
function argument |
|
W(u) |
well function |
|
W(u, β) |
leaky aquifer function |
|
z |
vertical distances: to aquifer top, to bottom to image well etc; for partially penetrating wells: vertical distance between screen middle points in pumping and observation wells |
m |
β |
function argument |
|
ΔL |
retardation coefficient |
m |
ρ |
horizontal distance between observation and image wells |
m |
χ |
anisotropy ratio |
Dimensionless |
τ |
variable of integration |
|
Superscripts and subscripts
Symbol |
Explanation |
a |
relates to aquifer anisotropic on the vertical scale |
pumping well number related to bounded aquifers |
|
pumping well number related to infinite and semi-infinite aquifers |
|
reflections from the left (top) or from the right (bottom) boundaries |
|
rate step number related to bounded aquifers |
|
rate step number related to infinite and semi-infinite aquifers |
|
reflection number related to bounded aquifers |
|
p |
relates to observation well or piezometer |
w |
relates to pumping well |
1, 2 |
relates to the first and the second observation wells in solutions based on drawdown in two observation wells |
character stroke |
relates to aquitard between two aquifers |