Peng Cai1, Mingzhi Li1, Zhenyi Liu1, Pengliang Li1, Yao Zhao1, Yi Zhou2. 1. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China. 2. Beijing Academy of Emergency Management Science and Technology, 101101 Beijing, China.
Abstract
Frequent occurrence of indoor natural gas explosion accidents seriously threatens the safety of people and property. To determine the law of indoor natural gas leakage and explosion hazards, based on experiment and simulation, the nature of natural gas explosion, the distribution law of natural gas volume fraction, flame propagation, temperature, and shock wave overpressure were studied. The results show that the flame structure can be divided into three zones, i.e., preheat zone, reaction zone, and product zone. OH + CO ⇔ H + CO2 is the main exothermic reaction in the combustion process. The overall distribution law of natural gas volume fraction shows that the higher the position, the greater the volume fraction, and the closer the distance to the leak source at the same height, the greater the volume fraction, and the natural gas volume fraction of the hose falling off is the largest under different leakage conditions. The difference in the wrapping structure of the kitchen package has a significant impact on the diffusion distribution of natural gas. The flame development goes through five stages of ignition, slow burning, detonation, slow burning, and extinguishing. The indoor temperature reaches about 1400 °C. Although the simulated value of shock wave overpressure is larger than the experimental value, the relationship between overpressure and distance is expressed by Y = A + B * ln(X + C). This study can provide certain technical support for natural gas accident rescue. The research can provide certain technical support for natural gas accident rescue and can also be used for accident investigation to form the determination procedure and method of leakage location and leakage amount.
Frequent occurrence of indoor natural gas explosion accidents seriously threatens the safety of people and property. To determine the law of indoor natural gas leakage and explosion hazards, based on experiment and simulation, the nature of natural gas explosion, the distribution law of natural gas volume fraction, flame propagation, temperature, and shock wave overpressure were studied. The results show that the flame structure can be divided into three zones, i.e., preheat zone, reaction zone, and product zone. OH + CO ⇔ H + CO2 is the main exothermic reaction in the combustion process. The overall distribution law of natural gas volume fraction shows that the higher the position, the greater the volume fraction, and the closer the distance to the leak source at the same height, the greater the volume fraction, and the natural gas volume fraction of the hose falling off is the largest under different leakage conditions. The difference in the wrapping structure of the kitchen package has a significant impact on the diffusion distribution of natural gas. The flame development goes through five stages of ignition, slow burning, detonation, slow burning, and extinguishing. The indoor temperature reaches about 1400 °C. Although the simulated value of shock wave overpressure is larger than the experimental value, the relationship between overpressure and distance is expressed by Y = A + B * ln(X + C). This study can provide certain technical support for natural gas accident rescue. The research can provide certain technical support for natural gas accident rescue and can also be used for accident investigation to form the determination procedure and method of leakage location and leakage amount.
With the rapid advancement
of urbanization, natural gas consumption
has developed rapidly. Due to the continuous reconstruction and expansion
of natural gas pipelines, the increase in the number of people who
use gas, and the aging of equipment, natural gas explosion accidents
have occurred from time to time.[1−4] According to relevant statistics, in 2021, there
were 401 natural gas explosion accidents in China, resulting in 76
deaths and ∼507 injuries. Among them, there were 205 indoor
natural gas explosions, mainly concentrated in residential users,
accounting for 51%. It can be seen that the safety of natural gas
use by residents in China cannot be ignored. Therefore, revealing
the reaction mechanism of natural gas combustion, determining the
law of natural gas leakage and diffusion, and mastering explosion
hazards contribute to safe use of gas.[5−7]Essentially, gas
explosion is a fierce redox reaction accompanied
by light and heat, and the explosion process is a typical combustion
process with pressure waves.[8−10] At present, there are many studies
on the mechanism of methane combustion, including the GRI 3.0 mechanism,[11] the Berkeley mechanism,[12] the Leeds 1.5 mechanism,[13] the USC 2.0
mechanism,[14] etc. Among them, the rationality
and reliability of the GRI 3.0 mechanism have been verified by a large
number of experiments. It is the most widely used mechanism and is
suitable for the combustion reaction of CH4 and CH4-based natural gas.[15−17] Nie[18] used a closed homogeneous 0-D reactor to obtain the profiles of
four reactants, toxic gases, and free radicals in the process of gas
explosion. The results showed that the O2 concentration
decreases from 19 to 2% at a stoichiometric ratio, which could not
support normal respiration after explosion. Wang et al.[19] studied the explosion characteristics of methane
near the explosion limit based on GRI-mech3.0 and found that with
the increase in the volume fraction of the mixed gas, the peak flame
temperature and the flammability exponent gradually increased when
approaching the lower flammability limit. Experiments can clarify
the law of accidents objectively and accurately.[20−22] Li et al.[23] conducted a small-scale gas cloud explosion
experiment through a balloon and determined that the overpressure
and maximum flame velocity increase with the size of the gas cloud,
and the relationship is not linear and cannot be used to predict large-scale
gas explosions. Zhou et al.[24] investigated
the effect of built-in obstacles on unconfined methane explosion in
a 1 m3 cubic frame. The results showed that the overpressure
wave traveled slower and the maximum overpressure could almost keep
constant in the near field. Akram et al.[25] used meso-scale diverging channels to study the flame propagation
velocity of methane–air premixed gas and observed planar flames
near the flash back limit. Yang et al.[26] carried out a large-scale urban shallow buried pipe trench methane
gas explosion experiment. The results show that the overpressure is
the largest when the methane concentration is 9.5%, and adding vents
to the top of the pipe trench significantly reduced the upstream overpressure
and overall impulse. Gu et al.[27] studied
the propagation law of methane explosion characteristics in the non-premixed
region. The experimental research results indicated that an obvious
secondary explosion pressure occurs at L/D = 3.5. The experiment is
often restricted by factors such as personnel safety and high cost;
numerical simulation has unique advantages in visualization and reducing
research costs, especially in destructive experiments.[28−30] CFD is widely used in gas explosion experiments, especially the
LES simulation method, which has a high degree of matching with the
experimental results.[31−33] Ivings et al.[34] determined
that the volume fraction of flammable gas largely depends on the release
rate of flammable gas and ventilation rate. Wang et al.[35] simulated the leakage and diffusion law of natural
gas in the tunnel based on FLUENT and proposed the emergency accident
ventilation for different pipeline pressures and leak sizes. Fu et
al.[36] studied the relationship between
the distribution law of gas concentration and leakage diameter, internal
pressure, and wind speed. Wang et al.[37] used CFD to simulate the hazards of a natural gas leak and explosion
of the East Harlem gas explosion in Manhattan, New York, and the simulation
results are consistent with the actual accident results. Li et al.[38] used FLACS to simulate the characteristics of
gas explosion in a natural gas compartment of the urban utility tunnel.
Song et al.[39] studied the consequences
of gas explosion accidents in residential buildings, and the effects
of vent area ratio and broken pressure of glasses were investigated
to propose the effective risk reduction measures.From the current
research, it can be clearly found that there are
many achievements in natural gas leakage and explosion, but most of
the research only adopts one of the methods of experiment or numerical
simulation, which cannot fully determine the hazards of natural gas
leakage and explosion. In addition, the current experiments are often
small-scale experiments or open spaces. There are almost no natural
gas diffusion and explosion experiments for full-scale closed indoor
scenarios, and the two scenarios are quite different. According to
Li’s[23] conclusion, there is a nonlinear
relationship between overpressure and gas cloud size. Therefore, the
obtained rules cannot accurately describe the natural gas leakage
and explosion process in a full-scale closed indoor room. Moreover,
most of the full-scale explosion research only adopts numerical simulation.Therefore, the paper adopts two methods of experiment and simulation
to study the hazard of natural gas leakage and explosion. The research
established a full-size model of 2 m × 4 m × 2.6 m, revealed
the reaction mechanism of natural gas combustion, analyzed the evolution
law of the natural gas volume fraction under different leakage conditions,
and studied the flame propagation process and shock wave overpressure
(P); the relationship between the maximum explosion
shock wave overpressure (Pmax) and the
distance under different volume fractions was determined. The research
can provide a basis for the calculation of key parameters of natural
gas explosion accidents and safety measures and can also be applied
to accident investigations to determine the location of natural gas
leakage points, ignition sources, leakage time, and leakage amount.
Settings of Experimental Conditions and Simulation
Boundary Conditions
Experimental Conditions
The layout
of the experimental platform is shown in Figure . The platform consists of the following
systems: natural gas volume fraction real-time monitoring system,
explosive shock wave pressure experiment system, explosion field temperature
experiment system, an ignition synchronization trigger, etc. The synchronous
trigger detonator provides 10 J of energy for electric fire and synchronously
triggers the data acquisition system. The length, width, and height
of the houses are 4, 2, and 2.6 m, respectively. The main component
of natural gas is methane, and other components are relatively small.
Without affecting the experimental results, this study uses methane
instead of natural gas to improve efficiency. The intake pressure
was set to 2.5 kPa according to the natural gas user terminal pressure.
At the same time, through the analysis of natural gas leakage accidents,
four main types of leakage were set up for research, i.e., the hose
falls off, the switch is not closed tightly, corrosion cracks, and
the hard object penetrates the natural gas pipeline. To ensure the
safety of the experiment, all experiments are carried out in the outdoor
experimental base.
Figure 1
Layout of the experimental platform.
Layout of the experimental platform.
Simulation Boundary Condition
CHEMKIN
The laminar flame velocity
of a methane/air mixture with an equivalence ratio of 1 is about 0.4
m/s. The laminar flame velocity is much lower than the speed of sound,
and the Mach number is much less than 1. Therefore, a one-dimensional
laminar premixed flame model is chosen to solve. The one-dimensional
laminar premixed flame model can display the flame structure and calculate
the flame velocity.[40,41] Therefore, the diffusion transport
of components plays an important role in this process.[42]The continuity equation is shown in eq The composition equation is shown in eq (18)The component transport equation is shown
in eq The gas state equation is shown in eq where Ṁ is the mass
flow rate, kg·s–1; ρ is the density,
kg·m–3; u is the flow rate
of the mixture, m·s–1; A is
the cross-sectional area of flame propagation, m2; Y is the mass fraction of the
component n; c is the heat capacity
of mixture, J·kg–1·K–1; ω̇ is the net formation
rate of the component n, kg·m–3·s–1; W is the molecular weight of the component n, kg·mol–1; kg is the total number of species; x is the spatial
coordinate, m; V is the diffusion velocity
of the component n, m·s–1; p is the pressure, Pa; W̅ is the
average molecular weight of the mixture, kg·mol–1; and R is the universal gas constant, J·mol–1·K–1.
FLUENT
Natural gas diffusion is
a two-phase flow problem. FLUENT is widely used in the flow field.[43,44] Natural gas leakage and diffusion are simulated by FLUENT.The mass conservation equation is shown in eq In the inertial coordinate system, the momentum
conservation equation in the i direction is shown
in eq The energy equation is shown in eq where ρ is the density, kg·m–3; u is the fluid velocity in the
direction of the coordinate axis, m·s–1; Sm is the mass that the sparse phase adds to
the continuous phase—it is 0 in single-phase flow; P is the static pressure; ρg and Fi are the
gravitational body force and other body forces (such as from the interaction
between two phases), respectively, and Fi can also include other model source terms or custom source terms;
τij is stress tensor, ; keff is the
effective thermal conductivity (turbulent thermal conductivity is
defined according to the turbulent flow model). h is the enthalpy of component j′; J is the diffusive flux of component j′;Sh is the source term that includes the heat
of chemical reaction and other volumetric heat sources. The first
three terms on the right side of the energy equation are the thermal
conductivity phase, the component diffusion phase, and the viscous
dissipation term, respectivelywhere, for the ideal gas, ; for incompressible gases, ; m is the mass fraction of component j′; , Tref = 298.15
K.To close the basic governing equations of fluid dynamics
and solve
them, a turbulence model is used in conjunction with the above equations.
In this paper, the standard k – ε model
is selected for calculation.The k equation
is shown in eq The ε equation is shown in eq where k is the turbulent
kinetic energy, J; ε is the
dissipation rate of the turbulent kinetic energy; μ is the turbulent viscosity coefficient,
m2·s–1; Gk is the turbulent kinetic energy due to the mean velocity gradient, Gb is the turbulent kinetic energy due to buoyancy
effects, YM is the effect of the compressible
turbulent pulsation expansion on the overall dissipation rate; and C1, C2, and C3 are constants.According to
the experimental layout and the current kitchen decoration
trend, a full-scale kitchen model with a length of 4 m, a width of
2 m, and a height of 2.6 m was constructed, and two kitchen structures
were set up, including no kitchen wrapping structure and kitchen wrapping
structure. The specific settings are shown in Table . The boundary type of the inlet is set to
pressure inlet, and the inlet pressure of CH4 is 2.5 kPa.
Table 1
Settings of Simulation Conditions
kitchen structure
leak
form and location
without kitchen wrapping structure
the hose falls off/in kitchen
cabinet
the switch is not closed tightly/in kitchen cabinet
cracks in the natural gas pipeline due to corrosion/indoor
with kitchen wrapping structure
the hose falls off/in kitchen
cabinet
the switch is not closed tightly/in kitchen cabinet
cracks in the natural gas pipeline due to corrosion/in kitchen
wrapping structure
the valve body assembly
is not tightly matched/indoor
FLACS
FLACS is the industry standard
for CFD explosion simulation, which can accurately predict the consequences
of accidents.[45,46] During the FLACS solution process,
the gas deflagration is set as the heating and expansion of an ideal
gas, and the gas dynamics can be represented by a series of equations
such as the continuity equation, the momentum equation, and the energy
equation. The basic equations included in the mathematical model are:
continuity equation, momentum equation, energy equation, turbulent
kinetic energy equation, turbulent kinetic energy dissipation rate
equation, fuel composition equation, and mixture composition equation,
and the unified form of the mathematical model is as shown in eq ((47,48)where φ is a general
variable representing the velocity components u, v, and w, turbulent kinetic energy k, the rate of turbulent kinetic energy ε, enthalpy h, flammable gas mass fraction Y, etc.; Γφ is the exchange coefficient of flux φ and Sφ is the energy source term.In the process
of establishing the numerical model, the turbulent combustion time-averaged
equations are used to describe the flow field, the k – ε turbulence model is used to describe the turbulent
flow changes in the combustion process, and the β-flame model
is used to describe the combustion reaction rate changes during the
combustion process which can improve the three-dimensional numerical
model of the flammable gas explosion in the confined space.The reaction rates of the fuel of the β-flame model are shown
in eqs ( and (13)(49,50)where Rfuel is
the reaction rate of fuel; CβR is
the dimensionless constant of the β-flame model; S is the burning flame speed, m·s–1; Δ
is the side length of the control body, m; c is the
dimensionless process variable; and Yf0 is the initial fuel mass fraction present in the current control
volume, dimensionless.FLACS is used to simulate the explosion
of premixed gas clouds
with different natural gas volume fractions, which are 5, 7.5, 9.5,
12, and 13.5%, respectively. Three measuring points are set at 0.5,
1, 1.5, 2, and 2.5 m from the door. The specific boundary conditions
are set as shown in Table .
Table 2
Boundary Condition Settings for FLACS
boundary condition
settings
boundary
condition
settings
TMAX
–1
HEAT_SWITCH
1
LAST
–1
temperature/°C
25
CFLC
2.5
ambient pressure/Pa
101 325
CFLV
0.5
time of ignition/s
0.05
Results and Discussion
Results of the Chemical Reaction Mechanism
The research used GRI 3.0 and USC 2.0 to study the reaction mechanism
of methane combustion; the one-dimensional laminar premixed flame
model was used for calculation. The initial pressure was 0.1 MPa,
the ambient temperature was 298 K, and the reaction zone was 0.3 cm.Figure shows the
spatial distribution of mole fractions of main components and flame
temperature in the methane combustion process at a concentration of
9.5%. The combustion reaction processes obtained by GRI 3.0 and USC
2.0 are almost identical, which proves the accuracy of obtaining the
methane combustion mechanism. The abscissa flame height represents
different positions of the entire flame structure. It can be clearly
seen that the entire flame structure is divided into three areas:
from left to right are the preheat area, the reaction area, and the
product area. In the preheating zone, the temperature will not rise
basically, the consumption of reactants is very small, and a certain
concentration of free radicals will accumulate in this area at the
beginning of the reaction. After entering the reaction zone, the temperature
gradually increases. The initial temperature increase is caused by
the reaction to generate H2O. At this time, no CO2 is generated. As the reaction progresses, CO is gradually generated
and reacts with OH to generate CO2 by OH + CO ⇔
H + CO2. This reaction is also the main exothermic reaction
in the methane combustion process, and it can be seen that the temperature
starts to rise rapidly at this time. In the product zone, the concentration
of each component reaches an equilibrium state. It should be noted
that even at the stoichiometric concentration, the oxygen is not completely
consumed, this is because the CO is not completely oxidized, and there
is a small amount of CO in the equilibrium state. Carbon monoxide
can cause poisoning in humans, and the degree of poisoning depends
on the inhaled dose, which is determined by the concentration and
exposure time. The final CO value is about 2.1%, and people exposed
to this environment will die quickly. And, as can be seen from the
CO history during the natural gas explosion, the CO concentration
experienced a sudden increase and then decreased to a stable value,
which can be attributed to the pyrolysis of CH4, and the
generated CO was then partially oxidized.
Figure 2
Mole fraction of main
components and the spatial distribution of
flame temperature in the combustion process of methane with the concentration
of 9.5%.
Mole fraction of main
components and the spatial distribution of
flame temperature in the combustion process of methane with the concentration
of 9.5%.
Results of the Experiment
Distribution Law of Natural Gas Concentration
As shown in Figure , in the form of natural gas hose falling off, natural gas is first
detected at about 200 s. The natural gas concentration reaches the
lower explosion limit after 1096 s of leakage, and the natural gas
volume fraction is stable at about 2300 s, up to 7.1%. When the switch
is not closed tightly, natural gas is detected at around 550 s at
the earliest. The earliest time to reach the lower limit of explosion
is 4670 s, and the volume fraction is stable at around 9000 s, reaching
5.8%. In the form of corrosion crack leakage, natural gas is first
detected at about 400 s, the concentration of natural gas at the roof
above the gas stove reaches the lower explosion limit for the first
time at 3018 s, and the volume fraction is stable at about 6000 s,
reaching 6%. In the form of small hole leakage, natural gas is first
detected at about 450 s, the concentration of natural gas reaches
the lower explosion limit at 5131 s, and the volume fraction is stable
at about 8300 s, reaching 5.7%. It can be seen that the amount of
natural gas leakage per unit time is the largest in the form of natural
gas hose falling off and the natural gas volume fraction increases
the fastest, the value is the highest, and the damage is the most
serious. When the gas hose falls off and leaks, it takes the shortest
leakage time to cause an explosion, and when a hard object breaks
through the natural gas pipeline to form a small hole leak, the leakage
time required to cause an explosion is the longest, which is about
4.7 times that of the former.
Figure 3
Evolution law of natural gas volume fraction.
Evolution law of natural gas volume fraction.By analyzing the law of natural gas leakage and
diffusion, it can
be seen that the natural gas volume fraction of the leakage increases
faster in the initial stage, and the volume fraction increases slowly
until stable due to the gaps between doors and windows. In a stable
state, the gas volume fraction of each measuring point exceeds the
lower explosive limit (5%) when the leakage source is inside the kitchen
cabinet. When the leak source is indoors, the volume fraction of other
measuring points except natural gas kitchen cabinets exceeds the lower
explosive limit. The reason for the lower volume fraction of the natural
gas kitchen cabinet is the height of the leakage source; especially,
the location of the small hole leakage source is higher than the natural
gas kitchen cabinet surface, so that no natural gas is detected at
the natural gas kitchen cabinet. On the whole, the distribution law
of natural gas volume fraction shows that the higher the measuring
point, the larger the volume fraction, and the closer the measuring
point of the same height is to the leakage source, the larger the
volume fraction, which is consistent with Chen’s[51] conclusion. Analyzing the evolution law of natural
gas concentration distribution at different leakage locations is helpful
to determine the location of leakage and accidents.
Process of Natural Gas Explosion
Figure shows the
explosion process with the natural gas concentration of 9.5%. Since
the ignition head releases about 10 J of energy, which is relatively
small, natural gas has experienced three stages of slow combustion,
deflagration, and slow combustion within 6 s from the ignition. It
can be seen that after ignition, a fireball is formed with the ignition
source as the center. Except for the ignition source, due to the drop
of the ignition head, fire sources appear in many areas at 0.2 s,
and the fireball formed by the fire source continuously ignites the
surrounding natural gas and forms a light blue spherical flame. The
flame burning releases a lot of energy, the internal pressure of the
unburned area affected by high temperature increases, generating a
pressure gradient and forming a precursor shock wave, which widens
the width of the door gap, and the flame is ejected from the door
gap at 0.4 s. The shock wave and flame surface generated by multiple
light blue spherical flames constantly superimpose and disturb the
unburned area, speeding up the combustion chemical reaction rate.
The increase in the chemical reaction rate not only promotes the generation
of shock waves but also releases a lot of energy, both of which are
positive feedback mechanism, resulting in the 0.8 s flame being ejected
from the window. At this time, the gas cloud is disturbed by external
factors, and the combustion chemical reaction is intensified. The
flame develops from slow combustion to deflagration, and the color
changes from light blue to bright white. The maximum distance of flame
injection exceeds 2.5 m. After ignition for 2.8 s, the flame no longer
sprays from the window on the door frame, and the spray time lasts
∼2.4 s. As the fuel is exhausted, the combustion state develops
into slow combustion, and the flame gradually dissipates until it
is completely extinguished at 8 s.
Figure 4
Flame propagation process.
Flame propagation process.Temperature sensors were arranged at the center
of the indoor space
and at the middle position of the windowed wall 1 m above the ground. Figure shows the temperature
changes at two measuring points. Through the analysis of the temperature–time
curve and the flame diffusion process, an open flame is quickly generated
in the room after ignition. Since the center of the room is close
to the ignition source, the temperature of the center of the room
reaches its peak at 0.0812 s, and the peak temperature reaches 1440
°C. The temperature of the measuring point on the wall reaches
its peak value of 1386 °C at 0.5778 s. The peak time of the measuring
point on the wall is delayed by 0.4966 s from the peak time of the
indoor central measuring point, and the peak temperature is reduced
by about 54 °C. Based on the simulation, Cen et al.[52] obtained the indoor temperature of the natural
gas explosion. The temperature is about 1900 °C, which is higher
than the temperature data obtained by the experiment. This is because
the simulation is an ideal condition, but in reality, the gas cannot
react completely, and the sensor has a certain delay, the explosion
process is very short, and it is difficult to achieve real-time measurement.
The temperature data obtained from the experiment is enough to prove
that the explosion can cause a secondary fire. A temperature of 700
°C is enough to ignite most plastic products, with a duration
of 4.58 s for the center of the room above 700 °C, and 2.75 s
for the wall measuring point. Comparing the temperature curves of
the two measuring points, it can be found that the temperature of
the measuring point at the wall shows a downward trend after reaching
the peak value, while the indoor center position fluctuates repeatedly
above 1000 °C. This phenomenon is because the unburned gas cloud
and high-temperature combustion products are ejected from the room
and pass through the indoor center during the movement. The repeated
passing of the flame surface and the superposition of high-temperature
products cause the indoor center to maintain a high temperature for
a long time. Long-term high temperature can cause the burning of indoor
fabrics, plastics, and other materials, leading to secondary fires
and further increasing the risk of natural gas leakage and the probability
of death. Relatively speaking, the central location of the room is
more dangerous.
Figure 5
Evolution of indoor temperature.
Evolution of indoor temperature.As we all know, the shock wave overpressure of
50 kPa can cause
serious damage to internal organs or even death and large cracks in
the wall. As shown in Figure (a), the overpressure reaches peak at 1.44 s at 1.5 m from
the door, which is 34.13 kPa, and the overpressure peak is 8.36 kPa
at 1.65 s at 2.5 m from the door. Because the sensor at 1 m away from
the door was disturbed by the flame sprayed from the door glass, no
valid data was measured, and the flame acceleration process could
not be judged. Pressure sensors located in the room also failed to
detect data due to the flame. Based on the bending degree of the structural
steel beam shown in Figure b, it can be explained that the shock wave overpressure in
the room is greater than 50 kPa. The shock wave causes a high probability
of death and huge damage to the house structure.
Figure 6
Hazards of explosive
shock wave.
Hazards of explosive
shock wave.
Results of Numerical Simulation
The lower limit of the explosion of natural gas at normal temperature
and pressure is 5%, so the maximum value of rainbow live is set to
5%, indicating that the areas where the concentration of natural gas
exceeds 5% are displayed in red.It can be seen from Figure that the evolution
law of the natural gas volume fraction of different leakage forms
is different. The volume fraction of natural gas in the form of hose
shedding and leakage has increased the fastest. The volume fraction
of natural gas in the kitchen cabinet exceeds 5% at 300 s, and the
volume fraction of natural gas above 1.3 m above the ground exceeds
5% at 3000 s. In the steady state, the volume fraction of the leaking
form of the corrosive cracks is similar to the leaking form of the
unclosed switch, and the volume fraction of the natural gas above
1.6 m above the ground is more than 5%. Although the distribution
of natural gas volume fractions of different leakage forms is different,
they have some commonalities: natural gas in the indoor headspace
accumulates to form a natural gas–air premixed layer. As the
leakage time increases, the area of the premixed layer, the thickness,
and the volume fraction increase. The gas volume fraction does not
increase all the time due to gaps in the house, and it will form an
equilibrium state in the room.
Figure 7
Evolution of volume fraction of natural
gas without the kitchen
wrapping structure. (1) Natural gas volume fraction without kitchen
wrapping structure.
Evolution of volume fraction of natural
gas without the kitchen
wrapping structure. (1) Natural gas volume fraction without kitchen
wrapping structure.The simulation shows the evolution law of the indoor
natural gas
volume fraction. It can be seen from Figure c that, under the influence of gravity, the
natural gas mainly diffuses to the upper space after being ejected
from the leak under the condition of corrosion crack leakage. Under
the action of the initial velocity, the natural gas diffuses laterally,
but the diffusion distance is short, which leads to a low volume fraction
of natural gas at the gas stove, which explains and verifies the reason
why the volume fraction at the gas stove does not exceed the lower
explosion limit under the experimental conditions. In the case that
the switch is not tightly closed and the corrosion cracks, the horizontal
height of 1.6 m from the ground is the boundary layer, the volume
fraction of the upper space exceeds the lower explosion limit, and
the volume fraction of the lower space does not reach the lower explosion
limit. It can be seen from Figure b,c that the volume fraction of the light switch vibrates
slightly around 5%, and the light switch is 1.5 m away from the ground,
which is close to the height of the boundary line of the simulation
results, and the simulation results can objectively reflect the experimental
process. And the indoor natural gas volume fraction is the highest
when the hose falls off, which is consistent with the experimental
results. Therefore, the study of natural gas diffusion under other
conditions can be carried out based on the simulation method.From Figure a,d,
it can be seen that the kitchen wrapping structure limits the diffusion
of natural gas. In the steady state, the volume fraction of natural
gas in the space enclosed by the kitchen wrapping structure exceeds
the lower explosive limit, while the volume fraction of indoor space
areas is less than 3%. Due to the kitchen wrapping structure constraint,
natural gas does not pass through the indoor space when it diffuses
to the top, but directly diffuses to the top through the kitchen wrapping
structure, which reduces the lateral diffusion in the room, resulting
in the volume fraction of indoor natural gas being smaller than that
of no kitchen wrapping structure. The valve body assembly of gas stoves
is not tightly matched, the leakage source is located indoors, and
the volume fraction of natural gas in the space enclosed by the kitchen
wrapping structure is much smaller than indoor natural gas volume
fraction. Therefore, kitchen wrapping structure and leak location
have decisive influence on indoor space natural gas concentration.
The evolution law of natural gas volume fraction under the condition
of unclosed switch and corrosion cracks is similar to the evolution
law of natural gas volume fraction under the condition of the hose
falling off, and the main difference is the time to reach the steady
state and the volume fraction of the steady state. The indoor natural
gas volume fraction is the highest under the condition of the hose
falling off, followed by corrosion crack leakage, and the indoor natural
gas volume fraction is less than 1% when the switch is not tightly
closed. However, the volume fraction of natural gas in the space enclosed
by the kitchen wrapping structure exceeded the lower explosion limit
under the three leakage conditions.
Figure 8
Evolution of volume fraction of natural
gas with the kitchen wrapping
structure. (2) Natural gas volume fraction with kitchen wrapping structure.
Evolution of volume fraction of natural
gas with the kitchen wrapping
structure. (2) Natural gas volume fraction with kitchen wrapping structure.
Simulation of Natural Gas Explosion Shock
Wave
Figure shows the values of different concentrations of natural gas explosions
at different locations. Yang[53] studied
the explosion overpressure when the natural gas volume fraction was
9.5, and the indoor overpressure exceeded 100 kPa, which is close
to the overpressure value in Figure . The results were different due to the inconsistency
of the room size, pressure relief pressure, and pressure relief port
surface size. When the natural gas volume fraction is 9.5%, the shock
wave overpressure is 41.7 and 12.3 kPa at 1.5 and 2.5 m away from
the door, respectively. Compared with the experimental values, the
simulated values are larger. This is because the experiment was carried
out in the field, and environmental factors interfered more. The simulation
is based on theoretical calculations and does not fully consider external
interference factors, but the simulation results can still reflect
the development law of shock wave overpressure. The relationship between
shock wave overpressure and distance for different concentrations
of natural gas explosions is fitted, and there is a logarithmic relationship
between shock wave overpressure and distance, which can be expressed
by Y = A + B *
ln(X + C), and the correlation coefficients
are all above 0.99, as shown in Figure . The equation based on the fitting can predict the
explosion risk more clearly and provide certain technical guidance
for accident rescue.
Figure 9
Relationship between shock wave overpressure and distance
under
different natural gas concentrations.
Relationship between shock wave overpressure and distance
under
different natural gas concentrations.The paper studies the distribution law of natural
gas concentration
under different leakage conditions through experiments and simulations
and finally guides the safe use of natural gas. For example, 304 stainless
steel gas bellows are used instead of hoses and timely replacement
of gas stoves that have exceeded their service life. In particular,
engineers of natural gas companies can optimize the location of natural
gas alarms according to the research, quickly and accurately find
the location of leaks, and prevent explosions. At the same time, it
is not recommended to wrap the natural gas pipeline. The kitchen wrapping
hinders the ventilation and causes the accumulation of natural gas.
In addition, people cannot directly contact the high-concentration
natural gas, which is easy to produce paralysis and carelessness.
If the pipeline is in a harsh environment, the pipeline must be sealed
to avoid being hit; the installation and layout of the alarm can be
planned and designed according to the research. Moreover, according
to the traces of fire and the degree of damage to buildings caused
by shock waves, the research can provide a basis for the calculation
of key parameters of natural gas explosion accidents and can also
be applied to accident investigations to determine the location of
natural gas leakage points, ignition sources, leakage time, and leakage
amount.
Conclusions
In the present study, the
chemical reaction mechanism of natural
gas combustion, the law of leakage and diffusion, and the law of flame
propagation and shock wave propagation in the explosion process were
studied through experiments and simulations. The main conclusions
are as follows.The flame structure can be divided
into three zones, i.e., the preheat zone, the reaction zone, and the
product zone. OH + CO ⇔ H + CO2 is the main exothermic
reaction in the methane combustion process, and oxygen is not completely
consumed even at stoichiometric concentrations.The distribution law of natural gas
volume fraction as a whole shows the characteristics that the higher
the position, the larger the volume fraction, and the closer the point
of the same height is to the leakage source, the greater the volume
fraction, and the natural gas volume fraction of the hose shedding
leakage is the highest. With the kitchen wrapping structure, the volume
fraction of natural gas in the ceiling space exceeds the lower explosive
limit when the leakage source is in the wrapping structure,and the
volume fraction of natural gas in the room directly in contact is
small. And the wrapping structure obstructs ventilation, so it is
not recommended to wrap the natural gas pipeline. If the pipeline
is in a harsh environment, the pipeline must be sealed to avoid being
hit; the installation and layout of the alarm can be planned and designed
according to the research.The flame development has gone through
five stages of ignition, slow burning, detonation, slow burning and
extinction. During deflagration, the color of the flame changes from
light blue to bright white. The indoor temperature reaches about 1400
°C. The simulated value of shock wave overpressure is slightly
larger than the experimental value. However, the simulation results
can still reflect the evolution law of shock waves, and the relationship
between overpressure and distance can be expressed by Y = A + B * ln(X + C). According to the traces of fire and the degree of damage to buildings
caused by shock waves, the research can provide a basis for the calculation
of key parameters of natural gas explosion accidents.In the study, the natural gas leakage
and explosion scene is set as a full-size single enclosed kitchen.
In the future, research on the natural gas leakage and explosion mechanism,
process, and effect of the whole indoor structure scene of civil buildings
can be carried out. The shock wave can be derived from the explosion
effect, and then the natural gas volume fraction can be determined
to obtain the leakage amount. The location of the leak is determined
through the explosion site inspection, and the amount of leakage is
determined based on the evolution law of the natural gas volume fraction
under different leakage conditions studied in this paper and the data
recorded by the natural gas alarm. Mutual verification of the two
forms the research results of the indoor natural gas leakage and explosion
accident.