Volumetric strains also have a proportional relationship to the desorbed
coal gas. Harpalani and Chen (1992) introduced the following equation:

=
volume of gas desorbed
=
constant depending on the coal type
In the conclusion to the results of their research they stated that:
first, the permeability of coal was drastically increased by decreasing
the gas pressure; second, by decreasing the fluid (gas) pressure the
effective stress increases and tends to reduces the permeability, but
coal matrix shrinkage influences the permeability and limits the decrease;
third, permeability changes due to coal matrix shrinkage are dependent
on the volumetric strain
Results of the research of Ceglarska-Stefanska and Holda (1994) on sorption
of various gases by coal matrix are shown
It is obvious that the volumetric changes for coal matrix due to Helium
gas were negligible, followed by Hydrogen gas which caused 0.05% swelling
at 10 MPa, with nitrogen and Argon causing swelling amounts from 0.15%
to 0.18%, respectively. The highest amount of swelling was related to
Methane, which resulted in about 0.36% swelling. They concluded that
by increasing the molecular weight of the gas the percentage of volumetric
change would increase. However, one of the parameters, which was not
mentioned, is the different affinity of those gases to the coal matrix,
this is an important factor which should be taken into account. Figure
opposite indicates that there isn’t any interaction between Helium
and the coal matrix, however, coal adsorbs methane immensely.
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