Junqing Guo1, Xiaoyu Zhang2,3, Chunsheng Lu4, Zhaoyun Chai1, Guanxian Kang5, Guofei Zhao1, Tianhe Kang1, Shirui Zhang6, Hengzhong Li6. 1. Key Laboratory of in Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, People's Republic of China. 2. Research Institute of Mine Big Data, China Coal Research Institute, Beijing 100013, People's Republic of China. 3. State Key Laboratory of Coal Mining and Clean Utilization, Beijing 100013, People's Republic of China. 4. School of Civil and Mechanical Engineering, Curtin University, Western Australia 6845, Australia. 5. College of Safety and Emergency Management Engineering, Taiyuan University of Technology, Taiyuan, 030024, People's Republic of China. 6. Shanxi Guoyuan Coalbed Methane Comprehensive Utilization Engineering Technology Co., LTD, Taiyuan, 030032, People's Republic of China.
Abstract
Quantitative characterization of the change in the cleat and pore structures and fractal dimensions in anthracite after electrochemical modification is crucial for better understanding of the modification effect. Thus, lump anthracite samples were electrochemically modified in our manufactured device with 0, 0.5, 1, and 2 V/cm potential gradients. The changes in heterogeneity and porosity after modification were tested and analyzed by mercury intrusion porosimetry (MIP) and fractal theory. The results indicated that the total volume of the pores increased after electrochemical treatment and continuously increased with increasing potential gradient during the treatment process. After modification, the number of pores or fractures with a pore size between 6 and 20 μm in coal after modification increases significantly. According to the intrusion pressure, three stages were defined as lower (P M < 0.1 MPa), intermediate (0.1 ≤ P M < 10 MPa), and higher regions (P M ≥ 10 MPa), which are characterized by fractal dimensions D 1, D 2, and compression stages, respectively. After modification, the fractal dimension D 1 showed an increasing trend, while the fractal dimension D 2 showed a decreasing trend, indicating that the fracture system became more complicated and that the pore system became more regular after electrochemical treatment. The evolution mechanism of heterogeneity and porosity and their fractal dimensions were explained by the dissolution of minerals, change in pH values, and dynamics of temperatures during the process of modification. The results obtained in this work are of important guiding significance for coalbed methane (CBM) extraction via in situ modification by electrochemical treatment.
Quantitative characterization of the change in the cleat and pore structures and fractal dimensions in anthracite after electrochemical modification is crucial for better understanding of the modification effect. Thus, lump anthracite samples were electrochemically modified in our manufactured device with 0, 0.5, 1, and 2 V/cm potential gradients. The changes in heterogeneity and porosity after modification were tested and analyzed by mercury intrusion porosimetry (MIP) and fractal theory. The results indicated that the total volume of the pores increased after electrochemical treatment and continuously increased with increasing potential gradient during the treatment process. After modification, the number of pores or fractures with a pore size between 6 and 20 μm in coal after modification increases significantly. According to the intrusion pressure, three stages were defined as lower (P M < 0.1 MPa), intermediate (0.1 ≤ P M < 10 MPa), and higher regions (P M ≥ 10 MPa), which are characterized by fractal dimensions D 1, D 2, and compression stages, respectively. After modification, the fractal dimension D 1 showed an increasing trend, while the fractal dimension D 2 showed a decreasing trend, indicating that the fracture system became more complicated and that the pore system became more regular after electrochemical treatment. The evolution mechanism of heterogeneity and porosity and their fractal dimensions were explained by the dissolution of minerals, change in pH values, and dynamics of temperatures during the process of modification. The results obtained in this work are of important guiding significance for coalbed methane (CBM) extraction via in situ modification by electrochemical treatment.
In recent years, unconventional
resources such as coalbed methane
(CBM), shale gas, and tight sandstone gas have attracted widespread
attention, and the exploitation theory and technology are developing
rapidly.[1] However, commercial gas production
has been hampered by the low permeability of coal seams in China.[2,3] Thus, permeability-improving methods, including protective seam
mining,[4] hydraulic fracturing,[5,6] hydraulic cutting,[7,8] microwave modification,[9] and blasting-induced fracturing,[10,11] increase massive fractures in coal seams, which greatly reduce gas
pressure in the early stage of extraction and improve the gas extraction
rate. However, extraction is difficult in the later stage because
of little variation in gas pressure and a lack of driving force,[12] and the generated coal fines block fractures
and boreholes and further cause permanent damage to permeability.[13] In addition, the lump coals cut by cracks are
still large, and some studies indicate that even an inch of lump coal
requires months or years to release most of its gas.[14,15] Eddy et al. reported that the residual gas content can be as high
as 38%.[16]To accelerate CBM extraction,
Kang reported an exploratory study
on intensifying methane desorption and seepage from coal modified
by electrochemical treatment.[17] Zhang et
al. found that the amount of adsorbed CH4 on coal samples
decreased after electrochemical modification due to the change in
functional groups on the coal surface.[18] Guo et al. found that the average desorption rate of methane from
130 to 140 mm lump coal after electrochemical treatment increased
by 1.68 times, reaching desorption equilibration.[19] The desorption ratio and diffusion coefficient of CH4 on Jincheng anthracite increased after electrochemical modification
in ion electrolytes.[20] In addition, Kang
and Zhang et al. both found that the pores and fractures increased
after electrochemical treatment of electrolytic dissolution of minerals
and electrophoresis migration of charged particles such as coal powder
and clay, which provides a gas migration pathway.[21,22] Additionally, the adsorbed gas can be stripped from the coal surface
and driven by electro-osmosis and heat, which provides an impetus
for gas migration. Mercury intrusion porosimetry (MIP), low-pressure
nitrogen gas adsorption (LP-N2GA), and CO2 adsorption
have been used to characterize the macropores, mesopores, and micropores
in the coal matrix, as well as the secondary porosity composed of
cleats.[22−25] The total porosity of coal varies with the coal rank[26,27] and can be up to 20%, exceptionally as high as 50% due to the development
of microfractures in high-rank coal.[28,29] Li et al.
observed the nanoscale pore structures of coals by combined atomic
force microscope (AFM) and SEM technologies and reported that it is
effective in revealing pore structures and mechanical properties.[30] Li et al. reported that, for CO2 displacing
CH4, more CO2 can be adsorbed on the nanoscale
pore surface of coal, resulting in higher CH4 desorption.[31] The pore structures change after electrochemical
modification (mentioned above) discussed mainly the evolution of surface
area, pore volume, and pore size, but the quantitative characterization
of the change of pore fractal dimensions still needs better understanding.The fractal dimension (D), a dimensionless index,
is used to quantify the complexity of the pore/fracture distribution.[32] Combining LP-N2GA test data and MIP
test results, Steele and Angulo et al. reported the Frenkel–Halsey–Hill
(FHH) model and fractal dimension of pore structures in coals.[33,34] Sarkar and Chaudhuri proposed that the heterogeneity of pore distribution
can also be obtained by digital images by scanning electron microscopy
(SEM) and CT.[35] The change in fractal characteristics
of pores in coals after cyclical modification has been achieved by
Su et al. with nuclear magnetic resonance techniques and LP-N2GA, and the results showed that the fractal dimensions of
the adsorption pores decreased after modification.[36]However, research on the effects of electrochemical
modification
on the pore structures and fractal dimensions of lump anthracite is
limited. In this work, we electrochemically modified lump anthracite
samples with 0, 0.5, 1, and 2 V/cm electric potential gradients. The
pore structures and fractal dimensions of lump anthracite samples
before and after modification were tested by MIP and SEM techniques.
The pores were reclassified into four zones according to their degree
of complexity, which was reasonable to characterize the pore structures
of electrochemically modified lump anthracite. On the basis of fractal
theory, the changes in heterogeneity and porosity were further analyzed.
Results and Discussion
Mercury Intrusion Curves
Figure shows the
mercury
intrusion curves of lump anthracite samples before and after electrochemical
treatment. The maximum mercury intrusion of raw coal samples was 0.28
cm3/g, increasing to 0.35 cm3/g after immersion
in a Na2SO4 electrolyte for 120 h (Figure a), and further increasing
to 0.39, 0.43, and 0.47 cm3/g after modification with 0.5,
1, and 2 V/cm electric potential gradients in the anode zone (Figure b), increasing by
39.3%, 53.6%, and 67.9%, respectively. Figure c and d also show that the maximum mercury
intrusion increases after electrochemical modification and further
increases with increasing electric potential gradients. In addition,
the modification effect at the cathode zone is most obvious, followed
by the intermediate zone and the anode zone. The MIP test results
indicate that the total volume of the pores increased after electrochemical
treatment and continuously increased with increasing potential gradient
during the treatment process.
Figure 1
Mercury intrusion curves of lump anthracite
samples before and
after electrochemical treatment: (a) raw and soaked sample, (b) modified
samples at the anode zone, (c) modified samples at the intermediate
zone, and (d) modified samples at the cathode zone.
Mercury intrusion curves of lump anthracite
samples before and
after electrochemical treatment: (a) raw and soaked sample, (b) modified
samples at the anode zone, (c) modified samples at the intermediate
zone, and (d) modified samples at the cathode zone.
Change of Pore Size Distribution
Figure shows the
pore size distributions of raw anthracite, soaked anthracite, and
modified anthracite with different electric potential gradients in
the anode zone, intermediate zone, and cathode zone. As seen from Figure a, with decreasing
pore width, the pore volume of raw anthracite increases sharply and
reaches a peak value at a pore size of approximately 91.2 μm
(A1), while the pore volume decreases sharply and reaches a low value
at a pore size of approximately 20 μm (B1), and the pore volume
increases slightly when the pore size is greater than 0.1 μm.
After soaking in Na2SO4 solution for 120 h and
drying at 378–383 K, there are two new peak values at pore
sizes of approximately 44.6 and 6.6 μm (C2 and B2, respectively),
indicating that the number of pores and fractures in soaked coal increases.
The same results were also found by Xia et al.,[37] who observed new holes on the anthracite coal surface via
SEM images. Figure b, c, and d show the pore size distributions of coal samples modified
in the anodic, intermediate, and cathodic zones, respectively. After
electrochemical modification, the number and value of pore volume
peaks increased. The values of the A1 peak of raw anthracite coal
increased from 0.289 cm3/g to 0.35–1.06 cm3/g, and the pore width increased from approximately 91.2 μm
to 120–165 μm, which indicated that the number of fractures
obviously increased.[19] After modification,
the new peaks at pore sizes ranging from 6 to 50 μm indicate
that the number of pores or fractures with a pore size between 6 and
20 μm in coal after modification increases significantly.[38]
Figure 2
Pore size distribution of coal samples modified with 0
V/cm (a)
and 0.5, 1, and 2 V/cm at the anode zone (b), intermediate zone (c),
and cathode zone (d).
Pore size distribution of coal samples modified with 0
V/cm (a)
and 0.5, 1, and 2 V/cm at the anode zone (b), intermediate zone (c),
and cathode zone (d).
Change
of Fractal Dimension
The Menger
sponge model is suitable for calculating the fractal dimension D of pores based on mercury injection tests.[39−41] According to the Washburn equation, the radius r of pores filled with mercury at pressure PM is expressed as[42]where σ is the surface tension
of mercury
(0.48 N/m) and θ is the mercury–coal contact angle (130°).
The relationship between the pore size distribution dV/dr and the fractal
dimension D is[43]Combining eqs and 2, we get:That
iswhere VM is the
volume of cumulative mercury injection, which is approximated by pore
volume in cm3/g; PM is the
pressure of mercury injection, MPa; and r is the
radius of pores, μm. Figure shows the fractal region curves of lump anthracite
samples using the Menger sponge model. All of the curves were divided
into three regions: lower (PM < 0.1
MPa) and intermediate (0.1 ≤ PM < 10 MPa), which are characterized by D1 and D2, respectively. Although
the higher regions (PM ≥ 10 MPa)
had strong piecewise fractal characteristics, the fractal dimensions
of the pores underwent a drastic change to values higher than 3. A
similar conclusion was also found by Toda and Toyoda, and Zwietering
and Krevelen reported that the phenomenon can be attributed to the
compressibility of the coal samples.[44,45]
Figure 3
Relationship
between log(dVM/dPM) and log(PM) based
on anthracite sample MIP data after electrochemical modification with
0 V/cm (a) and 0.5, 1, and 2 V/cm at the anode zone (b), intermediate
zone (c), and cathode zone (d).
Relationship
between log(dVM/dPM) and log(PM) based
on anthracite sample MIP data after electrochemical modification with
0 V/cm (a) and 0.5, 1, and 2 V/cm at the anode zone (b), intermediate
zone (c), and cathode zone (d).The change in anthracite fractal dimensions (D1 and D2) after electrochemical
modification with different electric potential gradients at the anode
zone, intermediate zone, and cathode zone is shown in Figure . As shown in Figure , the fractal dimension D1 was comparatively low and showed an increasing
trend after electrochemical modification, while the fractal dimension D2 showed a decreasing trend. The comparatively
low fractal dimension of D1 indicates
that the fractures in anthracite are developed in an orderly manner.
Similar results were also illustrated in previous work that anthracite
coal has a mutually orthogonal and fully developed structure of fractures,
which was observed by optical microscopy.[46] The fractal dimension D2 is 2.86, which
is consistent with the calculation result of Zhao et al.[47] that the range of fractal dimensions is 2.27–2.97,
and the pore structure of tested anthracite coal is relatively complicated.
After modification, the fractal dimensions D1 approximately showed an increasing trend with increasing
electric potential gradients, while the fractal dimensions D2 showed a decreasing trend, which indicates
that the fracture system became more complicated and the pore system
became more regular after electrochemical treatment because the filled
minerals in fractures are dissolved and macropores are formed.
Figure 4
Change of fractal
dimension after electrochemical modification
at different anthracite zones: (a) anode zone, (b) intermediate zone,
and (c) cathode zone.
Change of fractal
dimension after electrochemical modification
at different anthracite zones: (a) anode zone, (b) intermediate zone,
and (c) cathode zone.In the higher-pressure
regions (PM ≥
10 MPa), there is a rectilinear relationship between high pressure
and the volume of mercury intrusion. The intercept at the ordinate
of the linear fitting results represents the pore volume that excludes
compressibility, and the change in intercept after modification is
shown in Figure .
The volume of injected mercury at pressure 0.2 MPa is the cleat volume,
and the pore volume of the coal matrix can be calculated by eq . The compressibility
of the original and soaked samples was 1.342 × 10–4 and 1.414 × 10–4 MPa–1,
respectively. After modification, the compressibility changes to (0.91–1.698)
× 10–4 MPa–1. In general,
the compressibility of the sample modified in the anodic zone decreases,
while the compressibility of the sample modified in the intermediate
and cathodic zones increases because the electrophoresis treatment
is more obvious in the intermediate and cathodic zones, which migrates
the coal particles and clay and makes the coal matrix disperse. Guo
et al.[46] also found a positive relationship
between the porosity and coal matrix compressibility. Combined with
the analysis in section and the fact that the incremental instruction is very low when the
pore size is larger than 6 μm, the increase in pore volume is
due primarily to mercury intrusion into the cleats >25 μm
wide,
cleats ranging in width from 6 to 25 μm, and coal matrix pores
ranging in aperture from 100 nm to 6 μm at lower, low, and intermediate
pressures, respectively. Gamson et al.[48] also found that the cleats in coal are commonly 5–20-μm-wide
and infilled by minerals using SEM.
Figure 5
Linear fitting results of intercept and
slope at the anode zone
(a), intermediate zone (b), and the cathode zone (c) and true density
and compressibility (d).
Linear fitting results of intercept and
slope at the anode zone
(a), intermediate zone (b), and the cathode zone (c) and true density
and compressibility (d).
Effect
of Electrochemical Treatment on the
Porosity of Anthracite Coal
Table shows the pore structure parameters of the
raw coal and modified coal samples. The cleat volume, average cleat
width, and cleat porosity of the original sample are 0.129 mL/g, 27.51
μm, and 15.2%, respectively, similar to the research results
of other scholars.[27,28] In addition, the average diameter
of pores ranging from 100 nm to 6 μm is 114 nm, and the coal
matrix porosity is 0.12%, indicating that endogenous fractures (cleats)
in anthracite occupy a considerable proportion of the total porosity.
After soaking in Na2SO4 solution and drying,
the average cleat width of coal increase to 38.73 μm, which
increases the cleat porosity to 19.24%, and the average pore size
of the coal matrix increases to 308 nm, which increases the matrix
porosity to 0.42%. After modification, the average cleat diameter,
cleat porosity, coal matrix porosity, and average pore size of the
modified samples increase to 51.97–69.86 μm, 398–827
nm, 20.92–37.01%, and 0.56–1.2%, respectively, indicating
that the cleat porosity and coal matrix porosity of the sample obviously
increase by electrochemical modification and are positively related
to the potential gradient.
Table 1
Pore Structure Parameters
of Coal
Samples before and after Modification
coal samples
cleat volume (m/g)
average cleat
width (μm)
cleat porosity
(%)
pore volume (m/g)
average pore
width (nm)
porosity
(%)
raw coal
0.1290
27.51
15.20
0.0012
114
0.12
soaked coal
0.1649
38.73
19.24
0.0043
308
0.42
S3a
0.1835
68.09
26.15
0.005
437
0.56
S4a
0.2035
61.79
29.87
0.0061
530
0.69
S5a
0.2234
61.21
30.57
0.0062
398
0.65
S3i
0.1396
51.97
20.92
0.0059
827
0.73
S4i
0.2867
60.35
33.24
0.0087
497
0.76
S5i
0.2901
58.51
36.92
0.0096
592
0.87
S3c
0.2332
60.51
28.22
0.0086
731
0.81
S4c
0.2447
63.18
34.02
0.0087
564
0.90
S5c
0.3217
69.86
37.01
0.0153
765
1.20
Modification Mechanism Discussion of Anthracite
Pore Structure
Figure shows the SEM images of the dissolution and disappearance
of minerals filled in the fractures of coal in the anodic and immediate
zones before and after electrochemical treatment and the appearance
of fractures of coal in the cathodic zone. Figure a shows that two fractures with widths of
10–30 μm cross each other at an approximately 80°
angle, and the cleat is filled with minerals, such as carbonate and
sulfide. After treatment, the minerals disappear (shown in Figure b). The carbonate
in the cleats is dissolved by hydrogen ions produced in the anodic
zone during electrochemical processes because of the oxidation reaction.[50] The reaction equation is as follows:Figure c and d show SEM
images of the disappearance of minerals filled
in cleats and pores of coal in the immediate zone before and after
treatment. Figure c shows that there is a mineral-filled cleat with a width of 1–20
μm, and some minerals are embedded in the coal matrix. Gamson
et al.[45] measured the microstructures in
coals using SEM and observed that there are five types of microfractures
recognized between the larger cleats: vertical cleats, horizontal
cleats, blocky fractures, conchoidal fractures, and striae. These
microfractures are often mineralized. After treatment, the microfractures
and pores were unblocked (see Figure d) due to the electrolysis dissolution and electrophoresis
migration of minerals.[18] The emergence
of these microfractures can build pathways for gas migration from
pores to fractures. Figure e and f show SEM images of the appearance of fractures of
coal in the cathodic zone. Figure e shows that the coal matrix surface is tight and flat.
After treatment, mesh fractures with widths of 5–50 μm
appeared on the coal surface (see Figure f), which may be due to the removal of coal
or clay particles in the coal matrix in the action of electrophoresis
or washing out by the electrolyte in the action of electroosmosis.
Figure 6
SEM images
of the dissolution and disappearance of minerals filled
in cleats of coal in the anode zone (a and b) and intermediate zone
(c and d) and the appearance of fractures of coal in the cathode zone
(e and f).
SEM images
of the dissolution and disappearance of minerals filled
in cleats of coal in the anode zone (a and b) and intermediate zone
(c and d) and the appearance of fractures of coal in the cathode zone
(e and f).
Conclusions
To accelerate the CBM exploration process, the application of electrochemical
modification makes the pore system of the lump anthracite more regular
and the fracture system more complex, and the modification effect
becomes more obvious with increasing potential gradient.After
modification, the porosity and the cleats with widths of
9 and 20 μm obviously increase due to the dissolution of carbonate
in the cleats, and the coal/clay particles in the coal matrix in the
cathodic zone are washed out by electrophoresis and electroosmosis.The effect of modification with different potential gradients on
Qinshui Basin anthracite coal is discussed above, which is not enough
for the guiding of CBM extraction. More of the effect of electrochemical
modification parameters like electrode materials and electrolyte types
on coal pore and fracture structures and more test means for the characterization
of pore and fracture structures like CO2/N2 adsorption
and small X-ray scattering will be analyzed in future research.
Experimental Section
Coal Sample
The
anthracite used was
collected from the No. 15 coal seam in the southeastern Qinshui Basin
from the Sihe Coal Mine (Shanxi Province, China). Table and Table summarize the sample details, including
petrologic and chemical analyses. Sampling has to be based on vitrinite
band. Some cubes with side lengths of approximately 1 cm were processed
from the samples to document microstructures in at least three principal
planes: the face cleat, the butt cleat, and the bedding. The sample
cubes had a total mass of 2.5 kg and were divided randomly into five
groups for electrochemical modification at different potential gradients.
Table 2
Coal Properties
analysis
wt %
ultimate analysis %
maceral composition %
coal sample
vitrinite
reflectance %
moisture
ash yield
volatile
matter
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
Table 3
Composition
of the Ash Yield
ash composition %
coal sample
SiO2
Al2O3
CaO
Fe2O3
SO3
MgO
TiO2
Na2O
P2O5
anthracite
24.83
22.14
11.87
26.27
10.81
0.9
0.09
0.19
0.13
Experimental Apparatus
The electrochemical
modification equipment shown schematically in Figure is composed of a direct current (DC) power
source, current meter, wire, electrolyzer, electrolyte, electrodes,
and coal samples. The output voltage of the DC power source is 0–250
V. The electrolyte is a solution of Na2SO4.
The electrode is a square graphite sheet with a thickness of 5 mm
and side lengths of 100 mm.
Figure 7
Diagram of electrochemical modification equipment.
Diagram of electrochemical modification equipment.
Experimental Schemes
To investigate
the change in the pore-fracture structure of the samples under different
electrochemical treatments, 11 experimental schemes were designed,
as shown in Table . Scheme S1 was used to investigate the pore-fracture
structure of the original sample. Scheme S2 was used to
investigate the pore-fracture structure with electrolyte soaking and
power off, and schemes S3a–S5c were used
to investigate the pore-fracture structure after modification under
different electric gradients from 0.5 to 2 V/cm.
Table 4
Experimental Schemes
scheme
coal sample
potential
gradient (V/cm)
time (h)
He denisity
(g/cm3)
S1
raw coal
1.5501
S2
soaked coal
0
120
1.5415
S3a
modified
coal at anode zone
0.5
120
1.5269
S4a
modified coal at anode zone
1
120
1.5161
S5a
modified
coal at anode zone
2
120
1.5283
S3i
modified coal at intermediate
zone
0.5
120
1.4933
S4i
modified coal at intermediate
zone
1
120
1.5344
S5i
modified coal at intermediate
zone
2
120
1.5265
S3c
modified coal at cathode
zone
0.5
120
1.5175
S4c
modified coal at cathode
zone
1
120
1.5095
S5c
modified coal at cathode
zone
2
120
1.5160
Experimental Process
The samples
were modified with the experimental apparatus, according to the experimental
schemes shown in Table . In the process of modification, the pH values and temperature of
the electrolyte in the anodic, intermediate, and cathodic zones were
measured using a pH meter and thermometer, respectively. After 120
h, the samples were labeled S, S, and S sequentially
according to anodic, intermediate, and cathodic zones, where n is 3, 4, and 5. In addition, the original sample and modified
sample were labeled S1 and S2, respectively. Then, the samples were cleaned with distilled water and dried
in an oven at 378–383 K until a constant weight was achieved.
True densities of the samples were measured by helium displacement
using a Quantachrome UltraPyc 1000 helium pycnometer, and the helium
density results are shown in Table .
Experimental Phenomenon
In the process
of modification, an oxidizing reaction occurs at the anode where oxygen
is formed, and a reduction reaction occurs at the cathode where hydrogen
is formed. The reaction equations are as follows:Because of the electrolytic reaction, the
electrolyte pH in the anodic zone decreases while the pH in the cathodic
zone increases. The H+ ions travel to the cathode, and
the OH– ions travel to the anode under the action
of an electric field. The electrolyte pH in the intermediate zone
is between the pH in the anodic and cathodic zones. The electrolyte
pH values in the three zones in schemes 3–11 after modification
are shown in Figure and were 2.1–3.2, 6–8.3, and 8.3–11.2.
Figure 8
pH of three
zones of electrolyte in different schemes after modification.
pH of three
zones of electrolyte in different schemes after modification.Figure shows the
brown precipitate produced in the process of modification of coal
samples in the cathodic zone. The appearance of this precipitate is
due primarily to Fe3+ generated by electrochemical dissolution
of pyrite in anthracite in the anodic zone traveling to the cathode
and generating Fe(OH)3 in combination with OH–. The reaction equations are as follows:
Figure 9
Brown precipitate produced
in the process of coal modification.
Brown precipitate produced
in the process of coal modification.Figure shows
the temperature histogram of the electrolyte when the modification
has just finished. The temperature increases from 13.4 °C to
17.3–35.1 °C and increases with increasing potential gradient.
Figure 10
Temperature
of electrolyte in different schemes after modification.
Temperature
of electrolyte in different schemes after modification.To gain insight into the change in pore structure of coal
samples
after modification, fractal analysis of the samples was performed.
Pfeifer and Avnir[51] stated that the injection
curve of pore structure with a fractal characteristic obeys the following
relationship:where Vp is the
cumulative injection volume at a given pore radius r and Ds is the surface fractal dimension.
The relational equation will be obtained between the cumulative injection
volume Vp derivative with respect to pressure p and the surface fractal dimension Ds.Using this equation, the fractal dimension
can be calculated.
Pore-Fracture Structure of
Coal by MIP and SEM
MIP
MIP is based
on the gradual injection
of mercury into an evacuated pore system with external pressures.
When the pressure is greater than 20 MPa, coal can be compressed,
and compressibility affects the test results. Friesen and Mikula[52] found that the porosity of coal particles can
be corrected based on fractal theory. For the coal particles, the
pressure regime is trisected by three different fractal dimensions.
In order of increasing pressure, the injection volume corresponds
to interparticle penetration, pore penetration, and compressibility.Because the test sample is a piece of coal and microfractures are
developed, the injected mercury volume at low pressure can represent
the fracture volume. Laubach et al.[53] found
that endogenous fractures (cleats) are developed in a more orderly
manner than fractures in adjacent noncoal rocks and that the cumulative
frequency (f) of cleats having apertures of e or larger follows a power law:where b is a general measure
of the cleat intensity and c is a constant (referred
to as the fractal dimension). The formula indicates that the cleat
system of coal has self-similarity. Therefore, the fractal dimension
of cleats in coal can be calculated using MIP results. In combination
with the research results of other scholars on the fractal dimension
of coal particles, for the lump coal, at least three fractal dimensions
such as D1 and D2 can be obtained. In order of increasing pressure, these fractal
dimensions correspond, respectively, to cleat penetration, pore penetration,
and coal matrix compressibility. If the values of D1 and D2 are distinctively
different, the cleat and pore can be distinguished according to the
intersection of their corresponding curves, and cleat structure parameters
such as cleat volume, average cleat width, and cleat porosity can
be further calculated. The cleat volume is the volume of injected
mercury corresponding to the curve intersection. The average cleat
width df can be calculated as follows:where Vf is the
cleat volume, mL/g, and Sf is the surface
area of the cleat, m2·g–1. The cleat
porosity is calculated as follows:where Vm is the
coal matrix skeleton volume, which can be calculated by coal mass
and helium density,[49] and Vmp is the coal matrix pore volume, which can be calculated
as follows:where Vt is the
total injected mercury volume, mL, and Vco is the compressibility, which can be calculated by the helium density
and slope of the linear relationship between high pressure and injected
mercury volume. The coal matrix porosity can be calculated as follows:
The Equipment and Process of Testing
The
pore-fracture structure of the original and modified samples
was measured by mercury porosimetry. The experiments were performed
using a PoreMaster 33G instrument (Quantachrome, US), which permits
mercury filling at as low as 0.0056, up to 204 MPa. The dried sample
is evacuated to 50 mmHg or below. The volume of mercury penetration
into the lump coal is measured in real time with increasing pressure.
To determine the pore size distribution, a surface tension of 485
dyn/cm with a contact angle of 130° was used in the Washburn
equation, eq .where P is the mercury
pressure,
MPa, and r is the pore diameter corresponding to
pressure P, μm. All this work is in the absence
of confining stress.In addition, the surface structure of the
polished cube samples in the anodic, intermediate, and cathodic zones
both before and after treatment was measured by SEM analysis. The
experiments for SEM analysis were performed using a TM-1000 Instrument
(Hitachi, Japan).