Huaying Lin1, Shixiang Tian1,2, Anjun Jiao1, Zuoyong Cao3,4, Kai Song5, Yihuai Zou1. 1. College of Mining Engineering, Guizhou University, Guiyang 550025, Guizhou, China. 2. The National Joint Engineering Laboratory for the Utilization of Dominant Mineral Resources in Karst Mountain Area, Guizhou University, Guiyang 550025, Guizhou, China. 3. Institute of Mining Engineering, Guizhou Institute of Technology, Guiyang 550000, Guizhou, China. 4. Guizhou Administration of Coal Safety, Guiyang 550000, Guizhou, China. 5. College of Safety and Ocean Engineering, China University of Petroleum, Beijing 102249, China.
Abstract
Understanding the pore heterogeneity of tectonic coal and primary-structure coal is of great significance for predicting and preventing tectonic coal. This study adopts the low-temperature nitrogen adsorption method, mercury injection experiment, and other methods, combined with fractal theory, to quantitatively analyze the pore distribution of coal samples inside and outside the outburst cavities of the Sanjia coal mine. The experiments have shown that the contents of aliphatic functional groups and hydrogen in tectonic coal are higher than those of aromatic structural functional groups. Raw coal has more straight chains than side chains, whereas aliphatic hydrocarbon mostly has short chains, and the branching degree is high. Soft and primary-structure coals have similar elemental content and tectonic effects endow the coal with better connectivity. The pores are filled with particles and flakes, and the surfaces of tectonic coal have more pores and fissures on them. According to the experimental curve, the pores are divided into five types. The pore size of primary-structure coal is mainly type II pores, and the pore size distribution of tectonic coal is relatively wide, with the majority being class I and class II pores. The specific surface area of tectonic coal is 60.7% more than that of primary-structure coal. The box fractal dimension of coal decreases with the increase in scanning electron microscopy (SEM) magnification. The minimum fractal dimension of tectonic coal is 2.49, which is 7.8% lower than the peak of 2.70. It can be seen from the fractal dimension that the fractal dimensions of pore types II, III, and IV are rougher.
Understanding the pore heterogeneity of tectonic coal and primary-structure coal is of great significance for predicting and preventing tectonic coal. This study adopts the low-temperature nitrogen adsorption method, mercury injection experiment, and other methods, combined with fractal theory, to quantitatively analyze the pore distribution of coal samples inside and outside the outburst cavities of the Sanjia coal mine. The experiments have shown that the contents of aliphatic functional groups and hydrogen in tectonic coal are higher than those of aromatic structural functional groups. Raw coal has more straight chains than side chains, whereas aliphatic hydrocarbon mostly has short chains, and the branching degree is high. Soft and primary-structure coals have similar elemental content and tectonic effects endow the coal with better connectivity. The pores are filled with particles and flakes, and the surfaces of tectonic coal have more pores and fissures on them. According to the experimental curve, the pores are divided into five types. The pore size of primary-structure coal is mainly type II pores, and the pore size distribution of tectonic coal is relatively wide, with the majority being class I and class II pores. The specific surface area of tectonic coal is 60.7% more than that of primary-structure coal. The box fractal dimension of coal decreases with the increase in scanning electron microscopy (SEM) magnification. The minimum fractal dimension of tectonic coal is 2.49, which is 7.8% lower than the peak of 2.70. It can be seen from the fractal dimension that the fractal dimensions of pore types II, III, and IV are rougher.
Coal is a kind of porous
medium containing a large number of surface
areas. Gas mainly exists in coal seams in a free and adsorbed state
and in a mutual equilibrium state in a stable environment.[1−5] The difference in the pore structure of coal makes the porosity,
permeability, and adsorption capacity of coal significantly different
and even affects the diffusion and seepage of coal gas. Therefore,
studying the pore structure of coal is of great significance to understand
the mechanism of coal gas migration and mine disasters.At present,
the research methods of coal pores mainly include scanning
electron microscopy,[6] high-pressure mercury
injection,[7] and low-temperature nitrogen
adsorption.[8,9] Mercury injection is based on the characteristics
of the mercury injection curve and mercury injection pressure, which
can effectively reflect the characteristics of coal pores.[10,11] Scanning electron microscopy (SEM) is a method of transmission and
optical microscopic observation.[12−15] By scanning the synaptic points
on the surface of the measured object by electron beam, the microscopic
morphology image of the material is generated according to the surface
fluctuation. In contrast, Pan et al.’s method is based on the
capillary condensation phenomenon,[16−18] i.e., nitrogen begins
to condense in micropores, and the pore volume and diameter distributions
are analyzed.Many scholars have carried out different types
of research using
the methods described above. For instance, Liu[19] used cryogenic liquid adsorption and mercury intrusion
experiments to study the fractal dimension of the pore structure of
coal samples. Furthermore, Chen[20] used
the Menger sponge model to analyze the fractal characteristics of
coal pore structures with different degrees of metamorphism, indicating
that the fractal characteristics of coal pores have a certain influence
on the gas adsorption characteristics. Mangi[21] systematically analyzed the influence of pore size distribution
and fractal dimension on the adsorption and desorption values using
SEM and low-pressure adsorption of N2 and CO2, which was done on surfaces mainly consisting of micro- and mesopores.
Tu[22] found that structural destruction/pulverization
first modifies the small pores and above pores in coal. Research by
Ye[23] has shown that under the effect of
brittle structure reformation, the formed fragmented coal has a pore
fracture structure advantage ratio that determines the permeability
of the reservoir.Domestic and foreign scholars have studied
the pore structure of
coal affected by tectonic action. To study the influence of tectonic
action on pore characteristics in detail, different experiments are
needed to analyze different pore sizes. According to previous studies,[24−29] in a certain range, the coal morphology characteristics and the
pore structure have self-similarity, and fractal geometry can be used
to describe the disorder and irregularity of matter. Recently, research
has revealed that there is a strong relation between fractal dimension
and pore structure.[30]This paper
explores the law of structural effects on pore changes
in coal. First, the influence of coal chemical composition and functional
groups on gas adsorption was studied by industrial analysis and Fourier
transform infrared spectroscopy. Second, through the scanning electron
microscope, intuitive analysis of coal pore fracture, combined with
mercury intrusion test and liquid nitrogen adsorption analysis of
coal pore volume and specific surface area distribution, was performed.
Finally, the fractal theory quantitatively analyzes the complexity
and heterogeneity of pores, so as to better explain the influence
of coal on gas adsorption after tectonism.
Coal Samples and Experiments
After
the formation of a coal seam, the tensile and fracture activities
in the tectonic movement cause a large amount of coal seam gas to
dissipate. Different levels of tectonic activity and tectonic stress
field control the scope and intensity of tectonic action and the occurrence
and distribution of coal seam gas in different ranges. At the same
time, it also controls the migration conditions of coal seam and the
destruction conditions and scope of coal structure. Due to the different
tectonic stress fields and the internal stress state in the formation
process of different types of geological structures, the occurrence,
structure, physical properties, and fracture development of coal seams
and caprocks are different, which affects the preservation of gas.
The zone where tectonic stress is relatively concentrated is the main
place where gas outburst occurs, i.e., where rock is deformed and
tectonic stress is not fully released. The regional distribution of
coal and gas outburst in coalfields and mines is predetermined by
the uneven distribution of the tectonic stress field. The outburst
occurs at the place where the tectonic stress increases, with the
compressive and torsional structures particularly more prone to gas
outbursts. On the one hand, these structures are conducive to the
formation and development of tectonic coal. On the other hand, due
to the concentration of tectonic stress, which makes the coal seam
in a state of strong pressure and reduces the permeability of the
coal seam, thus helping to form high-pressure gas with a large pressure
gradient in the coal seam.
Sample Collection and Coal Analyses
The Sanjia coal mine belongs to the Sanjia exploration area, located
in Sanjia Township, northeast of Zhijin County, Guizhou Province,
the southwest section of the Guiyang complex structural deformation
zone, and the southeastern wing of the southwest section of the Guanzhai
syncline, as shown in Figure . It is a monoclinic structure as a whole, with the strata
trending northeast and leaning northwest, with a dip angle of approximately
10°. The faults found in the mining area are located in the southern
part of the mining area and its edges, and the formation behavior
has changed owing to the influence of the faults. The sampling location
was selected at the driving face of the 41 601 transportation
lane, which was located near the northern boundary of the mining area,
the lowest section of the M16 coal seam in the fourth district sublevel,
as shown in Figure . Tectonic coal (TC) samples were taken from the protruding holes,
and primary-structure coal (PSC) samples were taken from the outside
of the protruding holes. The two kinds of coal samples were 5 kg each.
Figure 1
Map of
coal specimen sampling sites.
Map of
coal specimen sampling sites.The coal samples were collected at the sampling
site, packaged,
and sent to the laboratory immediately to prevent oxidation. In the
laboratory, coal samples were first crushed and then screened to the
appropriate particle size. According to GB/T 214-2007 and SN/T 4764-2017,
the components of coal samples were determined by an industrial analyzer
and an elemental analyzer, respectively. In the industrial analysis
experiment, a 5E-MAG6700 Kaiyuan industrial analyzer was used to test
the contents of moisture, ash, and volatile matter in coal, and the
fixed carbon content was obtained by subtraction. The instrument mainly
relied on the calorimeter and the microbalance to heat the sample
and continuously detect the quality change of the sample to obtain
the main experimental parameters. The moisture contents of tectonic
coal and primary-structure coal are 4.6 and 4.3%, the ash yields of
tectonic coal and primary-structure coal are 6.1 and 9.3%, the volatile
matter variations are 5.4 and 4.7%, and fixed carbon variations are
82.9 and 81.3%, respectively. The composition of the coal samples
can be seen in Table .
Table 1
Composition Table of the Coal Samplesa
industrial
analysis
elementary
analysis
ingredient sample
FCad (%)
Aad (%)
Vad (%)
Mad (%)
C
H
N
S
O
TC
82.9
6.1
5.4
4.6
90.15
3.87
1.51
0.42
4.05
PSC
81.7
9.3
4.7
4.3
90.36
3.69
1.65
0.38
3.92
Mad = moisture content (wt %, air
dry basis), Aad = ash yield (wt %, air dry basis), Vad = volatile
matter (wt %, air dry basis), FCad = fixed carbon (wt %, air dry basis).
Mad = moisture content (wt %, air
dry basis), Aad = ash yield (wt %, air dry basis), Vad = volatile
matter (wt %, air dry basis), FCad = fixed carbon (wt %, air dry basis).
Experimental Procedure
Infrared spectroscopy
is a material analysis method based on the difference in the infrared
light absorption of different molecules. The infrared absorption spectrum
is the image formed by the continuous relative motion of molecules
at the equilibrium position. The components of each substance are
different. When the detected substance moves at the same position
at the same frequency, and the molecular vibration energy corresponds
to the photon energy in the infrared light, the molecules undergo
a transition, and the peripheral electrons of the molecule absorb
the energy in the incident light from the low level to the high level.
There is a “band” in the vibration spectrum, and the
measured material composition can be obtained by analyzing the spectrum.First, for the scanning electron microscopy experiment, the collected
coal samples were cut into pieces with the height and diameter not
exceeding 145 and 250 mm, respectively. Then, the cut surface of the
sample was ground and cut. A conductive glue was then applied to the
cut surface of the sample before pasting this surface on the sample
holder. A blower was then used to blow away the attachments or debris
on the sample surface. Finally, the purged samples were treated under
vacuum drying and conduction.To reduce the influence of moisture
on the test, the coal sample
was dried at 100 °C before performing the mercury intrusion experiment
using an Auto Pore 9505 mercury intrusion meter. When the mercury
intrusion method was used for testing, mercury entered the cracks
first in the low-pressure stage. As the pressure increased, mercury
began to enter the pores when the pressure was greater than the capillary
force of the pore throat. For cylindrical holes, the following equation
was satisfiedwhere P is the pressure of
the pressed mercury (MPa), α is the surface tension of mercury
(485 mN/m), θ is the contact angle between the mercury and the
surface of the coal sample, taken as 130°, and d is the pore diameter (nm).The experimental test instrument
used was a 3H-2000PS2 analyzer
of the specific surface area and pore size. The measurement temperature
was 77.3 K. The test pore size range was 0.35–500 nm. The samples
were manually screened to eliminate the mineral impurities contained
in the samples and the fracture and structural fracture caused by
human activities and to minimize the possibility of these characteristics
affecting the measurement results. Then, the sample was crushed and
sieved to 60–80 mesh pulverized coal sample. Single-layer adsorption
was obtained according to the multimolecular layer adsorption formula
to analyze the specific surface area, pore size, and pore volume distribution.The van der Waals force and the gas–liquid two-phase surface
tension mainly affect gas adsorption by coal. The main force in the
adsorption process is affected by pressure. The van der Waals forces
play a major role in the low-pressure stage. As the pressure increases,
the effect of the gas–liquid two-phase surface tension becomes
increasingly noticeable. The critical point of the two forces occurs
when A = −1/3. When A >
−1/3,
the van der Waals force is much larger than the surface tension. When A < −1/3, the surface tension has a significant
effect.
Analysis of Coal Functional Groups
The infrared spectrum of coal is a mixed peak of various organic
and inorganic minerals, and the peak shapes cover each other and overlap.
By analyzing the original data of the two coal samples, the infrared
spectra of the two coal samples are obtained, and the spectra are
shown in Figure .
Figure 2
Infrared
spectrum curve of the coal sample.
Infrared
spectrum curve of the coal sample.Fourier transform infrared (FTIR) spectroscopy
has been widely
used in the study of coal chemical structure and coal evolution. However,
due to the complex molecular structure of coal and the influence of
sample preparation and experimental equipment, the technology can
only be used for qualitative analysis in the early stage and cannot
complete quantitative research. With the assistance of data processing
software, the following structural parameters can be semiquantitatively
analyzed using the ratio of functional group subpeak area so as to
analyze the structural changes of coal in the metamorphic evolution
process.[31] The calculation of structural
parameters is shown in Table .
Table 2
Semiquantitative Parameters Based
on Infrared Spectroscopy
semiquantitative
parameters
parameter calculation suction
peak harvesting calculation (cm–1)
aromaticity I
bending vibration of aromatic C–H/aliphatic C–H
(700∼ 900)/(2800–3000)
condensation DOC
bending vibration
of aromatic C–H/aromatic C = C
(700–900)/(1490–1600)
fat chain length
CH2/CH3
2920/2950
hydrocarbon
generation potential HGP
fat C–H/(fat + aromatic C=C)
(2800–3000)/[(2800–3 000) + (1490–1600)]
maturity Csd
aromatic C=C/(aromatic C=C + COOH)
(1490–1600)/[(1490–1600) + 1700]
Maturity Csd is used to
evaluate the
maturity of organic matter during coal metamorphism. The length of
the fat chain represents the length and branching degree of the fat
chain in coal. Hydrocarbon generation potential is usually used to
evaluate kerogen hydrocarbon generation potential. Aromaticity is
used to characterize the degree of aromatization of the coal structures.
The higher the aromaticity, the higher the degree of aromatization.
The degree of condensation represents the degree of condensation of
aromatic rings in the coal structures. The parameter calculation results
are shown in Table .
Table 3
Calculated Value of Coal Sample Structure
Parameters
parameter
sample
I
DOC
ACH2/ACH3
HGP
Csd
TC
0.318
1.560
0.850
0.807
0.969
PSC
0.298
1.010
0.916
0.738
0.976
The value of I of tectonic coal is
larger than
that of primary-structure coal, indicating that the aliphatic functional
group of tectonic coal is higher than that of the aromatic structural
functional group. The DOC of tectonic coal is higher than that of
primary coal, and the hydrogen content is higher than that of primary
coal, indicating that the outburst coal has better hydrocarbon generation
potential, which is consistent with the calculated HGP value. The ACH/ACH raw coal is relatively low, and the maturity is slightly
higher than that of tectonic coal, indicating that the raw coal has
more straight chains than side chains, and the aliphatic hydrocarbons
are mostly short chains and have a high branched degree. However,
on the whole, the structural parameters have little difference.
Coal Sample Pore Size and Specific Surface Area
SEM Analysis of the Coal Sample
Pore Profile Analysis
The primary
structure of the coal had good homogeneity and integrity, and three
types of micropores could be seen in the coal, namely, pores, cell
pores, and mold pores.[32] Stomatal pores
were metamorphic pores formed by the effects of “gas generation”
and “accumulation gas” during coal metamorphism at the
coal formation stage. These pores had different shapes, such as subcircular,
ellipsoidal, and irregular shapes. The distribution of pores was concentrated,
and some of them were produced in groups. The size of the pores varied
but was essentially below 10 μm. The pores were fundamentally
not connected. The pores were often filled with granular and flake-like
detrital minerals, minerals, and organic matter, which were formed
owing to the difference in the hardness due to the compressive stress
during coal formation. In the process of coal formation, some imprint
pits were formed under the action of compressive stress. These imprint
pits were mold holes, which were a type of mineral pores. The pore
shape of the mold was highly complex. The pores were not connected
and were all “dead holes.” The pore diameters were generally
less than 20 μm.Compared with Figure a,d, owing to the tectonic stress field and
its evolution, the coal body was destroyed, and a large number of
broken particles were formed. The grains were combined and stacked
to form strips, sheets, or semicircular pores between the grains.
The holes varied in size, but most of them were 1–10 μm.
The pore diameters were also significantly different, with values
ranging from 0.5 to 5.0 μm. Due to the tectonic stress, tectonic
coal had more microcracks than primary-structure coal. The pores were
well-developed and concentrated, and there was much connectivity between
pores.
Figure 3
Pore types of different rank coal samples from SEM images.
Pore types of different rank coal samples from SEM images.
Box-Counting Dimension
The box-counting
dimension in fractal dimension can reflect the distribution pattern
of microfractures in three-dimensional space from the spatial possession
ability, and quantitatively analyze the heterogeneity and complexity
of microfractures in space. Then, the difference in the coal reservoir
permeability is revealed. The fractal curve is placed in a box with r edges. Some fractal curves do not occupy the space of
small boxes, and small boxes cover some curves. The number of empty
and nonempty boxes are noted, and N(r) is used to represent the number of nonempty boxes. Reducing the
size of the box increases N(r).
When r approaches 0, the fractal dimension can be
obtainedwhere D is the surface fractal
dimension.According to image recognition and box fractal dimension,
the python platform is used to build a platform for calculating the
fractal dimension in Figure a,l.The fractal dimension of each coal sample with
different magnification
boxes is summarized, and the summary diagram is shown in Figure .
Figure 4
ln(1/r)–ln(Nr) curves at different magnifications.
ln(1/r)–ln(Nr) curves at different magnifications.The fractal dimension of the coal box showed a
decreasing trend
with the increase in magnifications of SEM. The minimum fractal dimension
of primary-structure coal was 2.49, which was 7.8% lower than the
peak value of 2.70. The fractal dimension of tectonic coal remained
above 2.6. Due to the small magnifications, the microcracks were more
obvious than the pores. When the magnifications were large enough,
the pore performance was more prominent, and the range of microcracks
in the figure decreased, which reduced the box dimension. The complexity
of fractures and pores can be analyzed simply according to changes.
Since a small amount of pulverized coal remained on the surface of
primary structure coal before the experiment, and the section is stepped,
the surface reflection is serious relative to tectonic coal, resulting
in the 200 and 500 magnifications box dimension is higher than tectonic
coal, as shown in Figure
Figure 5
Box dimension of scanning electron microscopes.
Box dimension of scanning electron microscopes.
N2 Isothermal Adsorption–Desorption
Curves
Pore Type Analysis
In liquid nitrogen
adsorption experiments, if the adsorption–desorption is not
completely reversible, the adsorption–desorption isotherms
do not coincide. This phenomenon is called the hysteresis effect,
that is, the results are related to the process, and often occurs
in type IV adsorption equilibrium isotherms. The low specific pressure
region is related to the monolayer adsorption. Due to the reversibility
of monolayer adsorption, there is no hysteresis phenomenon in the
low specific pressure region. According to the adsorption–desorption
curve, four types of pore structures are divided, and the specific
pore types are shown in Table .
Table 4
Summary of Pores Types
As shown in Figure , the adsorption curve of the coal sample increases
steadily when P/P0 is
small and increases
rapidly when P/P0 is
close to 1.0. When the relative pressure is 0.45–1.0, there
is an obvious hysteresis loop. When P/P0 is around 0.5, the inflection point appears, indicating
that the pore morphology was ink bottle-shaped or unilaterally closed
fine bottleneck pores. The pores with a diameter greater than 10 nm
have good connectivity, and the pore morphology may be cylindrical
and parallel plate-like with both sides open.
Figure 6
Adsorption–desorption
curves of different coal samples.
Adsorption–desorption
curves of different coal samples.
Volume Fractal Dimensions
According
to the experimental data on nitrogen adsorption, FHH fractal dimension
model was used to calculate the fractal dimension of the coal pore
volume. The fractal dimension samples are determined by the FHH fractal
model.where V is the coal sample
adsorption volume (mL) under pressure P, V0 is the adsorption volume of the unit molecular
layer (mL), P0 is the saturated vapor
pressure (Pa), P is the balance pressure (Pa), A is a linear constant, and C is a constant.According to the experimental data of nitrogen adsorption, using
the FHH fractal dimension model, there are two conventional methods
to determine the fractal dimension of the surface and pore volume
of the coal sample j: D = A + 3 and D = 3A + 3.
However, the calculation results of D = 3A + 3 are often less than 2, which does not meet the range
of fractal dimensions. Therefore, D = A + 3 is used to determine the volume fractal dimensions of micropores
and mesopores.Through the FHH model, the linear fitting of
ln V and ln(ln(P0/P)) is carried out. The curve is shown in Figure . When the pore diameter
is 2 nm, the curve
is divided into two sections. The fractal dimension of each segment
is calculated according to Figure . The results are shown in Table . It can be seen from Table that D1D2 and the value of primary-structural coal are
relatively low. There is no obvious correlation between D1 and D2, indicating that
different pore types have different effects on pore volume fractal
characteristics.
Figure 7
Representative plots of ln V vs
ln(ln(P0/P)) reconstructed
from the
N2 adsorption analysis of different coal samples.
Table 5
Pore Volume Fractal Dimensions from
the N2 Adsorption Data of Coal Samplesa
y1
y2
sample
A
D1
R2
A
D2
R2
TC
–0.454
2.546
0.98
–0.418
2.582
0.98
PSC
–0.589
2.411
0.96
–0.697
2.303
0.91
D1 is
class I pore volume fractal dimension. D2 is the fractal dimension of the type II pore volume.
Representative plots of ln V vs
ln(ln(P0/P)) reconstructed
from the
N2 adsorption analysis of different coal samples.D1 is
class I pore volume fractal dimension. D2 is the fractal dimension of the type II pore volume.
Pore Size Distribution of MIP
Mercury Curve Analysis
It can be
seen from Figure that
the maximum injection amounts of mercury in tectonic coal and primary-structure
coal are 0.064 and 0.02556 mL/g, respectively. In the early stages
of mercury removal, a small part of the mercury advancing and retreating
curves overlapped with the coal sample. Among them, the lagged loop
was larger, the pores were more open, and the connectivity was higher.
The mercury intake of primary-structure coal was much smaller than
that of structural coal, the lagged loop formed by the mercury advancing
and retreating curves was smaller, the pores were less open, and the
connectivity was poorer.
Figure 8
Mercury inflow and mercury withdrawal curves.
Mercury inflow and mercury withdrawal curves.
Geometric Fractal Dimension
Due
to the unique complexity and heterogeneity of coal pore structure,
it is difficult to accurately and quantitatively describe and characterize
it using traditional methods. However, fractal theory can effectively
be used to study and describe the pore morphology of coal. Mandelbrot[33] first proposed the fractal theory, and it is
widely used in the analysis of surface characteristics of self-similar
substances. The size of the fractal dimension reflects the complexity
and heterogeneity of the coal pores. The larger the fractal dimension,
the less regular the pore shapes are and the rougher the surface is.After mercury enters the pores, the total pore volume under the
current pressure equals the amount of mercury entering the pores.
Therefore, the relationship between the pore volume gradient and the
pressure and fractal dimension can be obtained through the relationship
between the pore volume and fractal dimension[34]Take the logarithm on both sides of
the equal sign to obtainBy processing the experimental data,
a scatter plot can be drawn
with lg(dV/dP) as the ordinate and
lg(P) as the abscissa, and each point can fit the
curve. The double logarithm diagram of lg(dV/dP) and lg(P) (as shown in Figure ) shows that the curve is divided
into four sections when the pore size is 2000, 2000, and 50 nm. To
better analyze the pore characteristics of coal samples, the pore
size is divided into four sections according to the inflection point
of the mercury intrusion test: V (∼20000 nm), IV (20000–2000
nm), III (2000–50 nm). Because the error of pores is less than
50 nm, the classification is not continued here. Except for the curve
less than 50 nm, each segment is fitted.
Figure 9
dV/dP and P logarithmic
graph of the coal sample.
dV/dP and P logarithmic
graph of the coal sample.Owing to the strong heterogeneity of coal, the
fractal dimension
of pores in different pore sizes is different. It is difficult to
represent the overall complexity of coal reservoirs. To better reflect
the complexities of the pore structures, the fractal dimensions D5, D4, and D3 of each aperture segment are calculated for
V;, IV, and III (see Table ). The geometric fractal dimensions of the pore V and IV of
tectonic coal are higher than that of primary-structure coal, and
those of pore III are lower than that of primary-structure coal.
Table 6
Pore Fractal Dimension of Coala
sample
pore size
range/nm
A
Di
R2
TC
>20 000
–1.003
2.997
0.94
20 000–2000
–0.481
3.529
0.95
2000–50
–0.901
3.099
0.92
PSC
>20 000
–1.864
2.136
0.75
20 000–2000
–0.790
3.210
0.97
2000–50
–0.745
3.255
0.91
Di is
the total identifier of fractal dimension, where the fractal dimension
of aperture larger than 20000 nm is D5; 20 000–2000 nm fractal dimension is D4; the fractal dimension of 2000–50 nm aperture
is D3.
Di is
the total identifier of fractal dimension, where the fractal dimension
of aperture larger than 20000 nm is D5; 20 000–2000 nm fractal dimension is D4; the fractal dimension of 2000–50 nm aperture
is D3.The geometric fractal dimension reflects the complexity
of the
coal pore surface, and its value should vary between 2 and 3. The
larger the fractal dimension, the more complex the pore structure
is. A pore fractal dimension equal to 2 represents a relatively uniform
pore structure, whereas a fractal dimension equal to 3 represents
a highly irregular pore structure. The number of geometric fractal
dimensions exceeding 3 may be due to the following reasons: (I) there
are voids between coal particles; (II) the pore structure is destroyed;
and (III) there are certain cracks in the material. Due to the compression
deformation of coal matrix caused by high mercury injection pressure,
the calculation results of fractal dimension are often greater than
3, but the calculation results are still effective evaluation indexes
to characterize the heterogeneity of coal pore structure.
Fractal Dimension Analysis
Due to
the error of the mercury injection experiment in the measurement of
small pore size, low-temperature liquid nitrogen adsorption cannot
measure the large pore size. Therefore, the fractal dimension maps
of the two experiments are nested. The pore size of 50 nm is taken
as the boundary point, and the fractal dimension integration map is
shown in Figure .
Figure 10
Fractal dimension of different coal samples.
Fractal dimension of different coal samples.The fractal dimensions of different types of pores
are calculated
according to the curve fitting results in Figure . The calculation results are shown in Table .
Table 7
Fractal Dimension Summary Table of
Different Coal Samples
I
II
III
IV
V
sample
0–2
2–50
50–2000
2000–20 000
20 000∼
TC
2.546
2.411
2.997
3.529
3.099
PSC
2.582
2.303
2.136
3.210
3.255
The fractal dimension curve is drawn according to
the data from Table . According to Figure , the fractal dimension
of tectonic coal is higher than that of primary-structure coal on
the whole. Except for classes I and V, the fractal dimensions of tectonic
coal are all high, indicating that the pore structure of tectonic
coal is more complex than that of primary-structure coal, and the
results are similar to those of box fractal dimension. The highest
fractal dimension of tectonic coal is type IV pore and that for primary-structure
coal is type III pore.
Figure 11
Variation curves of fractal dimension of different
coal samples.
Variation curves of fractal dimension of different
coal samples.
Coal Sample Pore Size and Specific Surface
Area
According to the fractal curve, the pores are divided
into five categories: I (<2 nm), II (2–50 nm), III (50–2000
nm), IV (2000–20 000 nm), and V (>20 000 nm).
Among them, I and II are measured by a low-temperature liquid nitrogen
adsorption experiment and III, IV, and V are measured by a mercury
intrusion experiment. Since gas adsorption mainly occurs in pores,
pore volume distributions and specific surface area in the main coal
samples are studied. The pore analysis results are shown in Table .
Table 8
Coal Sample Pore Volume Distribution
I
II
III
IV
V
sum
sample
parameter
0–2
2–50
50–2000
2000–20 000
20 000∼
NA
TC
V
2.96 × 10–3
3.47 × 10–2
1.67 × 10–2
6.39 × 10–3
5.09 × 10–3
0.06575
V%
4.51
52.70
25.33
9.72
7.73
100
A
3.55
8.12
1.94 × 10–1
2.01 × 10–3
2.89 × 10–4
11.865
A%
29.91
68.43
1.63
0.0169
0.00244
100
PSC
V
6.77 × 10–4
2.01 × 10–2
4.27 × 10–3
1.63 × 10–3
3.25 × 10–4
0.02703
V%
2.51
74.46
15.81
6.01
1.20
100
A
8.05 × 10–1
6.52
5.27 × 10–2
7.94 × 10–4
2.49 × 10–5
7.382
A%
10.90
88.38
0.71
0.0108
0.000034
100
Tectonic deformation has a strong transformation effect
on the
change in the pore structure characteristics of coal. Tectonic deformation
increases the porosity of coal. The pore volume of different pore
sizes increases with the increase in tectonic deformation, and the
change in the pore percentage of different pore sizes is different.
The proportion of pores in coal is shown in Table . According to Figure , the pores of tectonic coal and primary
coal are mainly concentrated in type II pores, and the proportion
of primary-structure coal is 74.46%, while that of tectonic coal is
only 52.70%, which may be due to the following two reasons: (1) tectonic
stress causes new pores and cracks in coal, and the increase in type
II pores is lower than that of other pores and (2) the proportion
is reduced by the collapse or closure of some type II pores due to
tectonic stress.
Figure 12
Curves of incremental pore volume and cumulative pore
volume varied
with the pore diameter of coal samples.
Curves of incremental pore volume and cumulative pore
volume varied
with the pore diameter of coal samples.There is a certain correlation between the amount
of gas adsorption
and the specific surface area of coal samples. Therefore, the curves
of pore size and specific surface area of different coal samples are
drawn. According to the curves, the specific surface area of tectonic
coal is 11.865 m2/g and that of primary-structure coal
is 7.382 m2/g. The curve is shown in Figure .
Figure 13
Distribution of the
pore-specific surface area.
Distribution of the
pore-specific surface area.With the increase in coal crushing degree, the
specific surface
area of coal increases gradually. This shows that the coal seam geological
tectonics aggravate the change in the specific surface area of the
coal body. Under geological tectonics, the specific surface area of
the coal sample with a higher crushing degree is larger, that is,
the coal body has a stronger ability to accommodate gas.
Conclusions
The functional groups,
pore diameter, and specific surface area
distribution of tectonic coal and primary-structure coal were analyzed
through experiments. According to the experimental data of SEM, mercury
injection, and nitrogen adsorption, the complexity of internal pores
in coal was revealed by fractal theory, and the influence of geological
action on coal pores was revealed. The main research results of this
paper are as follows:The aliphatic functional groups and
hydrogen content of tectonic coal are higher than those of aromatic
structural functional groups. The content of the straight chain of
raw coal is more than that of the side chain. The aliphatic hydrocarbon
mostly consists of short chains and has a high branching degree. There
are many hydroxyl, carboxyl, and carbonyl groups in primary-structure
coal, and the probability of forming hydrogen bonds in coal is high,
making it difficult for coal to adsorb gas.The pores were divided into five categories
(I (<2 nm), II (2–50 nm), III (50–2000 nm), IV (2000–20 000
nm), and V (>20 000 nm)) by mercury intrusion experiment
and
low-temperature liquid nitrogen experiment. The pore size of primary-structure
coal is mainly concentrated in type II pores, and the pore size distribution
of tectonic coal is relatively wide, with the majority of them being
class I and class II pores. The specific surface area of tectonic
coal is 60.7% more than that of primary-structure coal.In the box fractal dimension of coal,
the box fractal dimension of coal decreases with the increase in SEM
magnification. The minimum fractal dimension of tectonic coal is 2.49,
which is 7.8% lower than the peak of 2.70. It can be seen from the
fractal dimension that the fractal dimensions of pore types II, III,
and IV of tectonic coal are higher than those of primary-structure
coal.