Liangzhou Chen1,2, Xuyao Qi1,2, Yadong Li1, Haihui Xin1, Zhongqiu Liang3. 1. Key Laboratory of Gas and Fire Control for Coal Mines, School of Safety Engineering, China University of Mining and Technology, Xuzhou 221116, China. 2. International Research Center for Underground Coal Gasification, China University of Mining and Technology, Xuzhou 221116, China. 3. CCTEG Shenyang Research Institute, Shenyang 110000, China.
Abstract
Injecting nitrogen into goaf has been widely adopted for preventing fire hazards in coal mines. In this paper, the coupling relation between different locations of negative pressure of cross-cut drainage and nitrogen injection was investigated. The minefield data collection was carried out by an in situ beam tube system on the intake airway and return airway of the mine goaf. The validated Computational Fluid Dynamics (CFD) model that was secondarily modified by on-site collected data was applied for further research. It is demonstrated that the area of the spontaneous combustion zone generally shows a sharp decline first, then tends to stabilize, and finally has a slight drop and rise with the increasing nitrogen injection time. It is obvious that the location of the negative pressure of cross-cut exerts a significant influence on the optimal nitrogen injection location and time. When the cross-cut is located in the center of the air leakage zone, spontaneous combustion zone, and asphyxiation zone of goaf, the optimal nitrogen injection location and time correspond to the P2 (25 m, 1200 min), P3 (30 m, 120 min), and P4 (35m, 1800 min), respectively. According to the simulation result, the specific relation between the optimal nitrogen injection point N(x) and the distance from the working distance of the cross-cut (x) by Newton interpolation polynomial analysis was figured out and verified that N(x) = 24.70808 + 0.293356x - 0.001436x 2. It is hoped that the result can provide scientific guidance for coal mine fire prevention and control with nitrogen injection.
Injecting nitrogen into goaf has been widely adopted for preventing fire hazards in coal mines. In this paper, the coupling relation between different locations of negative pressure of cross-cut drainage and nitrogen injection was investigated. The minefield data collection was carried out by an in situ beam tube system on the intake airway and return airway of the mine goaf. The validated Computational Fluid Dynamics (CFD) model that was secondarily modified by on-site collected data was applied for further research. It is demonstrated that the area of the spontaneous combustion zone generally shows a sharp decline first, then tends to stabilize, and finally has a slight drop and rise with the increasing nitrogen injection time. It is obvious that the location of the negative pressure of cross-cut exerts a significant influence on the optimal nitrogen injection location and time. When the cross-cut is located in the center of the air leakage zone, spontaneous combustion zone, and asphyxiation zone of goaf, the optimal nitrogen injection location and time correspond to the P2 (25 m, 1200 min), P3 (30 m, 120 min), and P4 (35m, 1800 min), respectively. According to the simulation result, the specific relation between the optimal nitrogen injection point N(x) and the distance from the working distance of the cross-cut (x) by Newton interpolation polynomial analysis was figured out and verified that N(x) = 24.70808 + 0.293356x - 0.001436x 2. It is hoped that the result can provide scientific guidance for coal mine fire prevention and control with nitrogen injection.
Coal self-heating results
in a large amount of waste of coal resources[1,2] and
produces noxious fumes, which seriously endanger underground
workers.[3,4] Under certain conditions, it often induces
methane as well as dust explosion and further leads to devastating
catastrophe.[5,6] According to statistics, about
56% of Chinese state-owned coal mines are affected by coal self-heating.[7] In the past few years, with the development of
mining equipment and technology, the mining intensity has been gradually
strengthened. At the same time, the gas extraction technology has
been energetically popularized in gas control. Under the influence
of the substantial increase in production efficiency and the gas problem,
the residual coal left in goaf and the air leakage to goaf are both
rapidly increasing, which cause the coal spontaneous combustion problem
in goaf to grow serious.Coal self-heating is essentially the
physical and chemical reactions
between coal and oxygen,[8−10] which indicate that coal self-heating
and oxygen concentration distribution in goaf are closely related.[11−15] It is reported that when the oxygen concentration in goaf is within
a certain critical range, coal spontaneous combustion will be easily
triggered.[16−18] Tutak et al.[19] investigated
the connection between goaf formed by different types of roof rocks
and the high-risk zone of coal self-heating in the Y-type ventilation
system. It indicates that the caving rock leads to the different distribution
of goaf permeability as well as the range of coal oxidation zone.
Brodny et al.[20] presented simulations of
longwall caving working face by a U-type ventilation system; it is
found that the oxygen concentration and air velocity decrease along
with the distance from mining face. Therefore, reducing the oxygen
concentration is a more feasible method to prevent coal self-heating
in goaf. At present, the common methods are to minimize the air leakage
or to use inert gas to dilute the oxygen in goaf. Recently, Szurgacz
et al.[21] developed a new material for preventing
coal mine fires that is a mixture of ash, water, and carbon dioxide.
Nitrogen is characterized by its high purity, low price, and safety
to people and the environment, and it has been extensively adopted
in preventing coal mine fires. As early as 1953, the nitrogen formed
by the canned liquid nitrogen was adopted to extinguish the coal seam
near the shaft station of the Rosslyn mine in the United Kingdom.[7] This method was introduced in China in the 1980s
and has become one of the commonly used methods for coal mine fire
control and prevention nowadays.Many kinds of research mainly
pay attention to the determination
of the various nitrogen injection parameters according to specific
conditions of a certain coal mine to achieve the best nitrogen injection
effect. Chen et al.[22] applied field test
and theoretical research to study nitrogen injection technology for
fire prevention in goaf and found that the intake side of the caving
goaf is the key area for preventing coal self-heating. Li et al.[23] analyzed the unique law of a Y-shaped ventilation
system under nitrogen injection conditions and pointed out that it
is more effective to inject nitrogen into the goaf in the inlet side.
Based on the relationship between coal spontaneous combustion, oxygen
concentration, oxidation zone width, and air leakage strength, Wen
et al.[24] quantitatively studied the variation
law of relevant parameters of gob after nitrogen injection and obtained
the optimum nitrogen injection parameter of controlling coal self-heating
in goaf. Zhu et al.[25] designed a non-interval
nitrogen injection fire extinguishing technology with a rotating traction
mode given the major defects existing in the traditionally buried
pipe nitrogen injection fire extinguishing technology, which can keep
the nitrogen injection point and the working face moving synchronously
and give full play to the best nitrogen injection effect. Zhang et
al.[26] investigated coal self-ignition in
longwall mining goaf. It determined the best plan of nitrogen injection
with a low flow rate of 122 m3/h. These investigations
are helpful to better understand the application and development of
nitrogen in coal mine fire prevention.For coal mines with high
gas emissions, to prevent the gas of mining
face from exceeding the limit, the gas extraction technology in the
goaf will be adopted to reduce the gas concentration.[27] It will result in the formation of negative pressure in
the goaf and increase the leakage of air to the goaf. Considering
this condition, some scholars investigated the problems of coexistence
of fire hazards and coal seam gas and analyzed the impact of gas drainage
in coal mining on coal spontaneous combustion.[28,29] Yu et al.[30] investigated the distribution
of ″three zones″ in the goaf under gas drainage conditions
and its impact on the spontaneous combustion of residual coal. Yang
et al.[31] studied the impact of airflow
volume and pressure changes on the coal self-heating in goaf. The
study indicated that the drainage pressure in the tail roadway can
decrease the possibility of coal self-ignition with larger airflow
volume. Luo et al.[32] analyzed the impact
of different methane drainage methods, extraction locations, and pumping
flow rates with nitrogen injection conditions on the location of coal
self-heating areas. The above research results have laid an important
foundation for studying the interaction of coal seam gas and coal
self-ignition hazard. Furthermore, some literature demonstrates the
influence of methane drainage in the high-level lane or overlying
drainage tunnel on the coal spontaneous combustion in goaf.[33−35] Nevertheless, the location and characteristics between the upper
tunnel and cross-cut are totally different, which indicate that they
will exert disparate influence on coal self-heating in goaf.In the 8104 fully mechanized mining face, the cross-cut is near
the return airway, and the distance between the cross-cut and mining
starting line is 110 m. As the working face moves forward, the pressure
caused by cross-cut will increase the leakage of air volume into goaf.
This situation is quite uncommon in coal mine goaf. On account of
the gas emission and coal self-ignition hazard, injecting nitrogen
was used to prevent fire in goaf. The location of the cross-cut and
the upper lane or overlying drainage lane is quite different. No previous
research has investigated the impact of cross-cut negative pressure
on nitrogen injection into goaf. In addition, the coupling relationship
between the location of cross-cut negative pressure and nitrogen injection
has not been proposed. Considering the underground safety, it is urgent
to find out the potential relationship between cross-cut negative
pressure and nitrogen injection, which will improve the feasibility
and economy of fire prevention. However, the negative pressure location
will move deep into the goaf as the working face moves forward, leading
to the variation of the oxygen concentration field in the goaf. At
this time, if nitrogen is pouring into the goaf, the optimal operation
location and time will change with the negative pressure location,
and there is a coupling relation between them. In this regard, until
now, no field experiments or simulations of this subject have been
reported. It is too difficult to carry out field tests in goaf due
to the fact that researchers cannot enter into the deep goaf. Accordingly,
CFD is an effective means to investigate the airflow field in coal
mine goaf.[36,37]Consequently, this paper
established an optimized 3D CFD goaf model
based on the field experiment to simulate the dynamic change in the
location of goaf negative pressure with different locations of nitrogen
injection. The relation between the optimal nitrogen injection location
and negative pressure location was determined by simulation and mathematical
analysis. It is hoped that the result can provide scientific suggestion
for coal mine fire prevention by injecting nitrogen.
On-Site Data Collection
The 8104 coal face adopts a broad
wall mining technology and a
U-shaped ventilation system. The dimension of the mining face is 120
m in width, 430 m in length, and 3.2 m in height. The gas emission
amount is 3.2 m3/min. To deal with the methane emission
in the working area, the drainage pressure of cross-cut is used to
exhaust gas.The gas is collected by the field test with the
beam tube system.
The sampling tubes are placed in the intake airway (1 and 2) and return
airway (3 and 4) as shown in Figure . To prevent the pipeline and measuring point from
being damaged by the caving rock, the protective casing pipe is laid
in two lanes, and the bundled tube and temperature measuring wire
are put into the protective casing pipe. The tubes are firmly connected
by flange joints, and the measuring equipment is wrapped by joist
steel. A WRN thermocouple and UT325 thermometer are used to measure
the temperature. The inner gas is pumped out by 2X-4 vacuum pumps.
The composition and concentration are determined by chromatography.
Every other day, the gas sample is sent to the laboratory for analysis.
In addition, the portable tester is also adopted to analyze oxygen
concentration and temperature every day.
Figure 1
Schematic diagram of
the beam tube monitoring point layout in working
face.
Schematic diagram of
the beam tube monitoring point layout in working
face.
Basic Theory of Airflow in
Goaf and the Modified
CFD Model
Transport Model of Airflow Composition
The oxygen concentration in coal mine goaf is primarily affected
by oxygen consumption with residual coal oxidation and attenuation
with coal-seam methane emission, which can be determined by the following
equation:where c represents the volume of specific gas composition s, ρ represents mass density, and Γ and P mean the diffusion
coefficient and rate of mass change, respectively.The consumption
of coal reaction with oxygen causes the decline of O2 concentration
in goaf. Therefore, coal oxidation at low temperatures is used to
present the oxygen consumption as the following equation:[38]The value of E is
12–95 kJ/mol. A represents the pre-exponential
factor. The value of α is 0.5–1.0. R and T are the gas law constant and temperature,
respectively, and C(O2) is the current
O2 concentration.
Modification and Improvement
of the CFD Model
Coal mine goaf is filled with caving rocks
as well as residual
coal, which is like the porous medium. It is reasonable to append
the source term as loss of momentum as the following equation:S means the source term of the momentum loss,
μ is the dynamic viscosity, v is the velocity in three directions, ρ
represents
density, D indicates the viscous resistance
coefficient, and C is the inertia resistance
coefficient. The inertial resistance is negligible for the low velocity
in goaf. Therefore, the equation can be reduced to:And k represents
the permeability, which can be calculated from porosity (n) by the following equation:To describe the change law
of coal mine goaf porosity with caving
roof, this paper adopts a0, a0, and b1 to modify the basic porosity equation as follows:[39]where x represents
the distance from the open-off cut, y represents
the straight-line distance from headentry toward tailentry, and Kp, max and Kp, min represent the maximum and minimum caving and bulking coefficient.
The value is determined as 1.6 and 1.1. a0 and a1 are correction factors with the
value of 0.0436 and 0.266. The value of ε is 0.358. The value
of b0 and b1 is 0.9 and 18, respectively.Based on the special condition
of the 8104 working face, the field-collected
data are used to verify and develop the traditional model. The detailed
value of the above variables is compiled as a UDF file for the further
solution in Fluent.
Detailed Parameters of
the Simulation
Based on the field measurement of the 8104
working face, the 3D simulation
model is built as shown in Figure . The maingate and tailgate are 30 m in length, 4 m
in width, and 4 m in height. The bottom of the goaf is a 4 m high
residual coal area, and the upper part is a 26 m high rock overburden
area. The goaf is built with 537,254 unstructured grid units. The
origin of the physical model is set at the joint of the mining face
and tailgate. The cross-cut is located in the center of the air leakage
zone, spontaneous combustion zone, and asphyxiation zone, respectively.
The location of N2 injection is considered to be set near
the headentry, and the distance from the working face varies from
20, 25, 30, 35, 40, 45, and 50 m, which are marked as P1–P7, respectively. The volumetric flow rate of
the air supplied to the mining working face is set as 830 m3/min, and the air volume of cross-cut is determined as 120 m3/min. The flow rate of nitrogen injection is 1200 m3/h, and the maximum injection time is 1800 min.
Figure 2
The physical model of
8104 mining face in injecting nitrogen.
The physical model of
8104 mining face in injecting nitrogen.The airflow velocity and air leakage of the goaf are relatively
low, which accord with the low Reynolds number. It is suitable for
turbulence calculation mode. Among many turbulence models, the RNG
k-ε model can better deal with flows with low Reynolds numbers
and large streamline curvatures.[40] Due
to the falling rocks in the goaf, the wind flow streamlines have a
large curvature. These are regarded as porous media domains that conform
to the RNG k-ε model, which can better describe the real gas
flow in the goaf.[41] Hence, the RNG k-ε
turbulence model is selected to describe gas migration in coal mine
goaf.The inlet of the intake airway was defined as a velocity-inlet
with an airflow speed of 1.5 m/s, the return airway was defined as
outflow, and the interface between the mining area and goaf was considered
as interior. During the calculation, the operating pressure was 101,325
Pa, and the gravity of 9.8 m/s2 was added in the negative
direction of the z axis. This simulation adopted
the pressure–velocity coupling and scheme-SIMPLE method for
further calculation. The initial iterations were set as 3500–5000,
and the convergence tolerance was defined as 10–6. The methane–air model was used in the calculation, and the
gas mixture composition was CH4, O2, CO2, and N2. The density was defined as incompressible
ideal gas, and mixing law was used to determine the specific heat
capacity. Other parameters like thermal conductivity, viscosity, and
diffusivity were set as 0.0454 w/m·k, 1.72 × 10–5 kg/m·s, and 2.88 × 10–5 m2/s, respectively.
Results and Discussion
Results of the On-Site Test
Oxygen
concentration is the main reason for coal self-ignition in mine goaf.
This paper defines 8–18% of O2 concentration as
the real indicator of a high-risk area for coal self-ignition. When
the O2 concentration is over 18%, it is regarded as the
air leakage zone, and when the O2 concentration is under
8%, it is considered the asphyxia area.
Analysis
of On-Site O2 Concentration
in Goaf
Only three sampling points worked normally during
the test; hence, we collected the practical O2 concentration
as shown in Figure .
Figure 3
Practical O2 concentration from the on-site test in
goaf.
Practical O2 concentration from the on-site test in
goaf.From Figure , when
the mining face moves forward, the O2 concentration shows
an overall downward trend. When the distance of 1# in the headentry
side and the mining face is about 13 m, the O2 concentration
becomes 17.9%, which indicates the transformation from heat dissipation
to oxidation area. As the distance becomes 58.6 m, the O2 concentration gradually decreases to 7.9%. The result shows that
13–58.6 m is the high-risk area of coal self-ignition. When
the distance of 2# in the headentry side and the mining face is about
12 m, the O2 concentration is 17.92%. As it becomes 66
m, the O2 concentration gradually decreases to 7.93%. It
indicates that 12–66 m is the high-risk area of coal self-ignition.
The above analysis illustrates that the high-risk area of coal self-ignition
near the intake airway of goaf is from 12 to 66 m. On the basis of
the same analysis of 4#, the high-risk area of coal self-ignition
near the return airway of goaf is 9–48 m.
Confirmation of Simulation Accuracy
To verify the accuracy
of simulation, the O2 concentrations
of the on-site test and simulation are compared as shown in Figure .
Figure 4
O2 concentration
of on-site test and simulation: (a)
headentry and (b) tailentry.
O2 concentration
of on-site test and simulation: (a)
headentry and (b) tailentry.Figure demonstrates
that the simulation results are in line with practical O2 concentration except when the O2 concentration is under
5%. This further illustrates the correctness of the modification and
improvement of the numerical model. The validated numerical model
is then used for further simulation of the coupling relationship between
the location of cross-cut negative pressure and nitrogen injection.
Grid Independence Verification
To ensure
mesh independence, tetrahedron grids with total grids of
181,782, 322,632, and 537,254 are adopted in this process.Figure demonstrates that
the O2 concentration under 537,254 grids is in substantial
agreement with that of 322,632 grids and 181,782 grids in the three
meshed models. The distribution rules of oxygen concentration are
evidently not influenced by the grid number, which ensure the mesh
independence in solving the problem.
Figure 5
Simulation results of 537,254, 322,632,
and 181,782 grids.
Simulation results of 537,254, 322,632,
and 181,782 grids.
Nitrogen
Injection Results and Analysis
Dynamic
Change of Spontaneous Combustion
Zone during Nitrogen Injection
To further explore the change
of O2 concentration in the goaf during the nitrogen injection,
this paper selects the contour of the simulation result during the
nitrogen injection operation in the P1 nitrogen injection
port as shown in Figure .
Figure 6
Initial steady state before N2 injection: (a) distribution
of oxygen concentration slices of Z = 0 and Y = 3 and (b) the area of the spontaneous combustion zone.
Initial steady state before N2 injection: (a) distribution
of oxygen concentration slices of Z = 0 and Y = 3 and (b) the area of the spontaneous combustion zone.The initial steady-state distribution of the O2 concentration
indicates that the range of the self-ignition zone on the side of
the return airway is obviously expanding to the coal mining face due
to the negative pressure of cross-cut. Figure demonstrates that there is an obvious positive
effect when the nitrogen injection operation is carried out for just
10 min, and the oxygen concentration distribution of the entire spontaneous
combustion zone changes significantly. A similar change trend of oxygen
concentration contour is observed in the previous literature that
adopts CO2 injection into goaf.[37] The oxygen concentration in most areas is reduced to about 10–13%,
especially in the vicinity of the injecting position, where the oxygen
concentration drops sharply below 8%. At 60 min, the area of the self-ignition
zone on the intake airway side is decreased by about 50%. At 120 min,
the length of the self-ignition zone on the inlet side is reduced
to about 5 m, which can greatly relieve the workload of fire prevention
near the intake airway side. Subsequently, the oxygen concentration
field gradually becomes steady, and the range of the spontaneous combustion
zone will not change significantly with the increase of nitrogen injection
time. When it reaches 1800 min, the area of the self-ignition zone
on the return airway side also drops noticeably. It indicates that
with the progress of nitrogen injection, the diffusion route of the
injected nitrogen gradually penetrates the cross-cut, and the drainage
pressure from cross-cut causes injected nitrogen to be discharged
from the cross-cut along the minimum path of the resistance. At this
time, nitrogen cannot diffuse in all directions of the goaf, resulting
in the decline in the nitrogen injection effect. A previous work adopting
liquid-nitrogen for coal mine goaf fire control shows the saturation
condition with the increase of injection time similarly .[39]
Figure 7
Oxidation zone with N2 injection at different
time.
Oxidation zone with N2 injection at different
time.
Best
Injecting Location and Time
To calculate the best injecting
parameters of cross-cut in three
different locations of the air leakage zone, self-ignition zone, and
asphyxiation zone, the oxygen distribution contour of each simulation
stage is recorded, and the optimal nitrogen injection parameters are
determined by calculating the area of the self-ignition zone. Subsequently,
the relation between the area of the self-ignition zone and the time
of nitrogen injection can be obtained as shown in Figure .
Figure 8
The relation between
the area of the spontaneous combustion zone
and the time of nitrogen injection. (a), (b), (c), and (d) represent
cross-cut in the middle of the air leakage zone, self-ignition zone,
asphyxiation zone, and the area of oxidation zone, respectively
The relation between
the area of the spontaneous combustion zone
and the time of nitrogen injection. (a), (b), (c), and (d) represent
cross-cut in the middle of the air leakage zone, self-ignition zone,
asphyxiation zone, and the area of oxidation zone, respectivelyIt can be seen from the curves that with the increasing
nitrogen
injection time, the self-ignition zone generally shows a sharp decline
first, then tends to stabilize, and after that has a slight drop and
rise. When the location of cross-cut is in the air leakage area, it
is evident from Figure a that the area of the spontaneous combustion zone is the minimum,
which is 2767.01 m2 with the P2nitrogen injection
port injecting at 1200 min. Between 0 and 10 min, the nitrogen injection
of P1 to P5 nitrogen injection points slightly
expands the self-ignition zone. After 10–30 min, the area of
the spontaneous combustion zone decreases sharply. Between 120 and
300 min, the self-ignition area achieves a basically stable status.
Since the location of the cross-cut is closest to the working face
under this condition, it is speculated that the injected nitrogen
has already penetrated the cross-cut to form a temporary stable equilibrium
state. The closer the nitrogen injection point and the mining face
are, the greater the self-ignition area declines, and there exists
a positive correlation between them.Figure b shows
that as cross-cut locates in the air leakage zone, the area of spontaneous
combustion zone is the lowest when the nitrogen injection point is
P3 with injecting at 120 min. The area of the spontaneous
combustion zone is 2872.19 m2, which is 37.7% lower than
the initial steady state. Between 0 and 30 min, the self-ignition
zone decreases sharply and stabilizes at a later stage. Since cross-cut
moves into the self-ignition zone, with the injection of nitrogen,
the negative pressure of cross-cut makes nitrogen diffuse to the spontaneous
combustion zone quickly and reach a steady state.Figure c demonstrates
that as cross-cut moves into the suffocating zone, the area of spontaneous
combustion zone is minimum, which is 2551.88 m2 as the
nitrogen injection point is P4 with injecting at 1800 min.
Compared with the range of self-ignition in the initial stable state,
it decreases by 34.5%. Between 0 and 30 min, the self-ignition zone
decreases sharply. But there will be a slow rising phase between 30
and 300 min. At this time, the cross-cut moves into the deep part
of the goaf, the negative pressure in the goaf is relatively high,
and the air leakage to the mining face is aggravated. The migration
of oxygen toward the goaf causes the range of self-ignition near the
working face to increase slightly.All the analyses justify
an obvious view that the location of the
pressure from cross-cut exerts a significant influence on the optimal
nitrogen injection location and time. When the cross-cut is in the
air leakage zone, self-ignition zone, and asphyxiation zone of goaf,
the optimal nitrogen injection locations correspond to the P2, P3, and P4, respectively.
Analysis of the Effect at the Optimal Injecting
Location
To analyze the influence of the optimal injecting
location on the O2 concentration distribution in the headentry
and tailentry side, the curve between oxygen concentration and working
face distance is figured out under the optimal nitrogen injection
condition as shown in Figure .
Figure 9
The relation between the oxygen concentration and working face
distance in the headentry and tailentry side. a(1) and a(2), b(1)
and b(2), and c(1) and c(2) indicate cross-cut in the middle of the
air leakage zone, self-ignition zone, and asphyxiation zone.
The relation between the oxygen concentration and working face
distance in the headentry and tailentry side. a(1) and a(2), b(1)
and b(2), and c(1) and c(2) indicate cross-cut in the middle of the
air leakage zone, self-ignition zone, and asphyxiation zone.As can be seen from Figure , nitrogen injection caused the decrease
of oxygen concentration
to varying degrees on both sides of headentry and tailentry, especially
on the side of headentry. As presented in a previous work, injecting
inert gas will cause the decline of the high-risk area of coal self-ignition.[26,37] With the increasing distance away from the mining face, the oxygen
concentration in the headentry with nitrogen injection first decreases
rapidly, reaches the lowest point at the nitrogen injection location,
and then shows a slow and small rise to a steady concentration. The
decline point is about 5 m before the nitrogen injection location,
and the steady state is about 10 m after the nitrogen injection location.
As cross-cut moves into the air leakage zone, the oxygen concentration
on the headentry side drops below 8% at about 22 m away from the working
face, which is 66.2% less than that before nitrogen injection. Similarly,
as cross-cut moves into the self-ignition zone and asphyxiation zone,
this distance is reduced by 52.6 and 41.8%, respectively. It demonstrates
that the effect of injecting nitrogen on the suppression of coal self-ignition
near the intake airway is more pronounced. Nevertheless, there exists
a certain effect on the suppression of the self-ignition area on the
return airway side, but the range of reduction is relatively small.
Determination of the Relation between the
Optimal Nitrogen Injection Point and the Location of the Cross-Cut
Since this paper chooses three cases when cross-cut is in the middle
of the air leakage zone, self-ignition zone, and asphyxiation zone,
three data points are finally obtained as (1, 25), (20, 30), and (45,
35). To further determine the optimal nitrogen injection point and
the location of the cross-cut, the Newton interpolation polynomial
is adopted for analysis. Newton’s interpolation polynomial
is based on the calculation of mean difference, which is defined as
follows.The first-order mean difference between the x and x isRecursively, we define the
second-order mean difference asThen, we can get the Newton
parabolic interpolation polynomial asCalculated by substituting
data, we can obtain f[x0, x1] = 0.2632, f[x0, x2] = 0.2, andf[x0, x1, x2] = −0.001436.Finally, we figure out that the relation between the optimal nitrogen
injection point N(x) and the distance
from the working distance of the cross-cut (x) isTo confirm the accuracy
of
the formula, we select the conditions when cross-cut is located at
30 and 60 m from the working face for simulation to determine the
optimal nitrogen injection point. As shown in Figure , when x = 30 and x = 60, the optimal nitrogen injection location is P3 (30 m, 300 min) and P4 (35 m, 1200 min), respectively.
On the other hand, according to the formula, the calculation results
of the optimal nitrogen injection location are 32.22 and 37.14 m from
the working face, which are basically in good accordance with simulation
results. Therefore, it can be concluded that the results of the formula
are quite accurate and can provide a certain guiding role in the work
of nitrogen injection for fire prevention in coal mine goaf.
Figure 10
Diagram of
formula verification: (a) simulation results of x = 30 and x = 60 m and (b) comparison
between simulation results and formula prediction.
Diagram of
formula verification: (a) simulation results of x = 30 and x = 60 m and (b) comparison
between simulation results and formula prediction.
Conclusions
On-site test and CFD simulations
were conducted to explore the
coupling relationship between the location of cross-cut negative pressure
and nitrogen injection in coal mine goaf. The following conclusive
remarks can be drafted:(1) On-site test collected data are
used to modify and develop
the traditional model by a UDF file, and the accuracy of the simulation
is proved by comparing the collected data and numerical results.(2) All the analyses justify an obvious view that the location
of the negative pressure from cross-cut has a significant influence
on the optimal nitrogen injection location and time. When the cross-cut
moves into the center of the heat dissipation zone, self-ignition
zone, and asphyxiation zone of goaf, the optimal nitrogen injection
locations correspond to the P2 (25 m, 1200 min), P3 (30 m, 120 min), and P4 (35 m, 1800 min), respectively.(3) According to the simulation result, the specific relation between
the optimal nitrogen injection point N(x) and the distance from the working distance of the cross-cut (x) was figured out by Newton interpolation polynomial analysis,
which is N(x) = 24.70808 + 0.293356x – 0.001436x2.