Appendix A
Tne Related Parameters in Modeling
Mass Transport in Porous Media
Name
Notation
Dimension
Definition
Fluid density
p
ML-3
Fluid mass per unit volume, which depends
on pressure and temperature
Fluid gravity
y
ML- 2 r 2 Fluid weight per unit volume, y = pg, where
rate (specifie
g is acceleration of gravity
weight)
Fluid speeifie
{)
Ratio of fluid density to pure water density
gravity
at 4°C
Hydrodynamie
JI.
ML-1T-1
Ratio of shear stress per unit area to velocity
viseosity
gradient, mainly depending on
temperature
Compression
p
M- 1 LT 2
1 dp
P = - - - , where p is the pressure
coefficient of
p dp
fluid
Molecular
Dd
L2T-1
Ratio between diffusion flux and
diffusion coefeoncentration gradient
ficient in fluid
Grain size
d
L
In the method of hydrometer analysis, the
grain size is defined as the diameter of a
spheroidal grain which has the same
decIine veIoeity of water with the grain
Porosity
n
n = ~, where Uu is the pore volume of
RE V, and U the total volume of REV
Specific surface
M
L-1
A,
. h
M = U' A, IS t e total surface area of REV,
U the total volume of REV
Volumetrie
M- 1 LT 2
1 dU
oe
oe = -~ - , where U is the volume, p is
eompression eoU dp
efficient
the press ure
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