# Experimental Study on Methane Desorption from Lumpy Coal under the Action of Hydraulic and Thermal

Authors: Dong Zhao; Dayuan Li; Yulin Ma; Zengchao Feng; Yangsheng Zhao
Journal: Advances in Materials Science and Engineering
 (2018)

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## Abstract

Moisture and thermal are the key factors for influencing methane desorption during CBM exploitation. Using high-pressure water injection technology into coalbed, new fractures and pathways are formed to transport methane. A phenomenon of water-inhibiting gas flow existed. This study is focused on various water pressures impacted on gas-adsorbed coal samples, and then the desorption capacity could be revealed under different conditions. And the results are shown that methane desorption capacity was decreased with the increase in water pressure at room temperature and the downtrend would be steady until water pressure was large enough. Heating could promote gas desorption capacity effectively, with the increasing of water injection pressures, and the promotion of thermal on desorption became more obvious. These results are expected to provide a clearer understanding of theoretical efficiency of heat water or steam injection into coalbed, and they can provide some theoretical and experimental guidance on CBM production and methane control.


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## Body

## 1. Introduction

Coalbed methane, CBM, is a significant natural energy resource and plays an important role in the structure of clean and new energy in China. However, currently, China CBM cannot satisfy requirements for effective and efficient recovery due to low permeability, low reservoir pressure, and high gas adsorption capacity [1]. With increased mining depth, ground stress, and gas pressure, as well as low gas permeability of coal seams, the gas extraction became difficult before mining [2]. The decrease in gas pressure during gas immigration can lead to gas desorption and cause matrix contraction, leading to fracture extension and further improving the permeability of the coal seam [3].Furthermore, their permeability in the gas discharge process is complicated and can be affected by the coupled processes of gas migration and deformation of the coalbed. The mechanism of coupled flow and deformation on CBM recovery has drawn immense attention and significant achievements [4]. To increase coal seam permeability and reduce the amount of extraction drilling and risk of outburst, researchers studied techniques and methods of hydraulics. These methods include ordinary drill, enhanced drills, coalbed water injection, hydraulic punching, hydraulic cutting, and hydraulic fracturing, and they are widely used in modern coal mining to improve coalbed permeability and gas output. All these processes are including high-pressure water. Thus, if high-pressure water has been injected into coalbed, the desorption capacity of methane would be effected due to moisture [5].Some researchers have engaged in this field in order to improve coalbed permeability and amount of gas output. The two major technologies are hydraulic fracture and thermal injection.Hydraulic fracture will increase the moisture content in coalbed which it is resulting from water injection. According to the mechanism of moisture increased in coalbed, many scholars have performed studies on the influence of moisture on methane desorption [6, 7], but they wet the coal samples before the experiment. Some scholars realized that injecting water would destroy the statement for gas adsorption [5, 8–11], and they designed the ideal experimental process in which water was injected into the dry coal samples under the equilibrium state of gas absorption. All of these results showed that the maximum desorption quantity decreases gradually with the amount of injected water, but they were not considering different water pressures that impacted on the same or different equilibrium gas adsorption state.Thermal injection is a new technology in CBM exploitation, and they have been successfully applied to the enhancement of coalbed methane recovery [12–16]. Thermal simulation technologies, such as alternative or supplementary methods for the enhancement of gas production from unconventional reservoirs, have gained great attention in recent years. For example, electromagnetic materials, hot water injection, hot gas injection, and microwave or radio have been used [17–19]. Methane desorption rate would be improved by coalbed heating, but the injected water could block the channels of gas flow imposing additional resistance on the transport and production of coalbed methane. Instead of hot water or superheated steam, the hot gas injection method would induce a binary gas flow and make the forecasting of gas production more difficult.In this paper, a proposal about heat and water injection technology to improve coalbed methane production has been proposed. By combining high-pressure water that blocks gas desorption and heat that accumulates gas output, a series of experiments on methane-bearing coal samples with water injection at different water and gas pressure were performed. And then after natural desorption under water injection, the coal samples were heated. After that, desorption capacities of the coal samples at different water injection pressures and thermal effects have been illustrated. The experiments on constant and warming temperature of the desorption character of gassy coal under different water injection pressures were carried out. These results are expected to provide a clearer understanding of theoretical efficiency of heat water or steam injection into coalbed, and they can provide some theoretical and experimental guidance on CBM production and coal mine methane control.


## 2. Methods

### 2.1. Coal Samples and Preparation

Coal samples used in experiments were taken from Gucheng and Gaohe Coal Mine which were belonging to number 3 coal seam of Qinshui Coalfield in Lu’an Mining Area. Large coal samples were taken from the well and wax sealed on site. After reaching the laboratory, they were processed into Ф100 mm × 100 mm cylindrical specimens. The picture of the experimental coal samples is shown in Figure1, and the results of proximate and reflectance analysis are shown in Table 1.Figure 1
Experimental apparatus and coal samples used in these experiments. (a) Experimental apparatus. (b) Coal sample #1. (c) Coal sample #2.
(a)
(b)
(c)Table 1
Analysis results of experimental coal.
Name of coal samples
R
omax (%)
M
ad (%)
A
d (%)
The volatile matter content
V
ad (%)
V
daf (%)
Gucheng (#1)
2.26
1.05
10.14
11.82
13.35
Gaohe (#2)
2.02
1.08
8.69
14.02
15.52
R
omax: vitrinite reflectance; Mad: moisture content; Ad: ash content; Vad: air drying base-volatile matter content; Vdaf: dry ash-free basis volatile matter content.The samples are lumpy, which contained similar pores and fractures to a coalbed. Pores are the dominant place for gas storage and fractures for gas transportation. Methane adsorbed on the coal samples was used for CBM in situ, and enclosed CBM was simulated using water injection after adsorption.


### 2.2. Experimental Apparatus

To study the adsorption/desorption characteristics of coal mass samples and to carry out simulated water injection CBM experiments, we constructed a new experimental system. The setup comprises a stainless steel container that withstands pressures up to 20 MPa and has top and bottom openings with flexible seals. The top part is used to inject and produce gas, and the bottom part is used to inject water. A columnar coal sample is placed inside the container, which is surrounded by a temperature-controlled air bath. Water injection and gas production in the apparatus are similar to the one water injection well per gas production well configuration under ideal conditions. The coal mass samples simulate an ideal coalbed after hydrofracture. Gas usually desorbs rapidly, but once water is injected, the process slows down and becomes less efficient. A series of experiments was performed at different water pressures to determine the desorption behavior. The appearance and the schematic diagram of the experimental apparatus are shown in Figures1 and 2, respectively.Figure 2
Schematic diagram of the experimental apparatus used in this study. C1 and C2: methane (CH4) and helium (He) cylinder storage; F1 and F2: flow of gas; G1, G2, and G3: gauge for displaying the pressure of methane, helium, and water, respectively; G4: negative gauge for air pressure used for vacuum; G5: gauge for sample gas pressure; V1, V2, V3, V4, and V5: needle valves; S1, S2, and S3: three-port valves; M1: water injection pump; M2: vacuum pump; M3: temperature-controlling device; M4: measurement system.The gas system indicates the gas flow path, and the liquid system introduces water at different pressures into gas-bearing samples. The system is controlled based on the experimental conditions, including pressure and flow. Needle valves (V1, V2, and V3) and gauges (G1, G2, and G3) are used to regulate and show the pressure of methane (CH4), helium (He), and water, respectively, and flowmeters (F1 and F2) are used to read the gas and liquid flow rate. In addition, a switch valve (S1) is used to switch from methane to helium. Methane, the major CBM component, is supplied from a high-pressure cylinder (C1). Helium from cylinder C2 is used to check for leaks and measure free volume after sampling in the container. Then, helium was purged using a vacuum pump (M2) until the sample column contained no gas before methane injection. It would last more than 48 h.After testing for leaks and methane injection (the equilibrium pressure is shown on G5), liquid water was injected from the bottom until the container was full of water. This process simulates an ideal coalbed by injecting water around the surface of broken coal at a certain pressure. An injection device (M1) is used to inject liquid water. The injected water was left in place for approximately 24 h to simulate ideal water-bearing coal after hydrofracture.A control device (M3) was used to regulate the temperature via an air circulation system. The system for measuring water outflow consisted of a conical measuring flask to measure the flow volume during desorption. A gas collection system (M4), using displacement of water and a rotor flowmeter, was used to precisely determine the volume of desorbed methane (precision ±2 mL).


### 2.3. Experimental Procedures

During the experiments, the coal samples were placed in adsorption-water injection-desorption apparatus at a room temperature of 25°C which means coal reservoir temperature and later up to 90°C which is experimental temperature controlled by a temperature controller using thermal air flow. Before the experiment, the free volume of coal in the container is measured. The experimental procedures are divided into three steps.The first is the adsorption, check the airtightness of the experimental device by the method of high-pressure helium and then keep the device vacuum under airtightness more than 48 h, and finally open the valve for connecting the gas container with sample container so that the coal sample could adsorb gas. The process would last for 3 to 7 days until the gas pressure is constant. Under the rated adsorption pressure, the pressure change during the adsorption process is recorded by the digital pressure gauge.The second is the high-pressure water injection, connecting M1 to M3 after coal sample adsorption reached an equilibrium state. The water pressure is controlled by the water pump in M1 and divided into four different pressures: they are water pressure equal to gas pressure (1 time), 2.5 times of gas pressure (2.5 times), 6.25 times of gas pressure (6.25 times), and 16 times of gas pressure (16 times). For contrast, natural desorption without water injection after adsorption is necessary. During the water injecting process, water has run through the entire coal sample. Then, the state of water in the coal sample container was maintained for 24 h. This process is simulated to moisture injection in situ coal seam.The third is the desorption, and it is separated into two different steps: the one is room temperature desorption and the other is heating to 90°C for desorption. M4 is connected to M3 for desorption under atmospheric pressure. The desorption process would last 48 h in each experiment, and the desorption gas is collected. The amount of gas desorption is measured in real time during the experiment and after less than 10 mL/h, and it is considered that the desorption equilibrium has been reached.


## 2.1. Coal Samples and Preparation

Coal samples used in experiments were taken from Gucheng and Gaohe Coal Mine which were belonging to number 3 coal seam of Qinshui Coalfield in Lu’an Mining Area. Large coal samples were taken from the well and wax sealed on site. After reaching the laboratory, they were processed into Ф100 mm × 100 mm cylindrical specimens. The picture of the experimental coal samples is shown in Figure1, and the results of proximate and reflectance analysis are shown in Table 1.Figure 1
Experimental apparatus and coal samples used in these experiments. (a) Experimental apparatus. (b) Coal sample #1. (c) Coal sample #2.
(a)
(b)
(c)Table 1
Analysis results of experimental coal.
Name of coal samples
R
omax (%)
M
ad (%)
A
d (%)
The volatile matter content
V
ad (%)
V
daf (%)
Gucheng (#1)
2.26
1.05
10.14
11.82
13.35
Gaohe (#2)
2.02
1.08
8.69
14.02
15.52
R
omax: vitrinite reflectance; Mad: moisture content; Ad: ash content; Vad: air drying base-volatile matter content; Vdaf: dry ash-free basis volatile matter content.The samples are lumpy, which contained similar pores and fractures to a coalbed. Pores are the dominant place for gas storage and fractures for gas transportation. Methane adsorbed on the coal samples was used for CBM in situ, and enclosed CBM was simulated using water injection after adsorption.


## 2.2. Experimental Apparatus

To study the adsorption/desorption characteristics of coal mass samples and to carry out simulated water injection CBM experiments, we constructed a new experimental system. The setup comprises a stainless steel container that withstands pressures up to 20 MPa and has top and bottom openings with flexible seals. The top part is used to inject and produce gas, and the bottom part is used to inject water. A columnar coal sample is placed inside the container, which is surrounded by a temperature-controlled air bath. Water injection and gas production in the apparatus are similar to the one water injection well per gas production well configuration under ideal conditions. The coal mass samples simulate an ideal coalbed after hydrofracture. Gas usually desorbs rapidly, but once water is injected, the process slows down and becomes less efficient. A series of experiments was performed at different water pressures to determine the desorption behavior. The appearance and the schematic diagram of the experimental apparatus are shown in Figures1 and 2, respectively.Figure 2
Schematic diagram of the experimental apparatus used in this study. C1 and C2: methane (CH4) and helium (He) cylinder storage; F1 and F2: flow of gas; G1, G2, and G3: gauge for displaying the pressure of methane, helium, and water, respectively; G4: negative gauge for air pressure used for vacuum; G5: gauge for sample gas pressure; V1, V2, V3, V4, and V5: needle valves; S1, S2, and S3: three-port valves; M1: water injection pump; M2: vacuum pump; M3: temperature-controlling device; M4: measurement system.The gas system indicates the gas flow path, and the liquid system introduces water at different pressures into gas-bearing samples. The system is controlled based on the experimental conditions, including pressure and flow. Needle valves (V1, V2, and V3) and gauges (G1, G2, and G3) are used to regulate and show the pressure of methane (CH4), helium (He), and water, respectively, and flowmeters (F1 and F2) are used to read the gas and liquid flow rate. In addition, a switch valve (S1) is used to switch from methane to helium. Methane, the major CBM component, is supplied from a high-pressure cylinder (C1). Helium from cylinder C2 is used to check for leaks and measure free volume after sampling in the container. Then, helium was purged using a vacuum pump (M2) until the sample column contained no gas before methane injection. It would last more than 48 h.After testing for leaks and methane injection (the equilibrium pressure is shown on G5), liquid water was injected from the bottom until the container was full of water. This process simulates an ideal coalbed by injecting water around the surface of broken coal at a certain pressure. An injection device (M1) is used to inject liquid water. The injected water was left in place for approximately 24 h to simulate ideal water-bearing coal after hydrofracture.A control device (M3) was used to regulate the temperature via an air circulation system. The system for measuring water outflow consisted of a conical measuring flask to measure the flow volume during desorption. A gas collection system (M4), using displacement of water and a rotor flowmeter, was used to precisely determine the volume of desorbed methane (precision ±2 mL).


## 2.3. Experimental Procedures

During the experiments, the coal samples were placed in adsorption-water injection-desorption apparatus at a room temperature of 25°C which means coal reservoir temperature and later up to 90°C which is experimental temperature controlled by a temperature controller using thermal air flow. Before the experiment, the free volume of coal in the container is measured. The experimental procedures are divided into three steps.The first is the adsorption, check the airtightness of the experimental device by the method of high-pressure helium and then keep the device vacuum under airtightness more than 48 h, and finally open the valve for connecting the gas container with sample container so that the coal sample could adsorb gas. The process would last for 3 to 7 days until the gas pressure is constant. Under the rated adsorption pressure, the pressure change during the adsorption process is recorded by the digital pressure gauge.The second is the high-pressure water injection, connecting M1 to M3 after coal sample adsorption reached an equilibrium state. The water pressure is controlled by the water pump in M1 and divided into four different pressures: they are water pressure equal to gas pressure (1 time), 2.5 times of gas pressure (2.5 times), 6.25 times of gas pressure (6.25 times), and 16 times of gas pressure (16 times). For contrast, natural desorption without water injection after adsorption is necessary. During the water injecting process, water has run through the entire coal sample. Then, the state of water in the coal sample container was maintained for 24 h. This process is simulated to moisture injection in situ coal seam.The third is the desorption, and it is separated into two different steps: the one is room temperature desorption and the other is heating to 90°C for desorption. M4 is connected to M3 for desorption under atmospheric pressure. The desorption process would last 48 h in each experiment, and the desorption gas is collected. The amount of gas desorption is measured in real time during the experiment and after less than 10 mL/h, and it is considered that the desorption equilibrium has been reached.


## 3. Experimental Results

### 3.1. Raw Data of Experiments

Tables2 and 3 show the raw data of adsorption, water injection, and desorption of the coal sample, in which #1, #2, and #12 coal samples represent desorption of the Gucheng coal sample at 25°C, desorption of the Gaohe coal sample at 25°C, and desorption of the Gucheng coal sample at 90°C, respectively. The definitions of the parameters are shown in Table 2. The data of gas adsorption pressure around 0.25 MPa and 0.5 MPa are shown in Tables 2 and 3, respectively.Table 2
Raw data of the two coal samples at gas adsorption pressure around 0.25 MPa.
Experimental stage
Sample number
ΔP (MPa)
P
1 (MPa)
V
1 (L)
P
2 (MPa)
m
1 (g)
m
2 (g)
ω (%)
V
2 (L)
V
3 (L)
V
4 (L)
dV
5 (mL/g)
η
max
Natural desorption
1
0.11
0.295
1702
—
1101
—
0
93.62
272.63
4110.87
3.73
0.3477
2
0.11
0.241
1782.03
—
1074
—
0
102.02
242.73
4140.77
3.65
0.3717
1 time of adsorption pressure (about 0.25 MPa)
1
0.1
0.215
630
0.222
1101
—
1.455
93.86
199.21
3785.79
3.43
0.114
12
0.1
0.215
2400.68
0.222
1101
1117.02
1.455
93.86
199.21
3785.79
3.43
0.5815
2
0.11
0.230
1116.07
0.230
1074
1090.93
1.576
113.15
256.9
4126.6
3.84
0.2082
2.5 times of adsorption pressure (about 0.625 MPa)
1
0.1
0.195
401.57
0.508
1101
—
1.144
94.52
181.96
3803.04
3.45
0.0577
12
0.1
0.195
1269
0.508
1101
1112.66
1.144
94.52
181.96
3803.04
3.45
0.2858
2
0.105
0.182
441.14
0.458
1074
1089.24
1.41
101.95
183.18
4001.07
3.72
0.0644
6.25 times of adsorption pressure (about 1.56 MPa)
1
0.1
0.225
365.29
1.25
1101
—
1.57
93.81
208.38
3776.62
3.42
0.0415
12
0.1
0.225
1343
1.25
1101
1118.35
1.57
93.81
208.38
3776.62
3.42
0.3004
2
0.11
0.196
311.4
1.295
1074
1090.13
1.502
102.02
197.41
4186.09
3.89
0.0272
16 times of adsorption pressure (about 4.00 MPa)
1
0.1
0.215
269.02
3.212
1101
—
1.251
93.861
199.21
3785.79
3.43
0.0192
12
0.1
0.215
1018
3.212
1101
1114.77
1.251
93.861
199.21
3785.79
3.43
0.2162
2
0.11
0.195
211.36
3.223
1074
1091.24
1.605
102.02
196.40
4187.1
3.89
0.0271
Note. ΔP is the D value between initial and final gas pressures of the gas storage tank, which the content of 3.8 L; P1 is the gas adsorption pressure at final stage; V1 is the desorption volume of the coal sample at each stage; P2 is the water injection pressure; it depends on final gas adsorption pressure; V2 is the free content after coal into the sample container; it is measured by helium; m1 is the mass of the dry coal sample; m2 is the mass of the wet coal sample after water injection and desorption; ω is the moisture content of the coal sample appending on dry coal after water injection and desorption; V3 and V4 are the free gas volume and adsorption gas volume, respectively; dV5 means adsorption gas volume per unit mass of coal; ηmax is accumulative desorption rate after 48 h desorption. All data are converted to the value at standard status (273.15 K, 1 atm).Table 3
Raw data of the two coal samples at gas adsorption pressure around 0.50 MPa.
Experimental stage
Sample number
ΔP (MPa)
P
1 (MPa)
V
1 (L)
P
2 (MPa)
m
1 (g)
m
2 (g)
ω (%)
V
2 (L)
V
3 (L)
V
4 (L)
dV
5 (mL/g)
η
max
Natural desorption
1
0.2
0.459
3349
—
1101
—
0
93.64
424.32
7545.67
6.85
0.3875
2
0.22
0.506
4432
—
1074
—
0
101.73
508.15
8258.84
7.68
0.4751
1 time of adsorption pressure (about 0.25 MPa)
1
0.18
0.535
1702.8
0.53
1101
—
1.303
93.86
495.71
6677.28
6.06
0.1807
12
0.18
0.535
4420
0.53
1101
1115.3
1.303
93.86
495.71
6677.28
6.06
0.5878
2
0.2
0.505
2354.4
0.52
1074
1090.2
1.512
102.02
508.63
7461.36
6.94
0.2473
2.5 times of adsorption pressure (about 0.625 MPa)
1
0.185
0.528
1129.8
1.32
1101
—
1.265
93.86
489.22
6883.02
6.25
0.0930
12
0.185
0.528
4855
1.32
1101
1114.9
1.265
93.86
489.22
6883.02
6.25
0.7984
2
0.2
0.486
1281.2
1.23
1074
1090.6
1.553
102.02
489.49
7480.50
6.96
0.1058
6.25 times of adsorption pressure (about 1.56 MPa)
1
0.185
0.611
1007.9
3.82
1101
—
1.362
93.86
566.13
6606.86
6.00
0.0668
12
0.185
0.611
3596
3.82
1101
1116
1.362
93.86
566.13
6606.86
6.00
0.6111
2
0.2
0.5
979
3.12
1074
1092.6
1.732
84.73
418.23
7551.76
7.03
0.0742
16 times of adsorption pressure (about 4.00 MPa)
1
0.185
0.495
700.31
8
1101
—
1.306
93.86
458.65
6714.34
6.09
0.0474
12
0.185
0.495
3617.3
8
1101
1115.3
1.306
93.86
458.65
6714.34
6.09
0.47
2
0.2
0.488
944.65
8
1074
1092.5
1.723
102.02
491.51
7478.48
6.96
0.0556


### 3.2. Analyses for Experimental Results

#### 3.2.1. Results of Desorption at 25°C and 90°C

The curves of desorption capacity versus time in different water injection pressures for the two coal samples at adsorption pressure around 0.25 MPa and 0.50 MPa are shown in Figures3 and 4, respectively. The desorption stage of coal sample #1 had separated into two stages: the first is 25°C and the second is 90°C; the two stages are continuous. And the stage of coal sample #2 only had one stage: just 25°C desorption. The results of the two samples could be contrasted with different desorption stages.Figure 3
Desorption capacity versus time in different water injection pressures at 0.25 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)Figure 4
Desorption capacity versus time in different water injection pressures around 0.50 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)As shown in Figure3, under the condition of room temperature of 25°C, the desorption percentage of adsorption gas is increased with time rapidly. (Desorption percentage is the proportion of desorption gas and whole adsorbed gas in real time.) The instantaneous desorption rate of all the experiments reaches the final desorption rate of 71.53% in 500 minutes. The instantaneous desorption rate of gas after injection is not obvious with time increase, the data in slow growth with time. The larger the injection pressure, the more difficult the desorption, the lower the final desorption percentage.In the same coal sample, with the increase of adsorption pressure, whether in natural desorption or water injection desorption, the final gas desorption percentage of the sample has been improved to some extent. When using 2 times of former adsorption pressure in Figure4, desorption percentage of Gucheng and Gaohe coal samples increased by 11.44% and 27.82% in natural desorption. Water injection pressure is higher, and the increase of adsorption pressure on gas desorption rate is more obvious in water injection desorption. Under 16 times of water injection pressure, contrast with 0.25 MPa gas pressure, the desorption percentage of Gucheng and Gaohe coal samples increased by 2.473 times and 2.047 times, respectively.When the temperature rises to 90°C, the Gucheng coal sample showed a significant increase in the desorption rate of coal methane compared with 25°C when water injection pressure and adsorption pressure were constant. The final desorption percentage at 90°C increased by 1.331 times compared with that at 25°C in natural desorption. With the increase of water injection pressure, the effect of heating on desorption rate increased significantly. At 16 times of water injection pressure, thermal promotes the desorption, and the gas desorption rate increased by 10.72 times which is compared to room temperature. This shows that thermal could enhance the ability of coal methane desorption effectively, and inhibition effect of water injection weakens.The time effect of desorption in the process of mining coalbed methane is a very important indicator, which is the direct influence factor of the recovery efficiency. Therefore, based on the description of the desorption capacity of coalbed methane with the change of time, [5] uses the following formula to analyze the relationship between desorption rate and time under different conditions:(1)η=ηmax1−exp−tt0n.where t0 and n are the desorption median time parameters and the time effect of divergence and t is the time. The above parameters are related to experimental water pressure and type of coal.Equation (1) is transformed and can be changed to the following equation if x=t:(2)y=xt0n.According to (1) and (2), a regression analysis has been made using the experimental results, and the simulation results are shown in Table 4. It can be seen that the time-dependent parameter t0 of desorption gradually increases with the change of water injection pressure, which indicates that high-pressure water injection will affect the desorption rate of coalbed methane.Table 4
Simulation results of time effect on desorption.
Sample number
Adsorption gas pressure
Experimental stage
Simulation results from (1)
Results from (2)
R
2
1
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.01055
0.5393
y
=
0.0859
x
0.5393
0.9735
1 time
η
=
η
max
1
−
exp
−
t
/
0.017144
0.365
y
=
0.2267
x
0.365
0.8843
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.019.34
0.3743
y
=
0.227
x
0.3743
0.9244
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.00706
0.1796
y
=
0.0256
x
0.1796
0.9933
16 times
η
=
η
max
1
−
exp
−
t
/
0.00586
0.1079
y
=
2.7378
x
0.1079
0.9131
1
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.007177
0.493
y
=
0.0877
x
0.493
0.9261
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.005283
0.5988
y
=
0.0443
x
0.5988
0.9534
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.016739
0.3604
y
=
0.229
x
0.3604
0.8997
16 times
η
=
η
max
1
−
exp
−
t
/
0.086339
0.2769
y
=
0.5075
x
0.2769
0.8695
2
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.00708
0.5592
y
=
0.0628
x
0.5592
0.9836
1 time
η
=
η
max
1
−
exp
−
t
/
0.00606
0.5977
y
=
0.0473
x
0.5977
0.9464
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0011393
1.359
y
=
0.0001
x
1.359
0.9723
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001420
1.2372
y
=
0.0003
x
0.1.2372
0.9006
16 times
η
=
η
max
1
−
exp
−
t
/
0.007109
0.3814
y
=
0.1516
x
0.3814
0.8335
2
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.005112
0.6054
y
=
0.041
x
0.6054
0.9536
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0054527
0.622
y
=
0.0391
x
0.622
0.9611
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001430
1.0708
y
=
0.0009
x
1.0708
0.9475
16 times
η
=
η
max
1
−
exp
−
t
/
0.006566
0.512
y
=
0.0026
x
0.512
0.9164


#### 3.2.2. The Relationship between Final Desorption Percentage and Water Injection Pressure

Desorption capacities as a function of water pressure for the two coal samples at 0.25 MPa and 0.50 MPa gas adsorption pressure are shown in Figures5 and 6, respectively. From natural desorption to 2.5 times water injection pressure and then 6.25 times water injection pressure, the desorption percentage is a gradual change in the slope of the curve, and the data change of water pressure from 6.25 times to 16 times is small and relatively straight. With the increase of multiples of injection pressure, the impact of water injection on the desorption rate is initially severe, and then gradually slows down, and finally approaches an equilibrium state. When the adsorption pressure became greater, the desorption percentage raised for same type of coal samples. This is due to the adsorption of gas that has the greater desorb potential energy and the stronger ability to breakthrough constraint of capillarity for adsorption equilibrium pressure of coal samples so that the coal samples have stronger desorption capacity.Figure 5
Desorption capacity as a function of water pressure for the two coal samples at 0.25 MPa gas adsorption pressure.Figure 6
Desorption capacity as a function of water pressure for the two coal samples at 0.50 MPa gas adsorption pressure.To reveal the final desorption percentage of natural desorption and four different water injection pressures, according to isothermal adsorption-desorption formula, one transformation of it could be introduced on the basis of experimental results of the relationship between the desorption rate and water pressure:(3)ηmax=ηdmax1−aP21+bP2.where ηdmax is the final desorption percentage (%) of the coal sample during natural desorption and a and b are the related parameters (MPa−1).Equation (3) can be changed into the following form if y=ηdmax/ηdmax−ηmax, x=1/P4:(4)y=1ax+ba.The regression analysis of the experimental results and simulation results shows in Table5 that b/a is one of the important indexes to measure the effect of water injection on gas desorption and the lower limiting value is 1, indicating that the gas desorption rate is equal to 0 when the water pressure is infinite. The value of b/a is close to 1 in this paper, indicating that the desorption rate of gassy coal will decrease with the increase of external moisture injection pressure. The desorption rate will be close to zero when the water pressure increases to a certain value.Table 5
Simulation results between desorption percentage and water injection pressure.
Sample number
Adsorption gas pressure
Simulation results of (3)
Simulation results of (4)
R
2
1
0.25 MPa
η
max
=
η
d
max
1
−
2.2492
P
4
/
1
+
2.1641
P
4
y
=
0.4446
x
+
1.0393
0.9896
2
0.50 MPa
η
max
=
η
d
max
1
−
0.7251
P
4
/
1
+
0.6699
P
4
y
=
1.379
x
+
1.0824
0.9591
1
0.25 MPa
η
max
=
η
d
max
1
−
1.2318
P
4
/
1
+
1.1777
P
4
y
=
0.8118
x
+
1.0459
0.9877
2
0.50 MPa
η
max
=
η
d
max
1
−
0.9689
P
4
/
1
+
0.9617
P
4
y
=
1.032
x
+
1.0075
0.9565The influence of moisture on coal desorption based on coal moisture content by using small particle size coal samples had been revealed in following form [20]:(5)ηd=ηdmax1−0.032M1+1.152M.where M is the water content (%).This formula is similar to this study. The water content of coal is positively correlated with the water injection pressure and can be approximated by comparison, but the value ofb/a that has been obtained is larger, indicating that the desorption rate is still about 4/5 at natural desorption when reaching saturated water content. The smaller the particle size of the coal samples is, the less the impact of external water injection on the desorption of coal is.


## 3.1. Raw Data of Experiments

Tables2 and 3 show the raw data of adsorption, water injection, and desorption of the coal sample, in which #1, #2, and #12 coal samples represent desorption of the Gucheng coal sample at 25°C, desorption of the Gaohe coal sample at 25°C, and desorption of the Gucheng coal sample at 90°C, respectively. The definitions of the parameters are shown in Table 2. The data of gas adsorption pressure around 0.25 MPa and 0.5 MPa are shown in Tables 2 and 3, respectively.Table 2
Raw data of the two coal samples at gas adsorption pressure around 0.25 MPa.
Experimental stage
Sample number
ΔP (MPa)
P
1 (MPa)
V
1 (L)
P
2 (MPa)
m
1 (g)
m
2 (g)
ω (%)
V
2 (L)
V
3 (L)
V
4 (L)
dV
5 (mL/g)
η
max
Natural desorption
1
0.11
0.295
1702
—
1101
—
0
93.62
272.63
4110.87
3.73
0.3477
2
0.11
0.241
1782.03
—
1074
—
0
102.02
242.73
4140.77
3.65
0.3717
1 time of adsorption pressure (about 0.25 MPa)
1
0.1
0.215
630
0.222
1101
—
1.455
93.86
199.21
3785.79
3.43
0.114
12
0.1
0.215
2400.68
0.222
1101
1117.02
1.455
93.86
199.21
3785.79
3.43
0.5815
2
0.11
0.230
1116.07
0.230
1074
1090.93
1.576
113.15
256.9
4126.6
3.84
0.2082
2.5 times of adsorption pressure (about 0.625 MPa)
1
0.1
0.195
401.57
0.508
1101
—
1.144
94.52
181.96
3803.04
3.45
0.0577
12
0.1
0.195
1269
0.508
1101
1112.66
1.144
94.52
181.96
3803.04
3.45
0.2858
2
0.105
0.182
441.14
0.458
1074
1089.24
1.41
101.95
183.18
4001.07
3.72
0.0644
6.25 times of adsorption pressure (about 1.56 MPa)
1
0.1
0.225
365.29
1.25
1101
—
1.57
93.81
208.38
3776.62
3.42
0.0415
12
0.1
0.225
1343
1.25
1101
1118.35
1.57
93.81
208.38
3776.62
3.42
0.3004
2
0.11
0.196
311.4
1.295
1074
1090.13
1.502
102.02
197.41
4186.09
3.89
0.0272
16 times of adsorption pressure (about 4.00 MPa)
1
0.1
0.215
269.02
3.212
1101
—
1.251
93.861
199.21
3785.79
3.43
0.0192
12
0.1
0.215
1018
3.212
1101
1114.77
1.251
93.861
199.21
3785.79
3.43
0.2162
2
0.11
0.195
211.36
3.223
1074
1091.24
1.605
102.02
196.40
4187.1
3.89
0.0271
Note. ΔP is the D value between initial and final gas pressures of the gas storage tank, which the content of 3.8 L; P1 is the gas adsorption pressure at final stage; V1 is the desorption volume of the coal sample at each stage; P2 is the water injection pressure; it depends on final gas adsorption pressure; V2 is the free content after coal into the sample container; it is measured by helium; m1 is the mass of the dry coal sample; m2 is the mass of the wet coal sample after water injection and desorption; ω is the moisture content of the coal sample appending on dry coal after water injection and desorption; V3 and V4 are the free gas volume and adsorption gas volume, respectively; dV5 means adsorption gas volume per unit mass of coal; ηmax is accumulative desorption rate after 48 h desorption. All data are converted to the value at standard status (273.15 K, 1 atm).Table 3
Raw data of the two coal samples at gas adsorption pressure around 0.50 MPa.
Experimental stage
Sample number
ΔP (MPa)
P
1 (MPa)
V
1 (L)
P
2 (MPa)
m
1 (g)
m
2 (g)
ω (%)
V
2 (L)
V
3 (L)
V
4 (L)
dV
5 (mL/g)
η
max
Natural desorption
1
0.2
0.459
3349
—
1101
—
0
93.64
424.32
7545.67
6.85
0.3875
2
0.22
0.506
4432
—
1074
—
0
101.73
508.15
8258.84
7.68
0.4751
1 time of adsorption pressure (about 0.25 MPa)
1
0.18
0.535
1702.8
0.53
1101
—
1.303
93.86
495.71
6677.28
6.06
0.1807
12
0.18
0.535
4420
0.53
1101
1115.3
1.303
93.86
495.71
6677.28
6.06
0.5878
2
0.2
0.505
2354.4
0.52
1074
1090.2
1.512
102.02
508.63
7461.36
6.94
0.2473
2.5 times of adsorption pressure (about 0.625 MPa)
1
0.185
0.528
1129.8
1.32
1101
—
1.265
93.86
489.22
6883.02
6.25
0.0930
12
0.185
0.528
4855
1.32
1101
1114.9
1.265
93.86
489.22
6883.02
6.25
0.7984
2
0.2
0.486
1281.2
1.23
1074
1090.6
1.553
102.02
489.49
7480.50
6.96
0.1058
6.25 times of adsorption pressure (about 1.56 MPa)
1
0.185
0.611
1007.9
3.82
1101
—
1.362
93.86
566.13
6606.86
6.00
0.0668
12
0.185
0.611
3596
3.82
1101
1116
1.362
93.86
566.13
6606.86
6.00
0.6111
2
0.2
0.5
979
3.12
1074
1092.6
1.732
84.73
418.23
7551.76
7.03
0.0742
16 times of adsorption pressure (about 4.00 MPa)
1
0.185
0.495
700.31
8
1101
—
1.306
93.86
458.65
6714.34
6.09
0.0474
12
0.185
0.495
3617.3
8
1101
1115.3
1.306
93.86
458.65
6714.34
6.09
0.47
2
0.2
0.488
944.65
8
1074
1092.5
1.723
102.02
491.51
7478.48
6.96
0.0556


## 3.2. Analyses for Experimental Results

### 3.2.1. Results of Desorption at 25°C and 90°C

The curves of desorption capacity versus time in different water injection pressures for the two coal samples at adsorption pressure around 0.25 MPa and 0.50 MPa are shown in Figures3 and 4, respectively. The desorption stage of coal sample #1 had separated into two stages: the first is 25°C and the second is 90°C; the two stages are continuous. And the stage of coal sample #2 only had one stage: just 25°C desorption. The results of the two samples could be contrasted with different desorption stages.Figure 3
Desorption capacity versus time in different water injection pressures at 0.25 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)Figure 4
Desorption capacity versus time in different water injection pressures around 0.50 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)As shown in Figure3, under the condition of room temperature of 25°C, the desorption percentage of adsorption gas is increased with time rapidly. (Desorption percentage is the proportion of desorption gas and whole adsorbed gas in real time.) The instantaneous desorption rate of all the experiments reaches the final desorption rate of 71.53% in 500 minutes. The instantaneous desorption rate of gas after injection is not obvious with time increase, the data in slow growth with time. The larger the injection pressure, the more difficult the desorption, the lower the final desorption percentage.In the same coal sample, with the increase of adsorption pressure, whether in natural desorption or water injection desorption, the final gas desorption percentage of the sample has been improved to some extent. When using 2 times of former adsorption pressure in Figure4, desorption percentage of Gucheng and Gaohe coal samples increased by 11.44% and 27.82% in natural desorption. Water injection pressure is higher, and the increase of adsorption pressure on gas desorption rate is more obvious in water injection desorption. Under 16 times of water injection pressure, contrast with 0.25 MPa gas pressure, the desorption percentage of Gucheng and Gaohe coal samples increased by 2.473 times and 2.047 times, respectively.When the temperature rises to 90°C, the Gucheng coal sample showed a significant increase in the desorption rate of coal methane compared with 25°C when water injection pressure and adsorption pressure were constant. The final desorption percentage at 90°C increased by 1.331 times compared with that at 25°C in natural desorption. With the increase of water injection pressure, the effect of heating on desorption rate increased significantly. At 16 times of water injection pressure, thermal promotes the desorption, and the gas desorption rate increased by 10.72 times which is compared to room temperature. This shows that thermal could enhance the ability of coal methane desorption effectively, and inhibition effect of water injection weakens.The time effect of desorption in the process of mining coalbed methane is a very important indicator, which is the direct influence factor of the recovery efficiency. Therefore, based on the description of the desorption capacity of coalbed methane with the change of time, [5] uses the following formula to analyze the relationship between desorption rate and time under different conditions:(1)η=ηmax1−exp−tt0n.where t0 and n are the desorption median time parameters and the time effect of divergence and t is the time. The above parameters are related to experimental water pressure and type of coal.Equation (1) is transformed and can be changed to the following equation if x=t:(2)y=xt0n.According to (1) and (2), a regression analysis has been made using the experimental results, and the simulation results are shown in Table 4. It can be seen that the time-dependent parameter t0 of desorption gradually increases with the change of water injection pressure, which indicates that high-pressure water injection will affect the desorption rate of coalbed methane.Table 4
Simulation results of time effect on desorption.
Sample number
Adsorption gas pressure
Experimental stage
Simulation results from (1)
Results from (2)
R
2
1
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.01055
0.5393
y
=
0.0859
x
0.5393
0.9735
1 time
η
=
η
max
1
−
exp
−
t
/
0.017144
0.365
y
=
0.2267
x
0.365
0.8843
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.019.34
0.3743
y
=
0.227
x
0.3743
0.9244
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.00706
0.1796
y
=
0.0256
x
0.1796
0.9933
16 times
η
=
η
max
1
−
exp
−
t
/
0.00586
0.1079
y
=
2.7378
x
0.1079
0.9131
1
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.007177
0.493
y
=
0.0877
x
0.493
0.9261
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.005283
0.5988
y
=
0.0443
x
0.5988
0.9534
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.016739
0.3604
y
=
0.229
x
0.3604
0.8997
16 times
η
=
η
max
1
−
exp
−
t
/
0.086339
0.2769
y
=
0.5075
x
0.2769
0.8695
2
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.00708
0.5592
y
=
0.0628
x
0.5592
0.9836
1 time
η
=
η
max
1
−
exp
−
t
/
0.00606
0.5977
y
=
0.0473
x
0.5977
0.9464
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0011393
1.359
y
=
0.0001
x
1.359
0.9723
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001420
1.2372
y
=
0.0003
x
0.1.2372
0.9006
16 times
η
=
η
max
1
−
exp
−
t
/
0.007109
0.3814
y
=
0.1516
x
0.3814
0.8335
2
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.005112
0.6054
y
=
0.041
x
0.6054
0.9536
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0054527
0.622
y
=
0.0391
x
0.622
0.9611
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001430
1.0708
y
=
0.0009
x
1.0708
0.9475
16 times
η
=
η
max
1
−
exp
−
t
/
0.006566
0.512
y
=
0.0026
x
0.512
0.9164


### 3.2.2. The Relationship between Final Desorption Percentage and Water Injection Pressure

Desorption capacities as a function of water pressure for the two coal samples at 0.25 MPa and 0.50 MPa gas adsorption pressure are shown in Figures5 and 6, respectively. From natural desorption to 2.5 times water injection pressure and then 6.25 times water injection pressure, the desorption percentage is a gradual change in the slope of the curve, and the data change of water pressure from 6.25 times to 16 times is small and relatively straight. With the increase of multiples of injection pressure, the impact of water injection on the desorption rate is initially severe, and then gradually slows down, and finally approaches an equilibrium state. When the adsorption pressure became greater, the desorption percentage raised for same type of coal samples. This is due to the adsorption of gas that has the greater desorb potential energy and the stronger ability to breakthrough constraint of capillarity for adsorption equilibrium pressure of coal samples so that the coal samples have stronger desorption capacity.Figure 5
Desorption capacity as a function of water pressure for the two coal samples at 0.25 MPa gas adsorption pressure.Figure 6
Desorption capacity as a function of water pressure for the two coal samples at 0.50 MPa gas adsorption pressure.To reveal the final desorption percentage of natural desorption and four different water injection pressures, according to isothermal adsorption-desorption formula, one transformation of it could be introduced on the basis of experimental results of the relationship between the desorption rate and water pressure:(3)ηmax=ηdmax1−aP21+bP2.where ηdmax is the final desorption percentage (%) of the coal sample during natural desorption and a and b are the related parameters (MPa−1).Equation (3) can be changed into the following form if y=ηdmax/ηdmax−ηmax, x=1/P4:(4)y=1ax+ba.The regression analysis of the experimental results and simulation results shows in Table5 that b/a is one of the important indexes to measure the effect of water injection on gas desorption and the lower limiting value is 1, indicating that the gas desorption rate is equal to 0 when the water pressure is infinite. The value of b/a is close to 1 in this paper, indicating that the desorption rate of gassy coal will decrease with the increase of external moisture injection pressure. The desorption rate will be close to zero when the water pressure increases to a certain value.Table 5
Simulation results between desorption percentage and water injection pressure.
Sample number
Adsorption gas pressure
Simulation results of (3)
Simulation results of (4)
R
2
1
0.25 MPa
η
max
=
η
d
max
1
−
2.2492
P
4
/
1
+
2.1641
P
4
y
=
0.4446
x
+
1.0393
0.9896
2
0.50 MPa
η
max
=
η
d
max
1
−
0.7251
P
4
/
1
+
0.6699
P
4
y
=
1.379
x
+
1.0824
0.9591
1
0.25 MPa
η
max
=
η
d
max
1
−
1.2318
P
4
/
1
+
1.1777
P
4
y
=
0.8118
x
+
1.0459
0.9877
2
0.50 MPa
η
max
=
η
d
max
1
−
0.9689
P
4
/
1
+
0.9617
P
4
y
=
1.032
x
+
1.0075
0.9565The influence of moisture on coal desorption based on coal moisture content by using small particle size coal samples had been revealed in following form [20]:(5)ηd=ηdmax1−0.032M1+1.152M.where M is the water content (%).This formula is similar to this study. The water content of coal is positively correlated with the water injection pressure and can be approximated by comparison, but the value ofb/a that has been obtained is larger, indicating that the desorption rate is still about 4/5 at natural desorption when reaching saturated water content. The smaller the particle size of the coal samples is, the less the impact of external water injection on the desorption of coal is.


## 3.2.1. Results of Desorption at 25°C and 90°C

The curves of desorption capacity versus time in different water injection pressures for the two coal samples at adsorption pressure around 0.25 MPa and 0.50 MPa are shown in Figures3 and 4, respectively. The desorption stage of coal sample #1 had separated into two stages: the first is 25°C and the second is 90°C; the two stages are continuous. And the stage of coal sample #2 only had one stage: just 25°C desorption. The results of the two samples could be contrasted with different desorption stages.Figure 3
Desorption capacity versus time in different water injection pressures at 0.25 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)Figure 4
Desorption capacity versus time in different water injection pressures around 0.50 MPa gas adsorption pressure. (a) Coal sample #1 (Gucheng Coal Mine). (b) Coal sample #2 (Gaohe Coal Mine).
(a)
(b)As shown in Figure3, under the condition of room temperature of 25°C, the desorption percentage of adsorption gas is increased with time rapidly. (Desorption percentage is the proportion of desorption gas and whole adsorbed gas in real time.) The instantaneous desorption rate of all the experiments reaches the final desorption rate of 71.53% in 500 minutes. The instantaneous desorption rate of gas after injection is not obvious with time increase, the data in slow growth with time. The larger the injection pressure, the more difficult the desorption, the lower the final desorption percentage.In the same coal sample, with the increase of adsorption pressure, whether in natural desorption or water injection desorption, the final gas desorption percentage of the sample has been improved to some extent. When using 2 times of former adsorption pressure in Figure4, desorption percentage of Gucheng and Gaohe coal samples increased by 11.44% and 27.82% in natural desorption. Water injection pressure is higher, and the increase of adsorption pressure on gas desorption rate is more obvious in water injection desorption. Under 16 times of water injection pressure, contrast with 0.25 MPa gas pressure, the desorption percentage of Gucheng and Gaohe coal samples increased by 2.473 times and 2.047 times, respectively.When the temperature rises to 90°C, the Gucheng coal sample showed a significant increase in the desorption rate of coal methane compared with 25°C when water injection pressure and adsorption pressure were constant. The final desorption percentage at 90°C increased by 1.331 times compared with that at 25°C in natural desorption. With the increase of water injection pressure, the effect of heating on desorption rate increased significantly. At 16 times of water injection pressure, thermal promotes the desorption, and the gas desorption rate increased by 10.72 times which is compared to room temperature. This shows that thermal could enhance the ability of coal methane desorption effectively, and inhibition effect of water injection weakens.The time effect of desorption in the process of mining coalbed methane is a very important indicator, which is the direct influence factor of the recovery efficiency. Therefore, based on the description of the desorption capacity of coalbed methane with the change of time, [5] uses the following formula to analyze the relationship between desorption rate and time under different conditions:(1)η=ηmax1−exp−tt0n.where t0 and n are the desorption median time parameters and the time effect of divergence and t is the time. The above parameters are related to experimental water pressure and type of coal.Equation (1) is transformed and can be changed to the following equation if x=t:(2)y=xt0n.According to (1) and (2), a regression analysis has been made using the experimental results, and the simulation results are shown in Table 4. It can be seen that the time-dependent parameter t0 of desorption gradually increases with the change of water injection pressure, which indicates that high-pressure water injection will affect the desorption rate of coalbed methane.Table 4
Simulation results of time effect on desorption.
Sample number
Adsorption gas pressure
Experimental stage
Simulation results from (1)
Results from (2)
R
2
1
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.01055
0.5393
y
=
0.0859
x
0.5393
0.9735
1 time
η
=
η
max
1
−
exp
−
t
/
0.017144
0.365
y
=
0.2267
x
0.365
0.8843
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.019.34
0.3743
y
=
0.227
x
0.3743
0.9244
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.00706
0.1796
y
=
0.0256
x
0.1796
0.9933
16 times
η
=
η
max
1
−
exp
−
t
/
0.00586
0.1079
y
=
2.7378
x
0.1079
0.9131
1
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.007177
0.493
y
=
0.0877
x
0.493
0.9261
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.005283
0.5988
y
=
0.0443
x
0.5988
0.9534
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.016739
0.3604
y
=
0.229
x
0.3604
0.8997
16 times
η
=
η
max
1
−
exp
−
t
/
0.086339
0.2769
y
=
0.5075
x
0.2769
0.8695
2
0.25 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.00708
0.5592
y
=
0.0628
x
0.5592
0.9836
1 time
η
=
η
max
1
−
exp
−
t
/
0.00606
0.5977
y
=
0.0473
x
0.5977
0.9464
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0011393
1.359
y
=
0.0001
x
1.359
0.9723
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001420
1.2372
y
=
0.0003
x
0.1.2372
0.9006
16 times
η
=
η
max
1
−
exp
−
t
/
0.007109
0.3814
y
=
0.1516
x
0.3814
0.8335
2
0.50 MPa
Natural desorption
η
=
η
max
1
−
exp
−
t
/
0.005252
0.6349
y
=
0.0357
x
0.6349
0.9617
1 time
η
=
η
max
1
−
exp
−
t
/
0.005112
0.6054
y
=
0.041
x
0.6054
0.9536
2.5 times
η
=
η
max
1
−
exp
−
t
/
0.0054527
0.622
y
=
0.0391
x
0.622
0.9611
6.25 times
η
=
η
max
1
−
exp
−
t
/
0.001430
1.0708
y
=
0.0009
x
1.0708
0.9475
16 times
η
=
η
max
1
−
exp
−
t
/
0.006566
0.512
y
=
0.0026
x
0.512
0.9164


## 3.2.2. The Relationship between Final Desorption Percentage and Water Injection Pressure

Desorption capacities as a function of water pressure for the two coal samples at 0.25 MPa and 0.50 MPa gas adsorption pressure are shown in Figures5 and 6, respectively. From natural desorption to 2.5 times water injection pressure and then 6.25 times water injection pressure, the desorption percentage is a gradual change in the slope of the curve, and the data change of water pressure from 6.25 times to 16 times is small and relatively straight. With the increase of multiples of injection pressure, the impact of water injection on the desorption rate is initially severe, and then gradually slows down, and finally approaches an equilibrium state. When the adsorption pressure became greater, the desorption percentage raised for same type of coal samples. This is due to the adsorption of gas that has the greater desorb potential energy and the stronger ability to breakthrough constraint of capillarity for adsorption equilibrium pressure of coal samples so that the coal samples have stronger desorption capacity.Figure 5
Desorption capacity as a function of water pressure for the two coal samples at 0.25 MPa gas adsorption pressure.Figure 6
Desorption capacity as a function of water pressure for the two coal samples at 0.50 MPa gas adsorption pressure.To reveal the final desorption percentage of natural desorption and four different water injection pressures, according to isothermal adsorption-desorption formula, one transformation of it could be introduced on the basis of experimental results of the relationship between the desorption rate and water pressure:(3)ηmax=ηdmax1−aP21+bP2.where ηdmax is the final desorption percentage (%) of the coal sample during natural desorption and a and b are the related parameters (MPa−1).Equation (3) can be changed into the following form if y=ηdmax/ηdmax−ηmax, x=1/P4:(4)y=1ax+ba.The regression analysis of the experimental results and simulation results shows in Table5 that b/a is one of the important indexes to measure the effect of water injection on gas desorption and the lower limiting value is 1, indicating that the gas desorption rate is equal to 0 when the water pressure is infinite. The value of b/a is close to 1 in this paper, indicating that the desorption rate of gassy coal will decrease with the increase of external moisture injection pressure. The desorption rate will be close to zero when the water pressure increases to a certain value.Table 5
Simulation results between desorption percentage and water injection pressure.
Sample number
Adsorption gas pressure
Simulation results of (3)
Simulation results of (4)
R
2
1
0.25 MPa
η
max
=
η
d
max
1
−
2.2492
P
4
/
1
+
2.1641
P
4
y
=
0.4446
x
+
1.0393
0.9896
2
0.50 MPa
η
max
=
η
d
max
1
−
0.7251
P
4
/
1
+
0.6699
P
4
y
=
1.379
x
+
1.0824
0.9591
1
0.25 MPa
η
max
=
η
d
max
1
−
1.2318
P
4
/
1
+
1.1777
P
4
y
=
0.8118
x
+
1.0459
0.9877
2
0.50 MPa
η
max
=
η
d
max
1
−
0.9689
P
4
/
1
+
0.9617
P
4
y
=
1.032
x
+
1.0075
0.9565The influence of moisture on coal desorption based on coal moisture content by using small particle size coal samples had been revealed in following form [20]:(5)ηd=ηdmax1−0.032M1+1.152M.where M is the water content (%).This formula is similar to this study. The water content of coal is positively correlated with the water injection pressure and can be approximated by comparison, but the value ofb/a that has been obtained is larger, indicating that the desorption rate is still about 4/5 at natural desorption when reaching saturated water content. The smaller the particle size of the coal samples is, the less the impact of external water injection on the desorption of coal is.


## 4. Discussion

The essence of gas drainage is the conversion process of gas from adsorption to free state, and this process must involve two physical quantities which are gassy potential and chemical potential produced by coalbed methane adsorption [21]. The matter always tends to transform from a state with high chemical potential to a low one. Both reducing the pressure and increasing the temperature reduce the chemical potential of the free gas, which is favorable for the gas to be converted from the adsorbed state to the free state. Gas adsorption potential is to reflect the coal surface adsorption capacity of the methane. The larger the adsorption potential energy is, the less it is easily desorbed. And the higher the temperature is, the lower the adsorption potential energy is. In view of this, adsorption pressure and desorption temperature are inevitably important factors that affect the gas from adsorption to free state transformation. Desorption capacity as a function of water pressure at 90°C for coal sample #1 is shown in Figure 7. Temperature has a promoting effect on gas desorption, and it is different from various water injection pressures.Figure 7
Desorption capacity as a function of water pressure at 90°C for coal sample #1.On the other hand, 80%–90% of methane in the actual coal seam is occluded in the pores and fissures of the coal body in the adsorbed state. Therefore, the pores and fissures are also the important factors that affect the gas desorption. The main factor of the conditions of coal seam and pore is moisture in the actual coal mine production. In summary, the pressure, temperature, and pore fissures are the key conditions for studying methane desorption. In this paper, the above conditions are studied by changing adsorption pressure, desorption temperature, and multiples of injection pressure. In these experiments, coal samples reached the wet state after desorption in different water injection pressures. The mass of coal samples as a function of water pressure after desorption for coal sample #2 is shown in Figure8. The moisture in the samples is the dominating role for increasing the mass.Figure 8
Mass of the coal sample as a function of water pressure after desorption for coal sample #2 (the initial mass of the coal sample is 1074.1 g before experiment).The larger the adsorption pressure it has, the greater the desorption pressure it will reduce, and it will be more favorable to the release of chemical potential energy and will get higher desorption rate. In this paper, 0.2 MPa adsorption pressure desorption rate was significantly higher than 0.1 MPa adsorption pressure. The heating process of Gucheng coal samples is very significant that the process of heating promoted the desorption. In this paper, it can be seen from the research of different moisture injection pressure conditions that the desorption rate is getting lower and lower with the increase of moisture injection pressure because the moisture molecules obviously block the pores and cracks in the coal through water injection and the amount of desorption energy of the molecule greatly increases, so the greater the pressure of water injection is, the more difficult it is for the gas in the pore fissure to desorb. Throughout all the experiments, it can be confirmed that moisture injection can effectively suppress the gas desorption process.


## 5. Conclusion

In this paper, based on the desorption characteristics of gas-bearing coal under different conditions, a lot of corresponding experiments have been done. We got the change regulation of desorption characteristics of gassy coal which was under different moisture injection pressures, different adsorption pressures, and different temperatures. The results show the following:The samples of Gucheng and Gaohe Coal Mine under adsorption pressure around 0.25 MPa and 0.50 MPa have different desorption capacities with different water injection pressures; 2.5, 6.25, and 16 times water injection conditions are 32.79%, 16.59%, 11.94%, and 5.29%; 46.66%, 24.03%, 17.26%, and 9.29% (Gucheng) and 56.01%, 17.33%, 7.32%, and 0.94%; 52.07%, 22.27%, 15.76%, and 12.76% (Gaohe).Heating can effectively promote gas desorption, and with the increase of water injection multiples, the promotion of heating on the desorption was more obvious. For the desorption rate in heating, equal pressure water injection, 2.5, 6.25 and 16 times water injection increased about 6 times, 6 times, 7 times, and 21 times, respectively.There is a certain time-median effect on the desorption of coal gas along with time after water injection, and it will vary with the water injection pressure. Under different water injection pressures, the final desorption rate of coalbed methane under different moisture injection pressures and natural desorption under the same conditions has a certain functional relationship.



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*Source: 3648430-2018-04-30.xml*