NANOHYDROMECHANICS - Foundations of Nanotechnology: Pore Size in Carbon-Based Nano-Adsorbents - page 234

where, V G -velocity of hydrocarbon generation Organic Materials (OM) from
OGMT; t -time; G -the productivity of generation.
The formation of hydrocarbons from the Dispersed Organic Material (DOM)
can be regarded as an elimination process in which the initial component is the
reactive part of the DOM, and the final product (hydrocarbon molecules). Then,
the reaction velocity of elimination is written well-known formula

( )

e e

t

V =eG =eG - x (5.22)

since .
In such a formulation, V -the velocity of formation hydrocarbon from DOM;
e -integrated constant of reaction velocity; G -the initial concentration of the re-
action capable of part of the DOM in the breed; × - the mass of hydrocarbons that
has developed in time t ; e - is usually determined experimentally from the veloci-
ty of formation of hydrocarbon out from the given DOM at different temperatures.
Equation (5.22) is valid for open systems in which the products of the reaction
easily draw off the center of the reaction. In conditions of porous medium of natu-
ral OGMT with a limited pore volume it is necessary to introduce a factor consid-
ering the difficulty of derivatives removal (reaction products) into the Eq. (5.22).
As noted above, gas (or oil) cannot exist in the pore channels of clay medium
in the form of separate phase, the elimination reaction can continue only until the
capacity of the pore space is depleted relative to the hydrocarbon material.
The magnitude of this capacity is determined by the solubility of hydrocarbon
in the pore water under specified pressure and temperature. The limiting value of
the concentration of derivatives in the layer place express the maximum capacity
of the reaction volume. The velocity of reaction considering this case, is limited
by the introduction of Eq. (5.22) factor

a , where C -the current concen-
tration of hydrocarbon in the pore water, C 0 -its maximum value.
Thus, the velocity of generation of hydrocarbon per unit area of the roof of
OGMT is (actually generation process is implemented in OGMT thick h , but all
products of this generation pass through the surface of contact generating thick-
ness with the collector. Therefore, the amount of generation is convenient to nor-
malize the surface area of the roof OGMT.)

1 − C / C

0

(

CC e -e

)

t

V

=e - h G 1/

(5.23) 0

where, h -thickness of OGMT.
The magnitude of the current concentration of hydrocarbons in the flow of
pore water, squeezed out from OGMT, by definition, is equal

x h G

( )

(5.24)

C

-e
== - 1 e

t

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