NANOHYDROMECHANICS - Foundations of Nanotechnology: Pore Size in Carbon-Based Nano-Adsorbents - page 236

additionally bonded by surface forces of mineral skeleton, whereas in the center
of the channel the resultant of these forces is equal to zero [1]. Similar conclu-
sion was obtained by Diskej [15]. Therefore, the concentration of hydrocarbons
in failation flow is greater than C 0 . However, the cramped conditions of the pore
space in OGMT, as noted, do not allow such molecules to combine into a separate
phase. Consequently, they are forced to migrate in a homogeneous unstable mix-
ture with molecules of the pore water.
Based on the above, one can calculate the concentration of hydrocarbons in
failation stream, if their concentration in the volume of pore space is equal to C .
The ideology of this calculation is fairly obvious.
If the channel pore with radius R and the length l contains N molecules of a
solvent such as water, we can write down

. 3

2 3

Rl =π N r

where, r - radius of molecules of the solvent, the total number of which is n t at the
fixed moment of time are located on the channel axis(i.e., there are always vacan-
cies). Then l = 2 rn , which after substituting into the initial equation gives
2

2
3

r

n = N R

t 2

In other words, the number of molecules that fall at the same time on the axis
of the pore channel, in R 2 /r 2 time smaller than two-thirds of their total number N in
the channel. And because the frequency of contact of the hydrocarbon molecules
with the axis of the pore channel is priorited compared with the water molecules,
their concentration in this part of the pore space is equal to

2

N 3

2

R

(5.27)

CC

φ =

= C

2

n r

t

The resulting formula characterizes the concentration of hydrocarbon-sub-
stances in filation flow (the Eq. (5.27) holds for the reaction volumes commensu-
rate with the volume occupied by the molecules of derivatives, which is charac-
teristic of the pore space of clay OGMT).
A capillary pressure force directed against the forces of buoyancy occurs at the
hydrocarbon-cluster contact with manifold overlapping tight layer and therefore;

2

n gH n

( )

(5.28)

K ≤

n

r −r +

-

np 0

2 s 2 K

where, K np and n - coefficients of permeability and porosity of the proposed
tires, respectively; K and n- coefficients of permeability and porosity of the manifold,