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Main notation

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Notation >

Main notation

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