Liankun Zhang1,2, Tianhe Kang1, Jianting Kang3, Xiaoyu Zhang1, Bin Zhang1, Zhaoyun Chai1, Runxu Zhang1, Yuefang Wang2, Guanxian Kang3, Guofei Zhao1. 1. Key Laboratory of In Situ Property Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, PR China. 2. Yuncheng Vocational and Technical University, Yuncheng 044000, PR China. 3. College of Safety and Emergency Management Engineering, Taiyuan University of Technology, Taiyuan 030024, PR China.
Abstract
The application of cyclical microwave modification for accelerating the extraction of coalbed methane (CBM) from anthracite is limited. In this study, the apparent permeability of anthracite samples before and after each microwave treatment (three in total) for 120 s was measured by a self-built permeability-testing platform. Microcomputed tomography (micro-CT) technology and image-processing technology were employed to analyze the 3D micron-scale pore structures, especially the quantitative characterization of connected pores and throats. After modification, the average apparent permeability increased from 0.6 to 5.8 × 10-3 μm2. The generation, expansion, and connection of micron-scale pores and fractures became more obvious with each treatment. The total porosity increased from 3.5 to 6.2%, the connected porosity increased from 0.9 to 4.8%, and the porosity of isolated pores decreased from 2.5 to 1.4% after three cycles. The number, volume, and surface area of the connected pores as well as the number, radius, and surface area of the throats were significantly increased. In addition, the release of alkyl side chains from the anthracite surface reduced the capacity of the anthracite to adsorb CH4 and the decomposition of minerals promoted the development and connectivity of pores. As a result, the gas seepage channels have been greatly improved. This work provides a basis for micron-scale pore characterization after cyclical microwave modification and contributes to CBM extraction.
The application of cyclical microwave modification for accelerating the extraction of coalbed methane (CBM) from anthracite is limited. In this study, the apparent permeability of anthracite samples before and after each microwave treatment (three in total) for 120 s was measured by a self-built permeability-testing platform. Microcomputed tomography (micro-CT) technology and image-processing technology were employed to analyze the 3D micron-scale pore structures, especially the quantitative characterization of connected pores and throats. After modification, the average apparent permeability increased from 0.6 to 5.8 × 10-3 μm2. The generation, expansion, and connection of micron-scale pores and fractures became more obvious with each treatment. The total porosity increased from 3.5 to 6.2%, the connected porosity increased from 0.9 to 4.8%, and the porosity of isolated pores decreased from 2.5 to 1.4% after three cycles. The number, volume, and surface area of the connected pores as well as the number, radius, and surface area of the throats were significantly increased. In addition, the release of alkyl side chains from the anthracite surface reduced the capacity of the anthracite to adsorb CH4 and the decomposition of minerals promoted the development and connectivity of pores. As a result, the gas seepage channels have been greatly improved. This work provides a basis for micron-scale pore characterization after cyclical microwave modification and contributes to CBM extraction.
Coalbed methane (CBM) provides a clean energy supply for the world.[1] Since the 1970s, CBM has developed into a sustainable
commodity with a great economic value in the United States and Canada.[2] The CBM reserves in China are approximately 36.81
× 1012 m3 and rank third after Russia and
Canada.[3] In the past, CBM was only discharged
to avoid coal/gas outbursts or gas explosions during coal production.[4−6] It was not until 2003 that the first commercial well for CBM extraction
in China was reported.[7] Subsequently, China’s
CBM extraction industry developed rapidly. However, the efficiency
of CBM extraction is extremely low in most areas due to poor geological
conditions such as low permeability and low porosity, which restricts
the commercialization process.Many approaches have been considered
in the effort to stimulate
coal reservoirs. Methods other than CO2 substitution and
N2 displacement will have a significant effect on reservoir
permeability.[8] One approach is fluid injection,
which includes hydraulic,[9] high energy
gas,[10,11] supercritical CO2,[12,13] liquid nitrogen,[14−16] and steam injection fracturing.[17,18] Another approach is the application of external acoustic,[19−21] electric,[22] electromagnetic,[23−26] or electrochemical fields.[27−33] Although these methods have achieved enhancements, there are still
some limitations, such as water locking damage, construction costs,
complex operations, ecological environmental pollution, and even the
possibility of inducing earthquakes by hydraulic fracturing.[34,35] At present, microwave modification technology has been successfully
used for coking,[36,37] reduction of energy for pulverization,[38] lignite dehydration,[39] coal desulfurization,[40] low-rank coal
pyrolysis,[41] biomass pyrolysis,[42] enhancing floatation,[43] auxiliary rock breaking,[44] heavy oil
exploitation,[45] and oil shale exploitation.[46]Microwave modification can increase the
temperature of the coal
or rock stratum and aid in moisture removal. Microwave radiation heating
is a highly efficient and environmentally benign method for reservoir
stimulation due to its unique instantaneous effects, overall penetrability,
selectivity, and controllability. Microwaves are electromagnetic waves
with frequency in the 300 MHz to 300 GHz range. The essence of the
heating effect is dielectric relaxation; that is, under the effect
of an electric field, the dipole moments of polar molecules rotate.
When the electric field frequency is equal to the microwave frequency,
the rotation speed of electric dipoles cannot keep up with the frequency
of the microwave electric field, resulting in a hysteresis phenomenon.[47] Hong et al.,[48] Xu
et al.,[49] and Huang et al.[50] carried out simulations of the heating behavior of coal
under microwave radiation using COMSOL and reported that microwaves
can rapidly heat coal. Cai et al.,[51] Teng
et al.,[52] and Zhao et al.[53] found that the pore structures and permeability of coal
change under high-temperature conditions. Wang et al.[54] found that high temperatures can induce cracks in the hot
dry rock and improve its brittleness index and even increase its permeability
by an order of magnitude.Micro-CT is a high-efficiency method
to analyze micron-scale pores,
fractures, cracks, and cleats without causing any structural damage
in coal samples.[55−57] Feng and Zhao[58] observed
the characteristics of mesocrack evolution in lignite and gas coal
with temperature variation. Kang et al.[59] observed and analyzed the thermal cracking process of oil shale
from 20 to 600 °C. The structural parameters of micron-size pores
can be characterized quantitatively by the postprocessing of images.
Kong et al.[60] measured the pore-fracture
features of anthracite such as pore number, porosity, and average
pore diameter before and after electrochemical modification combined
with MATLAB software. Huang et al.[61] studied
the connectivity of the pores and fractures in oil shale at different
steam temperatures by digitization of cores. Kumar et al.[38] determined the cleat frequency and distribution
in two cores and confirmed that new fractures were induced by exposure
to high-energy microwaves. Yao et al.[62] demonstrated the capability of micro-CT to characterize the development
of coal porosity and fractures and found that the distribution characteristics
of porosity were highly anisotropic. Cai et al.[63] examined the evolution of a 3D fracture network under stress
until failure occurred by micro-CT and acoustic emission.In
this paper, the apparent permeability was studied for anthracite
samples before and after they underwent cyclical microwave modification;
measurements were performed with a permeability-testing platform that
was built in this laboratory. The structure of micron-scale pores
before and after modification, especially the connected pores that
make the main contribution to gas seepage in anthracite, were quantitatively
characterized by micro-CT combined with the image-processing technology.
Moreover, the surface groups on anthracite and the minerals in the
coal were investigated by Fourier transform infrared (FTIR) spectroscopy.
Results and Discussion
Influence of Cyclical Microwave
Modification
on the Apparent Permeability of Anthracite
Apparent permeability
plays an important role in the evaluation of recovery efficiency of
CBM extraction.[2] Li et al. found that the
apparent permeability of anthracite in Qinshui Basin is in the range
of 0.01 × 10–3 to 10 × 10–3 μm2.[64] The variation
law of apparent permeability of anthracite after cyclical microwave
modification is shown in Figure a, and the variation fitting results are shown in Figure b. It can be seen
that the apparent permeability of the raw anthracite sample was in
the range of 0.5–0.7 × 10–3 μm2, and the results were consistent with Li et al.[2] After microwave exposures for 1, 2, and 3 cycles,
the average apparent permeability increased from 0.6 to 3.6, 5.0,
and 5.8 × 10–3 μm2, increasing
by 5.1, 7.4, and 8.8 times, respectively. The results showed that
improving apparent permeability by cyclical microwave modification
can effectively accelerate the extraction of CBM. The modification
mechanism would be analyzed by the changes in microscale pore structures,
surface groups, and mineral materials in anthracite.
Figure 1
Change in apparent permeability
of anthracite with the number of
treatment cycles. (a) Experimental results. (b) Fitting results.
Change in apparent permeability
of anthracite with the number of
treatment cycles. (a) Experimental results. (b) Fitting results.
Influence of Cyclical Microwave
Modification
on the Porosity of Anthracite
The change in pore structures
after three cycles of microwave exposure is exhibited in a 3D representative
volume element (3D-REV) in Figure . The porosity of the total pores and connected pores
increased, while the porosity of the isolated pores decreased with
cyclical microwave modification, as shown in Figure . The total porosity increased from 3.5 to
6.2% and the connected porosity increased from 0.9 to 4.8%, increases
of 77.6 and 409.6%, respectively. The porosity of isolated pores decreased
from 2.5 to 1.4%, a reduction of 45.3%.
Figure 2
Schematic diagram of
the total pores, connected pores, and isolated
pores of the 3D-REV before and after cyclical microwave modification.
(a–c) Total pores, connected pores, and isolated pores of the
unmodified sample, respectively. (d–f) Total pores, connected
pores, and isolated pores of the modified sample, respectively.
Figure 3
Porosity of the 3D-REV before and after cyclical microwave
modification.
Schematic diagram of
the total pores, connected pores, and isolated
pores of the 3D-REV before and after cyclical microwave modification.
(a–c) Total pores, connected pores, and isolated pores of the
unmodified sample, respectively. (d–f) Total pores, connected
pores, and isolated pores of the modified sample, respectively.Porosity of the 3D-REV before and after cyclical microwave
modification.This phenomenon indicated that
microwave radiation had an obvious
effect on the generation, expansion, and connection of micron-sized
pores and fractures, which could be attributed to several factors.
Images were obtained using micro-CT scanning at the same positions
before and after three cycles of microwave modification, as shown
in Figure . New micron-scale
pores developed in zone A1, and the micron-scale pores and fractures
in zone A2 became wider. The main reason for these changes was that
the moisture in pores quickly evaporates and expands when stimulated
by microwave radiation; this behavior may open some closed pores.
The residual water in the coal matrix and part of the water bound
to the minerals evaporate and is removed under microwave radiation;
the high-pressure steam creates new pores, widens the original pores,
and increases the pore connectivity. It can be seen that in zone A3,
new cracks formed at the coal–mineral interfaces because the
thermal conductivities and thermal expansion coefficients differ for
coal and minerals, causing different temperature increases in coal
and minerals under microwave irradiation. In addition, the high temperature
(locally up to 369 °C after 120 s of microwave irradiation) causes
thermolysis in the macromolecular structure of coal. We can see in
zone B that some minerals that were removed under microwave irradiation
led to the formation of new micron-scale pores. The reason for the
formation of new pores may have been that the microwaves catalyzed
the chemical reaction of pyrite (FeS2) in the coal with
the surrounding H2, O2, or small molecules such
as H2O, CO, and CO2 adsorbed in the coal; these
reactions may have released gases such as H2S, SO2, and carbonyl sulfide (COS).[65] Besides,
some minerals may have been displaced and fallen into the fractures
in more highly fractured regions.[38]
Figure 4
Illustration
of the expansion and development of micron-scale pores.
The gray zone, the black zone, and the white zone represent the coal
matrix, the micron-scale pores/fractures, and the minerals contained
in the coal sample, respectively.
Illustration
of the expansion and development of micron-scale pores.
The gray zone, the black zone, and the white zone represent the coal
matrix, the micron-scale pores/fractures, and the minerals contained
in the coal sample, respectively.
Quantitative Characterization of Connected
Pores and Throats before and after Cyclical Microwave Modification
The pores and throats of connected pores in the 3D-REV were characterized
quantitatively based on a pore network model (PNM).[66]Figure shows the changes in pore parameters in the 3D-REV before and after
cyclical microwave modification. The pore number, pore volume, and
pore surface area all increased at first and then decreased with increasing
pore radius. The total number of connected pores increased from 2651
to 10,020, the total volume increased from 8.9 to 45.3 mm3, and the total area increased from 609.2 to 1899.6 mm2, the increase being 278, 410, and 212%, respectively. The number
of pores with a radius of 70 μm corresponded to the maximum
in the pore size distribution before and after modification, 417 and
1394, respectively. The maximum values of the pore volume and surface
area occurred for pores with the maximum radii of 130 and 90–130
μm, respectively, after modification and 90–100 μm
(both) before modification. The increase due to modification was the
largest for the total volume of connected pores, which indicated that
some of the pores became larger under the action of microwave radiation.
The increase was larger for the total number of connected pores than
the surface area, indicating that some isolated pores developed into
connected pores during the modification process.
Figure 5
Changes in pore parameters
of the 3D-REV before and after cyclical
microwave modification. The statistical results for (a) pore quantity,
(b) pore volume, and (c) pore surface area, respectively.
Changes in pore parameters
of the 3D-REV before and after cyclical
microwave modification. The statistical results for (a) pore quantity,
(b) pore volume, and (c) pore surface area, respectively.The throat parameters can essentially reflect the connectivity
of pores. Figure shows
the throat parameters of the 3D-REV before and after cyclical microwave
modification. The number of throats increased from 6607 before modification
to 33,120 after modification; similarly, the maximum throat radius
increased from 110 to 260 μm, and the maximum throat length
decreased from 2710 to 1430 μm. The largest contributions to
the throat surface area were throats with radii of 0–100 μm
before modification and radii of 0–200 μm after modification.
The decrease in throat length and increase in throat radius and surface
area all indicated that the pore connectivity was better after modification.
Figure 6
Throat
parameters of the 3D-REV before and after cyclical microwave
modification. The statistical results for (a) throat quantity, (b)
throat length, and (c) throat surface area, respectively.
Throat
parameters of the 3D-REV before and after cyclical microwave
modification. The statistical results for (a) throat quantity, (b)
throat length, and (c) throat surface area, respectively.The pore coordination number represents the mutual configuration
relationship between pores and throats, which is numerically equal
to the number of throats connected to a pore. Figure shows the relationship between the pore
number and the pore coordination number before and after modification.
The number of pores with coordination numbers less than 10 was 2591
(98% of the total) before modification and 9427 (94%) after modification.
The maximum pore coordination number increased from 22 before modification
to 29 after modification. The number of connected pores increased
and that their connectivity improved due to cyclical microwave modification.
Figure 7
Relationship
between pore quantity and pore coordination number
before and after cyclical microwave modification.
Relationship
between pore quantity and pore coordination number
before and after cyclical microwave modification.
Change in Surface Groups on Anthracite and
Minerals in Anthracite
The surface groups and minerals can
affect the gas seepage behavior by influencing the adsorption/desorption
of methane and pore structures in anthracite. The chemical bonds in
sulfur-containing groups such as mercaptans (−SH), thioethers
(−S−), and thiophenes (−C4H4S) in the coal macromolecular structure break when they resonate
with the electromagnetic microwaves, and some alkyl side chains and
oxygen-containing functional groups in coal are pyrolyzed and released
as gas.[65]Figure shows the FTIR results for surface groups
on anthracite samples before and after cyclical microwave modification.
The peaks near 2925 and 2855 cm–1 are identified
as the stretching vibrations of −CH2 and −CH3, respectively.[67,68] The peaks near 2515
and 460 cm–1 are attributed to the vibrations of
S–H.[69] The peak at 1600 cm–1 corresponds to the vibrations of C=O and C=C.[70] The peak at 1430 cm–1 is identified
as the bending vibration of −CH3 and the antisymmetric
stretching vibration of carbonate groups.[32] The peak near 1030 cm–1 is attributed to the stretching
vibrations of Si–O–Si and Si–O–C.[33] The peak near 540 cm–1 corresponds
to the vibrations of S–S.[33] The
adsorption peaks near 2925, 2855, and 1430 cm–1 are
slightly smaller for modified samples than unmodified samples, indicating
that some of the methyl and methylene groups were removed and the
adsorption capacity of coal was weaker.[71] The decrease in CH4 adsorption indicated that the gas
seepage performance in coal was improved because of the coal matrix
shrinkage effect.[72,73] The intensities of absorption
peaks near 2515, 1030, 540, and 460 cm–1 decreased
notably after modification of the samples, indicating that microwave
radiation broke some sulfur-containing bonds and decomposed some minerals,
such as sulfur, carbonate, and silicate. The decomposition of minerals
would increase the pores in anthracite. This phenomenon is also observed
in the micron-scale pores and fractures shown in Figure (zone B).
Figure 8
FTIR spectra of anthracite
samples before and after cyclical microwave
modification.
FTIR spectra of anthracite
samples before and after cyclical microwave
modification.
Application
and Significance
Microwaves can heat the reservoir rapidly
within the distance that
microwaves penetrate. The penetrability and controllability of microwaves
make their heating efficiency higher and more convenient than traditional
conduction heating. More importantly, the whole modification process
causes limited pollution of the environment. Therefore, in the field
of engineering applications, the cyclical microwave modification method
can not only inhibit methane adsorption and accelerate methane seepage
but also make a significant contribution to environmental protection.Figure shows a
schematic diagram of the method for accelerating CBM extraction by
microwave radiation combined with water injection. Microwave treatment
and water injection are performed alternately by the system. High-pressure
steam produced by rapid vaporization of water by microwaves can cause
cracks to grow rapidly and relieve water locking damage caused by
water injection. The cyclical temperature impact makes the coal reservoir
expand and contract repeatedly, which is conducive to the development
of pores and fractures. Yang and Liu[15] used
experiments and modeling to study the changes in the pore structure
of coal that were induced by cyclic nitrogen injections, they found
that the total volume of mesopores (2–50 nm) and macropores
(>50 nm) increased with cryogenic treatment, while the growth rate
of pore volume decreased with increasing numbers of freeze–thaw
times.
Figure 9
Schematic diagram of enhanced CBM extraction by microwave radiation
combined with water injection.
Schematic diagram of enhanced CBM extraction by microwave radiation
combined with water injection.
Conclusions
For accelerating CBM extraction, the
influence of cyclical microwave modification on the apparent permeability
of anthracite in Sihe mine, China, was studied, and the change in
microscale pore structures, surface groups, and minerals in anthracite
before and after microwave modification was measured.With the increase in cyclical microwave
modification times, the apparent permeability of anthracite increased
continuously due to the continuous increase in the quantity and connectivity
of micron-scale pores.The gasified release of alkyl side
chains on anthracite surface reduced the CH4 adsorption
capacity, and the decomposition of mineral materials in anthracite
increased the micron-scale pores.The changing law of anthracite apparent
permeability after three times of single power microwave modification
has been researched. The effect of cyclical microwave modification
on various metamorphic degree coals with different electric powers
and different cycles will be further studied to achieve more parameters
for in situ engineering application.
Experimental Section
Sample Preparation
The anthracite
coal samples for the cyclical microwave treatment experiment were
obtained from the 15,303 freshly exposed working face of the Sihe
mine of the Qinshui coalfield, Shanxi Province, China. The large lumps
of coal were carefully selected and immediately packed in plastic
wrap and sealed in bags, and then, they were sent to the laboratory
as soon as possible to avoid changes in their physicochemical properties
due to oxidation. The coring direction was perpendicular to the bedding
of the large lumps of coal, and the cylindrical samples were polished
to a size of 50 mm diameter and 50 mm height. In addition, powdered
samples with a size of 60–80 mesh were prepared. The mean maximum
vitrinite reflectance (Ro,max), the proximate
analysis, the elemental composition, and the maceral composition of
the anthracite were determined following the standards GB/T 6948-2008,
GB/T 212-2008, GB/T 476-2001, and GB/T 8899-2013, respectively.[32,33] The analysis results are listed in Table .
Table 1
Petrologic Characteristics,
Elemental
Composition, and Proximate Analysis of Coal Samplesa
proximate analysis (wt %)
ultimate analysis (%, daf)
maceral groups (vol %)
samples
Ro,max (%)
moisture,
ad
ash yield,
ad
volatile
matter, daf
C
H
O
S
vitrinite
inertinite
liptinite
anthracite
2.86
1.65
5.21
6.12
86.52
2.64
6.83
3.32
86.3
13.7
0.0
ad: air dried basis; daf: dry ash-free
basis.
ad: air dried basis; daf: dry ash-free
basis.
Experimental
Apparatus
The tests
of apparent permeability of the anthracite samples before and after
cyclical microwave modification were conducted using a self-built
permeability-testing platform. Figure shows the schematic of the experimental
apparatus. The device is mainly composed of a vacuum-pumping system,
a confining pressure-loading system, an inlet/outlet system, and a
measuring system. Before the test, the coal samples and the porous
metal gaskets at both ends were placed together in the sealing sleeve
and were sealed between the base and the axial piston with two sealing
rings.
Figure 10
Schematic of the seepage experiment apparatus.
Schematic of the seepage experiment apparatus.The cyclical microwave modification experiment of the anthracite
samples was carried out in a P70F20CL-DG(B0) microwave oven produced
by Guangdong Galanz company. The dimensions of the resonator in the
oven were 180 mm high, 315 mm wide, and 329 mm deep. The frequency
of the microwave oven was 2.45 × 109 ± 50 Hz.
The maximum power was 700 W and could be adjusted.The micro-CT
scanning of the anthracite samples was conducted with
a nanoVoxel-4000 open tube reflective high penetration CT system produced
by Sanying Precision Instruments Co., Ltd. The scanning voltage was
150 kV, the scanning current was 150 μA, the exposure time was
3.5 s, and the spatial resolution was 19.6 μm. Sixteen-bit images
with 3000 × 3000 × 3000 voxels were obtained after the whole
sample was scanned and processed.The analysis of the surface
groups of the anthracite samples was
performed using a Nicolet iS5 FTIR instrument produced by Thermo Fisher
company. The detection spectral range of the instrument was 350–7800
cm–1. The resolution and accuracy of the instrument
were better than 0.5 and 0.01 cm–1, respectively,
and the signal-to-noise ratio was 40,000:1. Before the test, the dried
fine anthracite particles and potassium bromide (KBr) were fully ground
in an agate bowl at a ratio of 1:150 wt %; then, this powder was loaded
into a mold, and tablets were pressed under a pressure of 10 MPa.
Experimental Process
Figure shows the schematic of the
cyclical microwave modification experimental procedure. Before the
experiment, the powdered anthracite samples were dried to a constant
weight in a vacuum-drying oven at 373–378 K. First, the micro-CT
scanning and permeability measurements of the cylindrical raw anthracite
sample were carried out. At the same time, the infrared spectrum of
anthracite powder was measured. Second, the sample was irradiated
in the microwave oven for 120 s with a power of 700 W. Then, the micro-CT
scans, seepage measurements, and FTIR measurements were repeated with
the modified sample. According to this procedure, the experiment was
completed after three microwave modification cycles. The temperature
of the sample was detected using an AS852B infrared thermometer produced
by Smart sensor company. The temperature detection range was −50–750
°C with an accuracy of ±2%, a resolution of 0.1 °C,
and a response time of 500 ms.
Figure 11
Schematic of the cyclical microwave modification
experimental procedure.
Schematic of the cyclical microwave modification
experimental procedure.
Permeability
Data
The apparent permeability
of anthracite can be calculated using eq .[74]where ka is the
apparent permeability of the anthracite sample (10–3 μm2), q is the flow rate of the
CH4 (cm3/s), μ is the dynamic viscosity
of the CH4 at a pressure of (P1 + P2)/2 (mPa·s), L is the length of the anthracite sample (cm), A is
the cross-sectional area of the anthracite sample (cm2), P0 is the standard atmospheric pressure (MPa), P1 is the methane pressure at the inlet (MPa),
and P2 is the methane pressure at the
outlet (MPa). The confining pressure was set at 2 MPa, and the outlet
pressure was set at atmospheric pressure. The inlet pressure was set
at 0.5, 0.9, 1.5, 1.9, and 2.5 MPa, respectively. Effective stress
is the difference between the confining stress and the average pore
fluid pressure[70]where σe is the effective
stress (MPa), σc is the confining stress (MPa), P is the average pore fluid pressure (MPa), and α
is the effective stress coefficient (dimension-less, approximate to
1).The relationship between the effective stress and confining
pressure, inlet pressure, and outlet pressure is listed in Table . The calculation
method is consistent with Li et al.[75]
Table 2
Calculation Results of Effective Stressa
P1 (MPa)
P2 (MPa)
P (MPa)
σc (MPa)
σe (MPa)
0.5
0.1
0.3
2
1.7
0.9
0.1
0.5
2
1.5
1.5
0.1
0.8
2
1.2
1.9
0.1
1.0
2
1.0
2.5
0.1
1.3
2
0.7
P1:
inlet pressure; P2 outlet pressure; P: average pore fluid pressure; σc: confining
stress; and σe: effective stress.
P1:
inlet pressure; P2 outlet pressure; P: average pore fluid pressure; σc: confining
stress; and σe: effective stress.
Image Processing
The 3D images before
and after cyclical microwave modification were reconstructed to visualize
and analyze the changes in the internal pore-fracture characteristics.
The brightness and contrast of the images were adjusted to the appropriate
ranges. Then, processes for denoising and enhancement were carried
out, and edge detection and binarization segmentation were conducted.
The coal matrix, minerals, and pores were divided by interactive thresholding
combined with an interactive top-hat transform.The 3D-REV is
a small cube that can reflect the pore structure of the whole coal
sample. More petrophysical properties of coal samples can be reflected
when more voxels are contained in the 3D-REV. However, the selected
3D-REV cannot be too large due to the limited computing capacity.[76]Figure shows the change in porosity of the cube with the change
in side length (voxels) before and after cyclical microwave modification
with point 1 (800, 800, 800), point 2 (1500, 1500, 1500), and point
3 (2200, 2200, 2200) as central points. When the side length was greater
than 280 voxels, the porosity tended to be a certain value and was
approximately equal to the porosity of the whole sample. In this study,
a cube with point 2 (1500, 1500, 1500) as the center point and a side
length of 500 voxels (9.8 mm) was selected as the 3D-REV, as shown
in Figure . The
3D-REV was divided into 500 layers along the vertical Z-axis direction, and the porosity of each XY section
was calculated to observe the internal pore structure of the 3D-REV
more accurately, as shown in Figure . The total pores and connected pores of all XY planes increased irregularly after cyclical microwave
modification, which was caused by the heterogeneous distribution of
molecular structures, water, and minerals in the coal.
Figure 12
Change in
cube porosity with side length at different central positions.
Figure 13
3D-REV of coal samples before and after cyclical microwave
modification.
(a) Unmodified and (b) modified. The yellow, red, and green zones
represent the coal matrix, the pores/fractures, and the minerals,
respectively.
Figure 14
Porosity distribution of the 3D-REV along
the Z-axis. (a) Total pores. (b) Connected pores.
Change in
cube porosity with side length at different central positions.3D-REV of coal samples before and after cyclical microwave
modification.
(a) Unmodified and (b) modified. The yellow, red, and green zones
represent the coal matrix, the pores/fractures, and the minerals,
respectively.Porosity distribution of the 3D-REV along
the Z-axis. (a) Total pores. (b) Connected pores.The PNM was used to quantitatively characterize
the pore and throat
parameters before and after cyclical microwave modification. The PNM
uses regular shapes to characterize the complex space in coal or rock.
In this model, the maximal inscribed sphere algorithm was used to
idealize the connected pores into two parts: pores and throats. Figure shows the PNM
of the 3D-REV before and after cyclical microwave modification. The
calculation method was consistent with Silin and Patzek,[77] Al-Kharusi and Blunt,[78] Ngom et al.,[79] Lin et al.,[66] and Zhao et al.[80]
Figure 15
PNM of the 3D-REV before and after cyclical microwave modification.
(a) Unmodified and (b) modified.
PNM of the 3D-REV before and after cyclical microwave modification.
(a) Unmodified and (b) modified.