To evaluate the permeability of coal by the complex resistivity
method, the real part of complex resistivity (R),
the imaginary part of complex resistivity (X), capacitance
(C), permeability (k), and strain
(ε) of coal in different directions under variable pressure
were measured. Based on the physicochemical structure characteristics
of coal and its conductivity and dielectric mechanism, the experimental
phenomenon was analyzed and correlated with the permeability of coal.
The results demonstrated that (1) the R–X curve is U-shaped. With increasing frequency, the amplitude
first decreases and then increases, forming an obvious trough. C decreases with increasing frequency. (2) The R–X curve is affected by pressure and directivity.
The absolute value of the R–X curve amplitude gradually decreases and shifts to the left as the
pressure increases; meanwhile, it decreases and shifts to the left
in the order of the vertical bedding direction (z direction), the vertical main fracture direction in parallel bedding
(y direction), and the main fracture direction in
parallel bedding (x direction). There is also a related
change law for C. (3) The dielectric relaxation time
(τ) was optimized as the electrically sensitive parameter of
coal. τ continues to decrease as pressure increases and decreases
in the order of the z, y, and x directions. (4) The permeability of coal is strongly correlated
with the dielectric relaxation time, and the relationship between
them conforms to a logarithmic function. The relationship of strain
and the dielectric relaxation time verifies the strong correlation
between permeability and the dielectric relaxation time. This study
provides an experimental basis and theoretical support for the subsequent
accurate prediction and evaluation of coal permeability using the
dielectric relaxation time.