Micromeritics DVVA II 4000, Operator'S Manual

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DVVA II 4000 Appendix B
400-42803-01 (Rev B) - July 2017 B-3
Compaction Equations
General Terms
V
T
(sometimes V
0
) = Bulk or Initial Volume. (Mass)/(Bulk Density, ρ
β
).
V
S
= Volume of Solids, (Mass)/(skeletal density, ρ
s
).
V
v
= Volume of the voids = V
T
- V
S.
Void Ratio =
Porosity =
Kawakita
The Kawakita is given by:
where
P = applied pressure
C = relative volume decrease,
a, b = material characteristic constants derived from a linear fit of
V
0
= initial volume
V = volume at pressure P
Bauer
The Bauer equation is given by:
e
V
V
V
S
------
V
T
V
S
–
V
S
------------------

S


----- 1
– = + =
n
V
V
V
T
------
V
T
V
S
–
V
T
------------------
1



S
-----
– = = =
P
C
----
1
ab
------
P
a
---
+ =
V
0
V
–
V
0
---------------
P
C
----
vs P
e e
0
3
P
a
-------
 
 
b
–
 
 
exp

=