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Appendix A
Name
Notation
Dimension
Definition
Permeability
k
L 2
k = K/l/pg, where K is the hydraulic
(tensor)
eonduetivity
Hydraulie eonK
LT-t
The ratio between Darey's veloeity and
duetivity
hydraulic gradient. It is a tensor in an
(tensor)
anisotropie medium.
Tortuosity
T
Proportionality eonstant between external
(tensor)
force eomponent Fj (on abseissa Xj) aeted
on the fluid volume of a point in porous
spaee and F'l whieh is the projected
eomponent of this force along the flow
line of the point, Fj T;j = F/, T;j are
eomponents of T
Transmissivity
T
L2 T-t
T = Kb, where b is the thiekness of aquifer
ofeonfined
aquifier
Storage eoeffiS
The volume of water released from aquifer
cient
storage in unit horizontal area when the
mean piezometrie head on the perpendieular line of aquifer drops by one unit
Speeifie storage
S,
L- t
The volume of water released from aquifer
eoefficient
storage of unit volume when the water
head drops by a unit, therefore S = S,b,
S, = pg((X + nß)
Longitudinal
(XL
L
Proportionality eonstant of longitudinal
dispersivity of
dispersion eoeffieient (aligned with the
isotropie porous
flow direetion) to average velocity
medium
Transverse dis(XT
L
Proportionality eonstant of transverse
persivity of
dispersion eoefficient (perpendicular to the
isotropie porous
flow direetion) to average veloeity
medium
Meehanieal disD'
UT-t
D;j = (XT Vb jj + ((XL - (XT) V. J.j/V, where D;j is
persion eoeffia eomponent ofD'; bij = 1, when i = j;
eient (tensor)
bi} = 0, when i "# j; V. and J.j are velocity
eomponents, V the average ve10city
Moleeular diffuD"
L2 T-t
D" = DdT
sion eoefficient
(tensor) in
porous medium
Hydrodynamie
D
L2 T-t
D=D'+D"
diffusion eoefficient (tensor)
Mean porous
V
Lr t
Maeroscopie mean value of mieroveloeities
veloeity
in REVofporous medium
Darey's velocity
q
LT-t
q=nV