Page 49 - Geochemical Remote Sensing of The Sub-Surface

26 O.F. Putikov and B. Wen

Vl(kr 2)
0.000 ,,
1
0.005

0.004
0.003

0.002
0.001

0 I 0,
0 0.05 0.1 0.15 0.2
r~/r

Fig. 2-6. Dependence of the ascending speed of the gas bubbles v on their radius ro: 1- in free
liquid; 2- in porous medium with solid particles of radius r.

of bubbles ro/r. If ro/r >__ 0.156, the bubble will not penetrate the porous system in the
experiment.
The equation may be rewritten as follows (Fig. 2-6)"

kr 2 -

From this equation a maximum speed Vma x will be found in romax (Fig. 2-6, curve 2):

2
F
"~nlax ~ k
9.6 2 •

ro max 1
i - 0.104
r 9.6
In this case,

r o 1
Vma x - (1 - 6.4--)Vomax [~o=ro = --VOmax
r m. 3