# Impact Assessment of Flammable Gas Dispersion and Fire Hazards from LNG Tank Leak

Authors: Lifeng Li; Jinheng Luo; Gang Wu; Xinhong Li; Nan Ji; Lixia Zhu
Journal: Mathematical Problems in Engineering
 (2021)

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## Abstract

This study conducts an impact assessment of flammable gas dispersion and fire hazards from LNG tank leak. The release source model is used to estimate LNG release rate. A CFD (computational fluid dynamics) based 3D model is established to simulate dispersion behavior of flammable gas from the phase transformation of LNG. Subsequently, a FDS (fire dynamics) based model is built to simulate the pool fire due to LNG tank leak. The impact of gas dispersion and fire on personnel and assets is assessed based on simulation results, which can provide a theoretical basis and method support for major accident assessment of tank leakage in large LNG receiving station. The results show that the dispersion of flammable gas from LNG tank leak has an obvious stage characteristic. The flammable gas reached a steady state around 300 s, and the corresponding coverage area is about 16250 m2. The pool fire simulations indicate that the steady flame is formed at 20 s. The flames flow along the wind, and the maximum temperature of the fire reaches 670°C, and the maximum thermal radiation reaches 624 kW/m2. According to the fire damage criteria, the pool fire from LNG tank leak may pose a serious threat on the safety of adjacent assets and personnel.


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## Body

## 1. Introduction

Liquefied natural gas (LNG) is characteristic by easy to leak and volatile diffusion, flammability, and explosion. Once the LNG leak accident occurs, it will have a catastrophic impact on human life, assets, and the environment. The dispersion law of combustible gas and the consequences of fire and explosion accidents have become the critical of current research to ensure safety operation of LNG storage tank.Researches on dispersion of flammable gas include field experiments, wind tunnel tests, and numerical simulation, which was carried out earlier in foreign countries. Koopman et al. [1] obtained numerous data on the dispersion distance based on Burro series of large-scale LNG leakage and dispersion experiments. Hirst and Eyre [2] studied the combustion of large gas clouds evolved from LNG and refrigerated liquid propane spills on the sea through Maplin Sands series of experiments. Brown et al. [3] detected the variation of LNG gas concentration and temperature from multiple leakage point through Falcon series of experiments. Based on wind tunnel tests, the impact on LNG release dispersion, e.g., wind speed, vortex induction, overflow rate, and leakage amount, and dangerous range can be obtained [4, 5].Numerical simulation has the advantages of low cost, short cycle, simple operation, wide application range, and easy access to comprehensive data. A lot of research studies were conducted on LNG leakage and diffusion based on CFD model. Calay and Hodlo [6] used Euler–Lagrange calculation model to simulate the evaporation and dispersion of LNG gas after injection from a circular hole. Guo et al. [7] used CFD model to study the LNG vapor dispersion law under different atmospheric stability. Luo et al. [8] proposed an integrated multiphase CFD model to simulate the LNG leakage, evaporation, and diffusion process. Saleem et al. [9] proposed a comprehensive dynamic CFD model for large-scale land-based LNG storage tanks. Zhu [10] discussed the mathematical model of the release and dispersion process in LNG leakage accidents. Qi et al. [11] simulated the vapor dispersion of LNG in the atmosphere. Zhuang [12] simulated the wind field and leakage diffusion of LNG full-capacity storage tanks. Zhang [13] studied the influence of factors, such as wind field, leak location, and leakage volume, and other factors on the LNG leakage and diffusion process in the storage tank area. Jiang [14] assessed the impact of cofferdam on LNG leakage. Zhang et al. [15] analyzed the possible hazards during transportation to LNG carriers after the accident. Zhou et al. [16] studied the characteristics of the three processes of large-scale LNG storage tank leakage, liquid pool evaporation, and gas cloud diffusion at receiving stations. Yang et al. [17] established a three-dimensional numerical model for a large LNG storage tank in an LNG receiving station in southern China.In addition, a lot of studies were devoted to the risk assessment of accident consequences. Li et al. [18] simulated the thermal response process of vertical full-capacity storage tank under different fire conditions. Sun et al. [19] and Xie et al. [20] studied the features of large LNG pool fire. Di and Chen [21] studied the development law of the flame in the set LNG fire scene. Furthermore, the hazardous area caused by LNG leakage accident, e.g., fire, explosion, and the like, can be simulated [22–24]. Based on hazardous features and main dangerous accidents, the consequence simulation and quantitative assessment on various accident can be obtained [25] and used to assess the risk of LNG storage system [26]. Some researches focus on the effect on fire or explosion accidents. Baalisampang et al. [27] proposed a methodology to model an integrated impact of evolving accident scenarios. Pio et al. [28] evaluated the effect of released fuel and its composition on the thermochemical characteristics of the small-scale LNG pool fire. Lv et al. [29] developed a correlation of the maximum explosion overpressure in the LNG storage tank area based on the momentum conservation equation and the deduced factors in the explosion test. Jujuly et al. [30] studied the effect of environmental conditions on the domino of an LNG pool fire. Wei [31] studied the impact of wind seeped and leakage location on accidents caused by fire and explosion.Although a lot of progress on assessments of LNG storage tank accidents have been made, most previous studies mainly focused on LNG leakage or fire and explosion accidents. It indicates a relatively independence between them in which there is little correlation. Thus, the cascading disaster-causing process mechanism of LNG storage tank from leakage to fire and explosion cannot be described. Process characteristics of LNG storage tank leakage fire and explosion accident still need further study. In addition, the influence of the evaporation phase variation on the dispersion process is not taken into consideration using the simplified leakage source conditions, which fails to accurately characterize the LNG dispersion process by obtained leakage rate. Therefore, the law of the phase change process caused by the temperature needs to be further studied.This article proposes an impact assessment of flammable gas dispersion and fire hazards from LNG tank leak. Based on previous research results, the phase transformation and the mechanism of cascade disaster of large-scale LNG storage tank leakage is fully taken into consideration and systematically studied to assess accident impacts. Firstly, the mechanism of LNG phase change and dispersion cascading pool fire was revealed by identifying the location distribution characteristics of large LNG storage tanks and the phase change process of leakage sources. Secondly, the risk factors of disaster chain are analyzed to obtain the impact of LNG leakage disasters on personnel, equipment, and environmental safety. Finally, a large-scale LNG leakage chain disaster assessment method based on the phase transformation dispersion cascade process of pool fire disasters is formed, which provides the theoretical basis and method support for assessing significant leakage accidents of storage tanks in large-scale LNG receiving stations.


## 2. Methodology

Figure1 presents the flowchart of impact assessment of flammable gas release, dispersion, and fire hazards from LNG tank leak. The main steps of the methodology include (1) establishing release source model; (2) mathematical model of gas evaporation and dispersion; and (3) mathematical model of fire.Figure 1
Flowchart of the proposed methodology.


### 2.1. Release Source Model

This article mainly studies the continuous leakage of the liquid phase space in the lower part of the LNG storage tank and the dispersion behavior of the LNG after the formation of a stable liquid pool on the ground. LNG storage tanks of liquid leakage rate can be calculated by the following equation:(1)QL=CdAρ12gh+2Pt−P0ρ,where QL is the leakage mass flow, kg/s; A is the hole area, m2; Cd is the liquid leakage coefficient; ρ1 is the liquid density in the storage tank, kg/m3; h is the height of the leakage location from the fluid level in the tank, m; Pt is the pressure in the storage tank, Pa; and P0 is the pressure of the external environment, Pa.When the liquid in the storage tank leaks to the ground, it will spread around with the leak source as the circle's center. If there are no obstacles in the dispersion process, the radius of the liquid pool will continue to increase and reach the maximum at a certain moment. The relationship between the radiusr of the liquid pool and the time t can be calculated by the following equation:(2)rt=t9πρ2/32gQ33/4,where Q is the mass flow rate of the liquid that leaks to the ground to form the liquid pool, kg/s, and ρ is the density of the liquid LNG, kg/m3.The LNG in the liquid pool will continue to diffuse in the atmosphere through evaporation to produce LNG vapor. Due to the low temperature of the leaked LNG, it forms a significant temperature difference with the external environment. When LNG leaks to the ground, the temperature difference with the ground will cause the liquid pool to evaporate. The main form of evaporation is heat conduction evaporation. The evaporation rate caused by heat conduction is calculated by the following equation:(3)Q1=kBT−T0Hπαt,where k is the thermal conductivity of the substance, J/(m·s·K); B is the area of the liquid pool, m2; T is the ambient temperature, K; T0 is the boiling point of the liquid under normal pressure, K; H is the latent heat of vaporization of the liquid, J/kg; and α is the thermal dispersion coefficient, m2/s; t is the evaporation time, s.


### 2.2. Mathematical Model of Gas Evaporation and Dispersion

Based on fluid mechanics theory, the flammable gas dispersion model of LNG storage tanks is built by Fluent as a tool for LNG leak diffusion process simulation. The study of LNG leakage dispersion behavior is mainly based on two aspects: the calculation of LNG leakage rate and the analysis of Characteristics of vapor cloud expansion of LNG leak. According to the leakage rate, the scope of LNG leakage and the scope of vapor cloud formation after LNG leakage, the hazard of vapor cloud after LNG leakage is studied.Fluent is used to simulate the flow process of fluids. The flow of fluids is governed by the laws of conservation of physics, and the fluid flow process is calculated through control equations. Because the LNG in this study gasifies and then forms a mixture with air after the leak, the Mixture theoretical model is selected. The governing equations include mass conservation equation, momentum conservation equation, and energy conservation equation. These three conservation equations can be expressed in a unified mathematical expression that is the governing equation (4).(4)∂∂tρφ+divρu¯φ=divΓgradφ+S,where ρ is the density, φ is the general variable, Γ is the dispersion coefficient, and S is the source term.The Realizable k-model introduces variables related to rotation and curvature in the turbulence intensity coefficient equation. This model can consider the anisotropy in the turbulent flow process and can be effectively used for curved wall flow and curved streamline flow. The expression of the Realizable k-turbulence model is as follows.K equation:(5)∂ρk∂t+∂ρkui∂xi=∂∂xiμ+μtσk⋅∂k∂xi+Gk+Gb−ρε−γM.ε equation:(6)∂ρk∂t+∂ρkui∂xj=∂∂xjμ+μtσε⋅∂k∂xj+ρC1Sc−ρC2ε2k+vε+C1εεkC3εGb,where C1ε, C3ε, C1, C2, σk, and σε are constants. C1=max0.43,η/η+5.Gk represents the turbulent energy term due to the existence of the velocity gradient:(7)Gk=−ρui′uj′¯∂uj∂ui.Gb represents the turbulent energy item due to buoyancy:(8)Gb=βgiμipτi∂T∂xi,wheregi represents the component of gravity in the direction; β represents the coefficient of thermal expansion,β=−1/ρ∂ρ/∂T; GGas=−giμγ/pγi∂ρ/∂xi, in which pγi is the Prandtl number; from the K equation, and it can be found that the turbulent kinetic energy growth trend mainly appears in the unstable layer. For stable layers, buoyancy tends to suppress turbulent flow.The dispersion behavior of LNG leakage belongs to the flow of multicomponent substances. The mass content of each substance can be predicted by iteratively solving the conservation equation of transport and dispersion of each substance. The material transport and dispersion equation are shown in the following equation:(9)∂∂tρh=∇⋅ρν¯γi=−∇⋅Ji¯,where γi is the mass content of substance i and Ji¯ is the mass dispersion rate of the substance.In the turbulent flow process, the mass dispersion equation is expressed as(10)Ji¯=−ρDi,m+μiSct∇γi.LNG is a liquid state, which is transferred with the heat of the air and gasified into natural gas. The LNG evaporation phase change model was written in FLUENT. The model proposed by Lee W H is the most widely used. The mass transfer equation of the two phases is as follows:(11)Tmix>Tsat,ml⟶v=bαlρlT−TsatTsat,Tmix<Tsat,mv⟶l=bαvρvTsat−TTsat,where Tmix is the unit temperature of the mixing zone,K; Tsat is the saturation temperature, K; ml⟶v is the phase change rate of the liquid phase into the gas phase, kg/(m3·s); mv⟶l is the phase change rate of the gas phase into the liquid phase, kg/(m3·s); and b is a factor that controls the intensity of the phase transition. According to the simulation of the hydrocarbon feedstock flow and evaporation process by Schepper et al., b is taken as 0.1 s−1; αl and αv are the surface tensions of the liquid and gas phases, respectively, N/m; and ρlandρv are the densities of liquid phase and gas phase, respectively, kg/m3.


### 2.3. Mathematical Model of Fire

FDS is a fire of driven fluid flow dynamics software. It uses FDS to model sea surface gas fire accidents, simulates fire and smoke formation by solving low Mach number NS equations, and predicts heat flow and the concentration of toxic substances produced by the fire. The large eddy simulation (LES) method considers the turbulence characteristics in the heat flow process. During the fire development process, the smoke and heat flow obey the conservation of mass, momentum, energy, and component transport equations:(12)∂ρg∂t+∇⋅ρgu=0,∂∂tρgu+∇⋅ρguu+∇p=ρgf+∇⋅τij,∂∂tρghe+∇⋅ρgheu=DpDt+q‴⟶−∇⋅q+ϕ,∂∂tρgYi+∇⋅ρgYiu=∇⋅ρgDi∇Yi+mi‴⟶,where ρg is gas density, kg/m3; t is time, s; u is the velocity vector, m/s; ∇ is the Laplace operator; p is pressure, Pa; f is the external force vector, N; τij is the viscosity vector, Pa·s; he is the enthalpy value of leakage gas components, kJ/kg; ⟶q″ is the heat release rate per unit volume of gas, kw/m3; q is radiant heat flux, kw/m2; φ is the dissipation rate, kw/m3; Yi is the mass fraction of the i-th component of the leakage gas; Di is the dispersion coefficient of the i-th component, m2/s; and ⟶mi‴ is the unit volume generation rate of the i-th component, kg/m3·s.Thermal radiation is a vital damage index of fire. The control equation of FDS thermal radiation calculation is as follows:(13)qr‴⟶≡−∇⋅qr″⟶x=kxUx−4πIbx,Ux=∫4πIx,s′ds′,where k(x) is the absorption coefficient; Ib(x) is the source term; and I(x, s) is the solution of the nonscattering grey gas radiation transport equation.


## 2.1. Release Source Model

This article mainly studies the continuous leakage of the liquid phase space in the lower part of the LNG storage tank and the dispersion behavior of the LNG after the formation of a stable liquid pool on the ground. LNG storage tanks of liquid leakage rate can be calculated by the following equation:(1)QL=CdAρ12gh+2Pt−P0ρ,where QL is the leakage mass flow, kg/s; A is the hole area, m2; Cd is the liquid leakage coefficient; ρ1 is the liquid density in the storage tank, kg/m3; h is the height of the leakage location from the fluid level in the tank, m; Pt is the pressure in the storage tank, Pa; and P0 is the pressure of the external environment, Pa.When the liquid in the storage tank leaks to the ground, it will spread around with the leak source as the circle's center. If there are no obstacles in the dispersion process, the radius of the liquid pool will continue to increase and reach the maximum at a certain moment. The relationship between the radiusr of the liquid pool and the time t can be calculated by the following equation:(2)rt=t9πρ2/32gQ33/4,where Q is the mass flow rate of the liquid that leaks to the ground to form the liquid pool, kg/s, and ρ is the density of the liquid LNG, kg/m3.The LNG in the liquid pool will continue to diffuse in the atmosphere through evaporation to produce LNG vapor. Due to the low temperature of the leaked LNG, it forms a significant temperature difference with the external environment. When LNG leaks to the ground, the temperature difference with the ground will cause the liquid pool to evaporate. The main form of evaporation is heat conduction evaporation. The evaporation rate caused by heat conduction is calculated by the following equation:(3)Q1=kBT−T0Hπαt,where k is the thermal conductivity of the substance, J/(m·s·K); B is the area of the liquid pool, m2; T is the ambient temperature, K; T0 is the boiling point of the liquid under normal pressure, K; H is the latent heat of vaporization of the liquid, J/kg; and α is the thermal dispersion coefficient, m2/s; t is the evaporation time, s.


## 2.2. Mathematical Model of Gas Evaporation and Dispersion

Based on fluid mechanics theory, the flammable gas dispersion model of LNG storage tanks is built by Fluent as a tool for LNG leak diffusion process simulation. The study of LNG leakage dispersion behavior is mainly based on two aspects: the calculation of LNG leakage rate and the analysis of Characteristics of vapor cloud expansion of LNG leak. According to the leakage rate, the scope of LNG leakage and the scope of vapor cloud formation after LNG leakage, the hazard of vapor cloud after LNG leakage is studied.Fluent is used to simulate the flow process of fluids. The flow of fluids is governed by the laws of conservation of physics, and the fluid flow process is calculated through control equations. Because the LNG in this study gasifies and then forms a mixture with air after the leak, the Mixture theoretical model is selected. The governing equations include mass conservation equation, momentum conservation equation, and energy conservation equation. These three conservation equations can be expressed in a unified mathematical expression that is the governing equation (4).(4)∂∂tρφ+divρu¯φ=divΓgradφ+S,where ρ is the density, φ is the general variable, Γ is the dispersion coefficient, and S is the source term.The Realizable k-model introduces variables related to rotation and curvature in the turbulence intensity coefficient equation. This model can consider the anisotropy in the turbulent flow process and can be effectively used for curved wall flow and curved streamline flow. The expression of the Realizable k-turbulence model is as follows.K equation:(5)∂ρk∂t+∂ρkui∂xi=∂∂xiμ+μtσk⋅∂k∂xi+Gk+Gb−ρε−γM.ε equation:(6)∂ρk∂t+∂ρkui∂xj=∂∂xjμ+μtσε⋅∂k∂xj+ρC1Sc−ρC2ε2k+vε+C1εεkC3εGb,where C1ε, C3ε, C1, C2, σk, and σε are constants. C1=max0.43,η/η+5.Gk represents the turbulent energy term due to the existence of the velocity gradient:(7)Gk=−ρui′uj′¯∂uj∂ui.Gb represents the turbulent energy item due to buoyancy:(8)Gb=βgiμipτi∂T∂xi,wheregi represents the component of gravity in the direction; β represents the coefficient of thermal expansion,β=−1/ρ∂ρ/∂T; GGas=−giμγ/pγi∂ρ/∂xi, in which pγi is the Prandtl number; from the K equation, and it can be found that the turbulent kinetic energy growth trend mainly appears in the unstable layer. For stable layers, buoyancy tends to suppress turbulent flow.The dispersion behavior of LNG leakage belongs to the flow of multicomponent substances. The mass content of each substance can be predicted by iteratively solving the conservation equation of transport and dispersion of each substance. The material transport and dispersion equation are shown in the following equation:(9)∂∂tρh=∇⋅ρν¯γi=−∇⋅Ji¯,where γi is the mass content of substance i and Ji¯ is the mass dispersion rate of the substance.In the turbulent flow process, the mass dispersion equation is expressed as(10)Ji¯=−ρDi,m+μiSct∇γi.LNG is a liquid state, which is transferred with the heat of the air and gasified into natural gas. The LNG evaporation phase change model was written in FLUENT. The model proposed by Lee W H is the most widely used. The mass transfer equation of the two phases is as follows:(11)Tmix>Tsat,ml⟶v=bαlρlT−TsatTsat,Tmix<Tsat,mv⟶l=bαvρvTsat−TTsat,where Tmix is the unit temperature of the mixing zone,K; Tsat is the saturation temperature, K; ml⟶v is the phase change rate of the liquid phase into the gas phase, kg/(m3·s); mv⟶l is the phase change rate of the gas phase into the liquid phase, kg/(m3·s); and b is a factor that controls the intensity of the phase transition. According to the simulation of the hydrocarbon feedstock flow and evaporation process by Schepper et al., b is taken as 0.1 s−1; αl and αv are the surface tensions of the liquid and gas phases, respectively, N/m; and ρlandρv are the densities of liquid phase and gas phase, respectively, kg/m3.


## 2.3. Mathematical Model of Fire

FDS is a fire of driven fluid flow dynamics software. It uses FDS to model sea surface gas fire accidents, simulates fire and smoke formation by solving low Mach number NS equations, and predicts heat flow and the concentration of toxic substances produced by the fire. The large eddy simulation (LES) method considers the turbulence characteristics in the heat flow process. During the fire development process, the smoke and heat flow obey the conservation of mass, momentum, energy, and component transport equations:(12)∂ρg∂t+∇⋅ρgu=0,∂∂tρgu+∇⋅ρguu+∇p=ρgf+∇⋅τij,∂∂tρghe+∇⋅ρgheu=DpDt+q‴⟶−∇⋅q+ϕ,∂∂tρgYi+∇⋅ρgYiu=∇⋅ρgDi∇Yi+mi‴⟶,where ρg is gas density, kg/m3; t is time, s; u is the velocity vector, m/s; ∇ is the Laplace operator; p is pressure, Pa; f is the external force vector, N; τij is the viscosity vector, Pa·s; he is the enthalpy value of leakage gas components, kJ/kg; ⟶q″ is the heat release rate per unit volume of gas, kw/m3; q is radiant heat flux, kw/m2; φ is the dissipation rate, kw/m3; Yi is the mass fraction of the i-th component of the leakage gas; Di is the dispersion coefficient of the i-th component, m2/s; and ⟶mi‴ is the unit volume generation rate of the i-th component, kg/m3·s.Thermal radiation is a vital damage index of fire. The control equation of FDS thermal radiation calculation is as follows:(13)qr‴⟶≡−∇⋅qr″⟶x=kxUx−4πIbx,Ux=∫4πIx,s′ds′,where k(x) is the absorption coefficient; Ib(x) is the source term; and I(x, s) is the solution of the nonscattering grey gas radiation transport equation.


## 3. Model Establishment

### 3.1. LNG Tank Farm

At present, my country’s LNG receiving stations generally adopt the LNG full-capacity storage tank type and most of the completed receiving stations have a capacity of 160,000 m3. The storage tank type is a full-capacity storage tank; the storage capacity is 16 × 104 m3; the storage temperature is −162°C; and the maximum liquid level is 34.6 m. The minimum liquid level is 2.9 m; and the normal working pressure range is 0.3∼0.7 MPa. Take a specific LNG receiving station as the research object for analysis. The overall overview of LNG receiving station is shown in Figure 2.Figure 2
Overall overview of LNG receiving station.


### 3.2. Dispersion Model of Combustible Gas Leakage from LNG Tank

#### 3.2.1. Determination of the Calculation Domain of Leakage Dispersion

The LNG storage tank is in a completely open environment, but due to the necessity and time problems, it is not necessary to simulate the wind field of the entire atmosphere and the gas dispersion in the simulation process. In this study, the size of the calculation area was set as 640 m × 300 m × 100 m. The LNG tank area model is established in the calculation domain, including six storage tanks. The upper storage tanks are numbered #1, #2, and #3 from left to right. The lower storage tanks are numbered #4, #5, and #6 from left to right.The numerical model adopts the finite volume method, and the process of meshing is to discretize the computational domain. The quantity and quality of meshing determine the computational time and precision, and the meshing should meet the requirements of computational accuracy, computational time, computer configuration, and other aspects. The vicinity of the leak location is a vital calculation domain for phase change and gas dispersion, and the calculation importance of the calculation domain far away from the leakage dispersion location gradually decreases, so this article uses a gradual unstructured grid to mesh the entire calculation domain. The size of the grid at the site of the leak (initial grid size) is 0.05 m, the expansion coefficient of the grid is 1.2, and the maximum grid size is 4.5 m. The meshing of the entire computational domain is shown in Figure3. The grid division near the leak is shown in Figure 4, and the total number of grids reaches 4027679.Figure 3
Overall grid model of the LNG receiving station.Figure 4
Mesh division near the leakage port.


#### 3.2.2. Boundary Conditions

(1) Setting of Wind Speed. LNG vapor cloud dispersion is mainly driven by wind. Wind direction determines the dispersion direction of methane vapor, and wind speed affects the dispersion speed of methane vapor. Because the wind is affected by the surface conditions and atmospheric temperature, the change of wind speed gradient caused by atmospheric height should be considered in the actual engineering calculation. Wind speed profile exponential equation is usually used to describe wind speed gradient changes in the environment, as shown in the following equation:(14)uz=u10Z100.091.(2) Boundary Conditions and Parameter Setting for Wind Field Calculation.(1)
Boundary condition setting: Fluent's solution process is that the data are extended from the boundary or boundary surface to the whole calculation region. Reasonable boundary conditions are the key to ensure the accuracy and correctness of the model. The setting of boundary conditions should conform to the actual situation of simulation.When the wind field in the whole calculation domain is simulated, the boundary conditions are set as shown in Table1.(2)
Pressure-velocity coupling: after the wind field is stable, the transient calculation method is used to solve the velocity distribution in the calculation domain, and SIMPLE can provide a more conservative computational convergence. Therefore, the SIMPLE algorithm is used as the pressure and velocity coupling method of the wind field.Table 1
LNG storage tank leakage and dispersion calculation area boundary types.
Boundary nameBoundary typeBoundary nameBoundary typeThe left side of computing domain (wind inlet)VELOCITY_INLETTank wallWALLLeakageWALLThe computational domain topSYMMETRYGroundWALLThe front side of computational fieldSYMMETRYThe right side of the computational domain (outlet)OUT_FLOWThe backside of the computational fieldSYMMETRY(3) Boundary Conditions and Solution Parameters of LNG Evaporation and Dispersion.(1)
Boundary condition setting: the LNG storage tank leakage dispersion boundary condition setting only needs to change the leakage port in the boundary type of the wind field calculation area, as shown in Table1. The mass flow is 436.6 kg/m³, and the other boundary types remain the same.(2)
LNG material definition: LNG is a liquid mixture, and the meaning does not exist in the material library. Therefore, the user needs to define it by himself. When determining the material, the relevant physical and chemical property data of the substance is required. The basic parameters of LNG materials are shown in Table2.Define the properties of the LNG material and write the function file by writing the Fluent database file. Place it in the Fluent working directory, the system will automatically load this database, and new materials can be provided.(3)
The setting of solution model: the LNG release and dispersion process involve three-phase air, LNG and methane, and this article chooses a Mixture model to solve the entire leakage dispersion process. The transient calculation is used to simulate the leakage dispersion, to observe the situation of LNG leakage dispersion at any moment. PISO algorithm is used for pressure and velocity coupling, which is suitable for transient calculation, ensuring the convergence of the model and speeding up the calculation speed.Table 2
LNG physical and chemical parameters.
Physical and chemical parametersNumerical valuePhysical and chemical parametersNumerical valueDensity (kg/m³)430Thermal conductivity (W/(m·K))0.21Kinematic viscosity (kg/(m·s))0.0001183Saturated vapor pressure (Pa)Piecewise function representationLatent heat of vaporization (J/kg)509332Heat release during pyrolysis (J/kg)0Vaporization temperature (K)90.7The surface tension of the droplet (N/m)0.0133Specific heat capacity (J/kg·K)2055Boiling point (K)111.66Note. The saturated vapor pressure in the table is a value that changes with temperature, which is defined by a piecewise linear function, as shown in Table 3.Table 3
LNG saturated vapor pressure piecewise linear function setting.
Split point123456Temperature (K)90.792949698100Saturated vapor (Pa)117191385317679223142787734495Split point789101112Temperature (K)102104106108110111.6Saturated vapor (Pa)4230251441620637432488389101325


### 3.3. Pool Fire Model of LNG Tank

#### 3.3.1. Determination of the Calculation Domain of Pool Fire

According to the tank farm layout in 3.2.1, a fire simulation model of the LNG receiving station tank farm is established in Pyrosim. The model is shown in Figure5. The leakage port is located on the wall of # 4 tank, which is 6 m above the ground, and is closest to # 5 tank. Liquid LNG flows out from the leak port to the bottom and generates a liquid pool. Because the temperature of the liquid LNG is very low and the outside temperature forms a large temperature difference, the liquid pool itself will continue to evaporate due to heat conduction. The radius of the ground liquid pool reaches a stable maximum when the release mass rate is equal to the evaporation rate of the liquid pool. The model in this study selects the largest liquid pool when it reaches a steady state, and this liquid pool is used in the ignition source for fire analysis.Figure 5
Tank farm model of the LNG receiving station.


#### 3.3.2. The LNG Tank Fire Simulation Parameters

(1) Fire Atmospheric Conditions Setting. The atmospheric conditions are set by the simulation settings of gas release and dispersion, and the environmental conditions of LNG tank are set according to the actual conditions as shown in Table 4.Table 4
Setting of atmospheric environment parameters of the LNG tank farm.
Wind speed (m/s)Wind directionTemperature gradient (°C/m)Atmospheric stabilityAmbient temperature (K)5S0.015Better300(2) Reaction Setting. LNG mainly contains methane, and it is used as a reactant to participate in the fire reaction.(3) Mesh Division and Distribution of Measuring Points. The boundary size of the computational domain is determined to be 640 m × 400 m × 400 m by preliminary calculation, taking into account the size of the flame and its influence range. The appropriate grid size is determined through many calculations to ensure numerical calculation prediction. The result is independent of the number of grids, considering the computational efficiency of numerical simulation. Finally, the total number of grids in the model is determined to be 2 660 000.In simulation, we are concerned about the distribution of temperature and thermal radiation near the fire, monitoring points are set at some positions of adjacent tanks to detect the real-time thermal radiation, and the corresponding temperature field distribution is obtained by analyzing the section of calculation domain. Figure6 shows the slices of the LNG tank fire simulation calculation and the distribution of monitoring points.Figure 6
Grid division of the LNG storage tank fire simulation and distribution of monitoring points.


## 3.1. LNG Tank Farm

At present, my country’s LNG receiving stations generally adopt the LNG full-capacity storage tank type and most of the completed receiving stations have a capacity of 160,000 m3. The storage tank type is a full-capacity storage tank; the storage capacity is 16 × 104 m3; the storage temperature is −162°C; and the maximum liquid level is 34.6 m. The minimum liquid level is 2.9 m; and the normal working pressure range is 0.3∼0.7 MPa. Take a specific LNG receiving station as the research object for analysis. The overall overview of LNG receiving station is shown in Figure 2.Figure 2
Overall overview of LNG receiving station.


## 3.2. Dispersion Model of Combustible Gas Leakage from LNG Tank

### 3.2.1. Determination of the Calculation Domain of Leakage Dispersion

The LNG storage tank is in a completely open environment, but due to the necessity and time problems, it is not necessary to simulate the wind field of the entire atmosphere and the gas dispersion in the simulation process. In this study, the size of the calculation area was set as 640 m × 300 m × 100 m. The LNG tank area model is established in the calculation domain, including six storage tanks. The upper storage tanks are numbered #1, #2, and #3 from left to right. The lower storage tanks are numbered #4, #5, and #6 from left to right.The numerical model adopts the finite volume method, and the process of meshing is to discretize the computational domain. The quantity and quality of meshing determine the computational time and precision, and the meshing should meet the requirements of computational accuracy, computational time, computer configuration, and other aspects. The vicinity of the leak location is a vital calculation domain for phase change and gas dispersion, and the calculation importance of the calculation domain far away from the leakage dispersion location gradually decreases, so this article uses a gradual unstructured grid to mesh the entire calculation domain. The size of the grid at the site of the leak (initial grid size) is 0.05 m, the expansion coefficient of the grid is 1.2, and the maximum grid size is 4.5 m. The meshing of the entire computational domain is shown in Figure3. The grid division near the leak is shown in Figure 4, and the total number of grids reaches 4027679.Figure 3
Overall grid model of the LNG receiving station.Figure 4
Mesh division near the leakage port.


### 3.2.2. Boundary Conditions

(1) Setting of Wind Speed. LNG vapor cloud dispersion is mainly driven by wind. Wind direction determines the dispersion direction of methane vapor, and wind speed affects the dispersion speed of methane vapor. Because the wind is affected by the surface conditions and atmospheric temperature, the change of wind speed gradient caused by atmospheric height should be considered in the actual engineering calculation. Wind speed profile exponential equation is usually used to describe wind speed gradient changes in the environment, as shown in the following equation:(14)uz=u10Z100.091.(2) Boundary Conditions and Parameter Setting for Wind Field Calculation.(1)
Boundary condition setting: Fluent's solution process is that the data are extended from the boundary or boundary surface to the whole calculation region. Reasonable boundary conditions are the key to ensure the accuracy and correctness of the model. The setting of boundary conditions should conform to the actual situation of simulation.When the wind field in the whole calculation domain is simulated, the boundary conditions are set as shown in Table1.(2)
Pressure-velocity coupling: after the wind field is stable, the transient calculation method is used to solve the velocity distribution in the calculation domain, and SIMPLE can provide a more conservative computational convergence. Therefore, the SIMPLE algorithm is used as the pressure and velocity coupling method of the wind field.Table 1
LNG storage tank leakage and dispersion calculation area boundary types.
Boundary nameBoundary typeBoundary nameBoundary typeThe left side of computing domain (wind inlet)VELOCITY_INLETTank wallWALLLeakageWALLThe computational domain topSYMMETRYGroundWALLThe front side of computational fieldSYMMETRYThe right side of the computational domain (outlet)OUT_FLOWThe backside of the computational fieldSYMMETRY(3) Boundary Conditions and Solution Parameters of LNG Evaporation and Dispersion.(1)
Boundary condition setting: the LNG storage tank leakage dispersion boundary condition setting only needs to change the leakage port in the boundary type of the wind field calculation area, as shown in Table1. The mass flow is 436.6 kg/m³, and the other boundary types remain the same.(2)
LNG material definition: LNG is a liquid mixture, and the meaning does not exist in the material library. Therefore, the user needs to define it by himself. When determining the material, the relevant physical and chemical property data of the substance is required. The basic parameters of LNG materials are shown in Table2.Define the properties of the LNG material and write the function file by writing the Fluent database file. Place it in the Fluent working directory, the system will automatically load this database, and new materials can be provided.(3)
The setting of solution model: the LNG release and dispersion process involve three-phase air, LNG and methane, and this article chooses a Mixture model to solve the entire leakage dispersion process. The transient calculation is used to simulate the leakage dispersion, to observe the situation of LNG leakage dispersion at any moment. PISO algorithm is used for pressure and velocity coupling, which is suitable for transient calculation, ensuring the convergence of the model and speeding up the calculation speed.Table 2
LNG physical and chemical parameters.
Physical and chemical parametersNumerical valuePhysical and chemical parametersNumerical valueDensity (kg/m³)430Thermal conductivity (W/(m·K))0.21Kinematic viscosity (kg/(m·s))0.0001183Saturated vapor pressure (Pa)Piecewise function representationLatent heat of vaporization (J/kg)509332Heat release during pyrolysis (J/kg)0Vaporization temperature (K)90.7The surface tension of the droplet (N/m)0.0133Specific heat capacity (J/kg·K)2055Boiling point (K)111.66Note. The saturated vapor pressure in the table is a value that changes with temperature, which is defined by a piecewise linear function, as shown in Table 3.Table 3
LNG saturated vapor pressure piecewise linear function setting.
Split point123456Temperature (K)90.792949698100Saturated vapor (Pa)117191385317679223142787734495Split point789101112Temperature (K)102104106108110111.6Saturated vapor (Pa)4230251441620637432488389101325


## 3.2.1. Determination of the Calculation Domain of Leakage Dispersion

The LNG storage tank is in a completely open environment, but due to the necessity and time problems, it is not necessary to simulate the wind field of the entire atmosphere and the gas dispersion in the simulation process. In this study, the size of the calculation area was set as 640 m × 300 m × 100 m. The LNG tank area model is established in the calculation domain, including six storage tanks. The upper storage tanks are numbered #1, #2, and #3 from left to right. The lower storage tanks are numbered #4, #5, and #6 from left to right.The numerical model adopts the finite volume method, and the process of meshing is to discretize the computational domain. The quantity and quality of meshing determine the computational time and precision, and the meshing should meet the requirements of computational accuracy, computational time, computer configuration, and other aspects. The vicinity of the leak location is a vital calculation domain for phase change and gas dispersion, and the calculation importance of the calculation domain far away from the leakage dispersion location gradually decreases, so this article uses a gradual unstructured grid to mesh the entire calculation domain. The size of the grid at the site of the leak (initial grid size) is 0.05 m, the expansion coefficient of the grid is 1.2, and the maximum grid size is 4.5 m. The meshing of the entire computational domain is shown in Figure3. The grid division near the leak is shown in Figure 4, and the total number of grids reaches 4027679.Figure 3
Overall grid model of the LNG receiving station.Figure 4
Mesh division near the leakage port.


## 3.2.2. Boundary Conditions

(1) Setting of Wind Speed. LNG vapor cloud dispersion is mainly driven by wind. Wind direction determines the dispersion direction of methane vapor, and wind speed affects the dispersion speed of methane vapor. Because the wind is affected by the surface conditions and atmospheric temperature, the change of wind speed gradient caused by atmospheric height should be considered in the actual engineering calculation. Wind speed profile exponential equation is usually used to describe wind speed gradient changes in the environment, as shown in the following equation:(14)uz=u10Z100.091.(2) Boundary Conditions and Parameter Setting for Wind Field Calculation.(1)
Boundary condition setting: Fluent's solution process is that the data are extended from the boundary or boundary surface to the whole calculation region. Reasonable boundary conditions are the key to ensure the accuracy and correctness of the model. The setting of boundary conditions should conform to the actual situation of simulation.When the wind field in the whole calculation domain is simulated, the boundary conditions are set as shown in Table1.(2)
Pressure-velocity coupling: after the wind field is stable, the transient calculation method is used to solve the velocity distribution in the calculation domain, and SIMPLE can provide a more conservative computational convergence. Therefore, the SIMPLE algorithm is used as the pressure and velocity coupling method of the wind field.Table 1
LNG storage tank leakage and dispersion calculation area boundary types.
Boundary nameBoundary typeBoundary nameBoundary typeThe left side of computing domain (wind inlet)VELOCITY_INLETTank wallWALLLeakageWALLThe computational domain topSYMMETRYGroundWALLThe front side of computational fieldSYMMETRYThe right side of the computational domain (outlet)OUT_FLOWThe backside of the computational fieldSYMMETRY(3) Boundary Conditions and Solution Parameters of LNG Evaporation and Dispersion.(1)
Boundary condition setting: the LNG storage tank leakage dispersion boundary condition setting only needs to change the leakage port in the boundary type of the wind field calculation area, as shown in Table1. The mass flow is 436.6 kg/m³, and the other boundary types remain the same.(2)
LNG material definition: LNG is a liquid mixture, and the meaning does not exist in the material library. Therefore, the user needs to define it by himself. When determining the material, the relevant physical and chemical property data of the substance is required. The basic parameters of LNG materials are shown in Table2.Define the properties of the LNG material and write the function file by writing the Fluent database file. Place it in the Fluent working directory, the system will automatically load this database, and new materials can be provided.(3)
The setting of solution model: the LNG release and dispersion process involve three-phase air, LNG and methane, and this article chooses a Mixture model to solve the entire leakage dispersion process. The transient calculation is used to simulate the leakage dispersion, to observe the situation of LNG leakage dispersion at any moment. PISO algorithm is used for pressure and velocity coupling, which is suitable for transient calculation, ensuring the convergence of the model and speeding up the calculation speed.Table 2
LNG physical and chemical parameters.
Physical and chemical parametersNumerical valuePhysical and chemical parametersNumerical valueDensity (kg/m³)430Thermal conductivity (W/(m·K))0.21Kinematic viscosity (kg/(m·s))0.0001183Saturated vapor pressure (Pa)Piecewise function representationLatent heat of vaporization (J/kg)509332Heat release during pyrolysis (J/kg)0Vaporization temperature (K)90.7The surface tension of the droplet (N/m)0.0133Specific heat capacity (J/kg·K)2055Boiling point (K)111.66Note. The saturated vapor pressure in the table is a value that changes with temperature, which is defined by a piecewise linear function, as shown in Table 3.Table 3
LNG saturated vapor pressure piecewise linear function setting.
Split point123456Temperature (K)90.792949698100Saturated vapor (Pa)117191385317679223142787734495Split point789101112Temperature (K)102104106108110111.6Saturated vapor (Pa)4230251441620637432488389101325


## 3.3. Pool Fire Model of LNG Tank

### 3.3.1. Determination of the Calculation Domain of Pool Fire

According to the tank farm layout in 3.2.1, a fire simulation model of the LNG receiving station tank farm is established in Pyrosim. The model is shown in Figure5. The leakage port is located on the wall of # 4 tank, which is 6 m above the ground, and is closest to # 5 tank. Liquid LNG flows out from the leak port to the bottom and generates a liquid pool. Because the temperature of the liquid LNG is very low and the outside temperature forms a large temperature difference, the liquid pool itself will continue to evaporate due to heat conduction. The radius of the ground liquid pool reaches a stable maximum when the release mass rate is equal to the evaporation rate of the liquid pool. The model in this study selects the largest liquid pool when it reaches a steady state, and this liquid pool is used in the ignition source for fire analysis.Figure 5
Tank farm model of the LNG receiving station.


### 3.3.2. The LNG Tank Fire Simulation Parameters

(1) Fire Atmospheric Conditions Setting. The atmospheric conditions are set by the simulation settings of gas release and dispersion, and the environmental conditions of LNG tank are set according to the actual conditions as shown in Table 4.Table 4
Setting of atmospheric environment parameters of the LNG tank farm.
Wind speed (m/s)Wind directionTemperature gradient (°C/m)Atmospheric stabilityAmbient temperature (K)5S0.015Better300(2) Reaction Setting. LNG mainly contains methane, and it is used as a reactant to participate in the fire reaction.(3) Mesh Division and Distribution of Measuring Points. The boundary size of the computational domain is determined to be 640 m × 400 m × 400 m by preliminary calculation, taking into account the size of the flame and its influence range. The appropriate grid size is determined through many calculations to ensure numerical calculation prediction. The result is independent of the number of grids, considering the computational efficiency of numerical simulation. Finally, the total number of grids in the model is determined to be 2 660 000.In simulation, we are concerned about the distribution of temperature and thermal radiation near the fire, monitoring points are set at some positions of adjacent tanks to detect the real-time thermal radiation, and the corresponding temperature field distribution is obtained by analyzing the section of calculation domain. Figure6 shows the slices of the LNG tank fire simulation calculation and the distribution of monitoring points.Figure 6
Grid division of the LNG storage tank fire simulation and distribution of monitoring points.


## 3.3.1. Determination of the Calculation Domain of Pool Fire

According to the tank farm layout in 3.2.1, a fire simulation model of the LNG receiving station tank farm is established in Pyrosim. The model is shown in Figure5. The leakage port is located on the wall of # 4 tank, which is 6 m above the ground, and is closest to # 5 tank. Liquid LNG flows out from the leak port to the bottom and generates a liquid pool. Because the temperature of the liquid LNG is very low and the outside temperature forms a large temperature difference, the liquid pool itself will continue to evaporate due to heat conduction. The radius of the ground liquid pool reaches a stable maximum when the release mass rate is equal to the evaporation rate of the liquid pool. The model in this study selects the largest liquid pool when it reaches a steady state, and this liquid pool is used in the ignition source for fire analysis.Figure 5
Tank farm model of the LNG receiving station.


## 3.3.2. The LNG Tank Fire Simulation Parameters

(1) Fire Atmospheric Conditions Setting. The atmospheric conditions are set by the simulation settings of gas release and dispersion, and the environmental conditions of LNG tank are set according to the actual conditions as shown in Table 4.Table 4
Setting of atmospheric environment parameters of the LNG tank farm.
Wind speed (m/s)Wind directionTemperature gradient (°C/m)Atmospheric stabilityAmbient temperature (K)5S0.015Better300(2) Reaction Setting. LNG mainly contains methane, and it is used as a reactant to participate in the fire reaction.(3) Mesh Division and Distribution of Measuring Points. The boundary size of the computational domain is determined to be 640 m × 400 m × 400 m by preliminary calculation, taking into account the size of the flame and its influence range. The appropriate grid size is determined through many calculations to ensure numerical calculation prediction. The result is independent of the number of grids, considering the computational efficiency of numerical simulation. Finally, the total number of grids in the model is determined to be 2 660 000.In simulation, we are concerned about the distribution of temperature and thermal radiation near the fire, monitoring points are set at some positions of adjacent tanks to detect the real-time thermal radiation, and the corresponding temperature field distribution is obtained by analyzing the section of calculation domain. Figure6 shows the slices of the LNG tank fire simulation calculation and the distribution of monitoring points.Figure 6
Grid division of the LNG storage tank fire simulation and distribution of monitoring points.


## 4. Results and Discussion

### 4.1. Calculation Results of Release

It is assumed that the leak is located at the height of 6 m above the ground. According to the relevant data on accidents in the chemical industry from 1949 to 1988 in the “Analysis and Prevention of Chemical Equipment Accidents,” the general continuous leak has a small aperture of 100 mm and a large aperture of 200 mm. In this example, 200-mm-large apertures are selected as the leakage apertures. The leakage rate, the maximum radius of the liquid tank, the time it takes for the liquid pool to reach the maximum radius, and the evaporation rate caused by heat conduction are calculated as shown in Table5 when the evaporation time is 100 s.Table 5
Leak calculation results.
Leakage aperture (mm)Leakage rate (kg/s)Maximum radius time (s)Maximum liquid pool radius (m)Evaporation rate (kg/s)200436.665.341.8675.2


### 4.2. Results of Wind Field and Dispersion Process

#### 4.2.1. Analysis of Wind Field in Tank Farm

Figure7 shows the cloud map of wind speed distribution in the LNG tank farm. The initial ambient wind speed is 5 m/s. From the horizontal wind speed distributed cloud image, we can see the wind speed distribution at different horizontal positions 35 m above the ground. From the horizontal wind speed distributed cloud image, it can find that the wind field skips both sides of the storage tank at a relatively high speed because the wind is in the arc tank of the storage tank. The flow around the wall makes the wind speed on both sides of the tank wall reach about 8 m/s. The vertical wind speed distribution cloud chart shows the wind speed at different heights in the vertical direction. Due to the positive blocking effect of the storage tank, the wind disturbance and swirling flow appear between the two storage tanks, resulting in the obvious weakening of the wind field between the two storage tanks. The wind speed was only 1 m/s, and it even appeared in some locations. The air retention phenomenon causes the wind speed to be 0 m/s. Because wind also circulates at the arc-shaped top of the storage tank, the wind speed in a large area above the top of the storage tank is relatively high, reaching about 8 m/s. There is no obstacle after the most downstream storage tank, so the low wind speed area in the downwind direction of the storage tank is extended.Figure 7
Horizontal and vertical distribution of wind speed in LNG tank farm.


#### 4.2.2. Analysis of LNG Evaporation and Dispersion Process

The hazards of LNG leakage and dispersion are mainly determined by the hazards of its combustion and explosion. The potential hazard of LNG combustion and explosion mainly depends on the dispersion range of LNG vapor cloud leakage within the explosion limit. Once the methane air mixed vapor cloud within the explosion limit meets the ignition source, it is likely to cause fire and explosion accidents, which will harm the surrounding personnel and equipment. The harm scope of vapor cloud reaching explosion limit is analyzed and studied, and scientific suggestions are put forward to reduce the harm of LNG dispersion leakage.Figures8(a)–8(f) is the distribution map of methane vapor cloud with a volume concentration of 5% at different times of LNG leakage. The dispersion behavior of methane LEL (Lower Explosion Limited) vapor cloud at the lower explosion limit can be obtained. During the expansion process of methane vapor cloud, due to the disturbing effect of wind, it is easy to accumulate and form vapor cloud in areas with relatively slow wind speed. Due to the barrier effect of the storage tanks, vapor cloud accumulation occurred in the space between #5 and #6 storage tanks. With the increase of the accumulation volume of the vapor cloud, the position of the vapor cloud slowly increased and moved toward #6. The top of the storage tank spreads gradually. Due to the high density of 5% vapor clouds, it is more susceptible to gravity to make the horizontal and vertical dispersion distances shorter than those of low-concentration vapor clouds. As shown in Figure 8(e), when t = 260, it can be seen that the range of vapor cloud in the top area of #5 storage tank is small, and most of the vapor cloud is concentrated near the ground and the wall of #5 storage tank. A large number of vapor cloud is accumulated in the middle area of #5 and #6 storage tanks, and with the accumulation of vapor cloud, the vapor cloud is gradually lifted to the top area of #6 storage tank and slowly diffuses to the top of # 6 storage tank under the action of wind; #6 storage tank is near the ground. There is a vapor cloud nearby.Figure 8
Surface of LNG vapor cloud with a volume concentration of 5%. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)Figure9 shows the change trend of methane vapor cloud area with 5% concentration over time. With the extension of the leakage time, the area of the explosive vapor cloud continues to expand. At about 300 s, the dispersion area of vapor cloud in the explosion limit is stable.Figure 9
Expansion area of LNG storage tank leaking and exploding vapor cloud.To study the distribution of vapor cloud concentration near the ground, Figures10(a)–10(f) shows the distribution of methane vapor cloud near ground concentration in different time periods. The vapor cloud within the explosion limit is close to the ground, centered on the leakage, and continuously spread in the downwind direction. The concentration of methane gas at the center is darker and more concentrated, and the concentration gradually decreases toward the two sides. In the early stage of the leak, due to the low temperature and high density of the vapor cloud, gravity was the main driving force during the dispersion process. The gas cloud was dominated by lateral distribution, and the vapor cloud was flat and wide. With the mixing of air, the density of vapor cloud gradually decreases, and the atmospheric turbulence gradually replaces the sedimentation of gravity and becomes the main driving force of gas cloud dispersion. As shown in Figure 10(f), when t = 300 s, the dispersion is stable, and it can be seen that the large area near the ground and between the two storage tanks of #5 and #6 tanks are within the explosion limit. If this area encounters an open fire, it will cause an explosion accident, and there are often frequent personnel activities and more process equipment near the ground. Therefore, the danger level in this area is high, and the personnel in this area should be given priority to evacuate as soon as possible in case of leakage.Figure 10
Methane concentration distribution near the surface of LNG leakage. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)As shown in Figure11, in the early stage of the leak, the vapor cloud within the explosion limit was mainly concentrated in the range of 0–40 m from the ground. With the disturbance of the air, it began to spread in the downward wind direction. The tank wall surface of tank #5 upwind and tank #6 downwind near the ground, and a large area between tanks #5 and #6 has been in the explosion limit range. Therefore, this area is a dangerous area that endangers people’s lives and the safety of related equipment and facilities if the explosion occurs and will become the secondary hazard unit of the domino effect of the leakage accident.Figure 11
Longitudinal distribution of gas cloud with 5% concentration of LNG storage tank leaking 300 seconds.


### 4.3. Calculation Results of Pool Fire

#### 4.3.1. Flame Development Law of Tank Side Leakage Pool Fire

As shown in Figure12(a), the LNG leaked to the ground to form a stable liquid pool, and as sighted, the liquid pool was burning violently for about 5 seconds. The flame became lenient with its dispersion, and the fire began to spread upward rapidly.Figure 12
Fire development diagram. (a)t = 5 s. (b) t = 10 s. (c) t = 20 s. (d) t = 100 s.
(a)(b)(c)(d)As shown in Figure12(b), the flame’s height has exceeded the storage tank after burning for about 10 seconds. The fire is a stage of rapid development at this moment. The blaze below the storage tank height will no longer expand to the surrounding due to the obstruction of the tank wall, and the fire above the highness of the storage tank is blocked by no obstacles around it and is insufficient contact with the air. Under the airflow action, the methane diffuses to the surroundings to make the flame lenient, and the blaze is like a mushroom cloud.As shown in Figures12(c) and 12(d), the combustion has been steady in about 20 seconds, forming a stable fire column, and the flame direction is upright. As a result of the combined action of the air generated by the flame, the flame is twisted, showing a clear S shape. There was no significant change in the fire intensity until about 100 seconds.


#### 4.3.2. Temperature Field Analysis of LNG Tank Fire

High temperature is one of the leading evaluation indicators to measure the scope of fire damage. After the fire, the temperature of the flame flow area rises rapidly, which may cause specific damage to the LNG reinforced concrete structure, other equipment, and related operators.Figure13 shows the temperature field distribution when the fire is fully developed, and the maximum temperature of the fire-affected area is about 670°C. According to the influence criteria of flue gas flame temperature on reinforced concrete structure and human body, at this temperature, the stucco layer of the LNG storage tank has all fallen off, causing cracks, the protective layer fell off, and the steel bar leaked out, and the steel lost all its strength. It can be known from the vertical section that the high-temperature area of the fire can reach up to about 150 m in the vertical direction, and the high-temperature area of the fire can be known from the horizontal section concentrated in the lower half of the area between #4 and #5 storage tanks. The influence range of fire temperature near the bottom is mainly in the wall of # 4 storage tank and # 5 storage tank and its middle area. People who work on the ground should stay away from this area as much as possible to avoid burns.Figure 13
Cross-sectional temperature field when the fire is fully developed.


#### 4.3.3. Thermal Radiation Analysis of LNG Tank Fire

Thermal radiation is a factor that has a more significant impact on personnel, equipment, and rescue. Analyzing the scope of radiation caused by fire can provide scientific suggestions for avoiding thermal radiation damage. Figure14 shows the change of heat radiation intensity of #4 and #5 tank walls affected by the fire with time. The radiation intensity fluctuates over time because the fire is in dynamic.Figure 14
Time variation of thermal radiation from tank wall of LNG storage tank. (a) Variation curve of heat radiation of #4 tank wall. (b) Variation curve of heat radiation of #5 tank wall.(1) The Influence of Heat Radiation on the Wall of #4 Storage Tank. After the fire broke out, the fire kept expanding, and the thermal radiation flux of the tank wall near the fire source began to rise. About 7 seconds after the fire, the maximum thermal radiation flux of the tank wall is about 90 kilowatts per square meter. After that, the heat radiation flux changed with time at high frequency, reaching the maximum value of 624 kilowatts per square meter in about 41 seconds and then began to fluctuate at high frequency with the general trend decreasing. At about 99 seconds, the flame started to offset, so the heat radiation flux at this time suddenly oscillated and surged to 536.5 kilowatts per square meter. After that, the flame direction changed little, and the change of thermal radiation flux has been flattening out. According to the guidelines for the damage of fire thermal radiation to the human body and equipment, the radiation intensity will have a catastrophic effect on the storage tank. A long-term fire may cause the collapse of the #4 storage tank, which will increase the fire and cause. It may cause a fire in the surrounding storage tanks, cause a domino effect, and cause a large number of casualties, forming a catastrophic accident.(2) The Influence of Heat Radiation on the Wall of #5 Storage Tank. After the fire broke out, the fire continued to expand, and the thermal radiation flux of the tank wall near the fire source began to rise rapidly. The fire occurred for about 7 seconds, and the maximum thermal radiation flux at the tank wall was about 194.5 kilowatts per square meter. Then, there was a small peak at about 16 seconds, and the thermal radiation flux was about 251.4 kilowatts per square meter. Then, the change of heat radiation flux tends to be flat. After that, the heat radiation flux began to rapidly decrease to about kilowatts per square meter. After that, the heat radiation flux began to decrease rapidly to about 65 kilowatts per square meter, and the change of heat radiation flux tended to be flat. According to the damage criterion of heat radiation flux to the human body and equipment, steel materials such as the #5 storage tank and surrounding pipelines will be seriously damaged under this heat radiation intensity. If the fire lasts for more than 30 minutes, it may cause the steel structure to collapse. People will die under the action of this heat radiation for more than 1 minute.


## 4.1. Calculation Results of Release

It is assumed that the leak is located at the height of 6 m above the ground. According to the relevant data on accidents in the chemical industry from 1949 to 1988 in the “Analysis and Prevention of Chemical Equipment Accidents,” the general continuous leak has a small aperture of 100 mm and a large aperture of 200 mm. In this example, 200-mm-large apertures are selected as the leakage apertures. The leakage rate, the maximum radius of the liquid tank, the time it takes for the liquid pool to reach the maximum radius, and the evaporation rate caused by heat conduction are calculated as shown in Table5 when the evaporation time is 100 s.Table 5
Leak calculation results.
Leakage aperture (mm)Leakage rate (kg/s)Maximum radius time (s)Maximum liquid pool radius (m)Evaporation rate (kg/s)200436.665.341.8675.2


## 4.2. Results of Wind Field and Dispersion Process

### 4.2.1. Analysis of Wind Field in Tank Farm

Figure7 shows the cloud map of wind speed distribution in the LNG tank farm. The initial ambient wind speed is 5 m/s. From the horizontal wind speed distributed cloud image, we can see the wind speed distribution at different horizontal positions 35 m above the ground. From the horizontal wind speed distributed cloud image, it can find that the wind field skips both sides of the storage tank at a relatively high speed because the wind is in the arc tank of the storage tank. The flow around the wall makes the wind speed on both sides of the tank wall reach about 8 m/s. The vertical wind speed distribution cloud chart shows the wind speed at different heights in the vertical direction. Due to the positive blocking effect of the storage tank, the wind disturbance and swirling flow appear between the two storage tanks, resulting in the obvious weakening of the wind field between the two storage tanks. The wind speed was only 1 m/s, and it even appeared in some locations. The air retention phenomenon causes the wind speed to be 0 m/s. Because wind also circulates at the arc-shaped top of the storage tank, the wind speed in a large area above the top of the storage tank is relatively high, reaching about 8 m/s. There is no obstacle after the most downstream storage tank, so the low wind speed area in the downwind direction of the storage tank is extended.Figure 7
Horizontal and vertical distribution of wind speed in LNG tank farm.


### 4.2.2. Analysis of LNG Evaporation and Dispersion Process

The hazards of LNG leakage and dispersion are mainly determined by the hazards of its combustion and explosion. The potential hazard of LNG combustion and explosion mainly depends on the dispersion range of LNG vapor cloud leakage within the explosion limit. Once the methane air mixed vapor cloud within the explosion limit meets the ignition source, it is likely to cause fire and explosion accidents, which will harm the surrounding personnel and equipment. The harm scope of vapor cloud reaching explosion limit is analyzed and studied, and scientific suggestions are put forward to reduce the harm of LNG dispersion leakage.Figures8(a)–8(f) is the distribution map of methane vapor cloud with a volume concentration of 5% at different times of LNG leakage. The dispersion behavior of methane LEL (Lower Explosion Limited) vapor cloud at the lower explosion limit can be obtained. During the expansion process of methane vapor cloud, due to the disturbing effect of wind, it is easy to accumulate and form vapor cloud in areas with relatively slow wind speed. Due to the barrier effect of the storage tanks, vapor cloud accumulation occurred in the space between #5 and #6 storage tanks. With the increase of the accumulation volume of the vapor cloud, the position of the vapor cloud slowly increased and moved toward #6. The top of the storage tank spreads gradually. Due to the high density of 5% vapor clouds, it is more susceptible to gravity to make the horizontal and vertical dispersion distances shorter than those of low-concentration vapor clouds. As shown in Figure 8(e), when t = 260, it can be seen that the range of vapor cloud in the top area of #5 storage tank is small, and most of the vapor cloud is concentrated near the ground and the wall of #5 storage tank. A large number of vapor cloud is accumulated in the middle area of #5 and #6 storage tanks, and with the accumulation of vapor cloud, the vapor cloud is gradually lifted to the top area of #6 storage tank and slowly diffuses to the top of # 6 storage tank under the action of wind; #6 storage tank is near the ground. There is a vapor cloud nearby.Figure 8
Surface of LNG vapor cloud with a volume concentration of 5%. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)Figure9 shows the change trend of methane vapor cloud area with 5% concentration over time. With the extension of the leakage time, the area of the explosive vapor cloud continues to expand. At about 300 s, the dispersion area of vapor cloud in the explosion limit is stable.Figure 9
Expansion area of LNG storage tank leaking and exploding vapor cloud.To study the distribution of vapor cloud concentration near the ground, Figures10(a)–10(f) shows the distribution of methane vapor cloud near ground concentration in different time periods. The vapor cloud within the explosion limit is close to the ground, centered on the leakage, and continuously spread in the downwind direction. The concentration of methane gas at the center is darker and more concentrated, and the concentration gradually decreases toward the two sides. In the early stage of the leak, due to the low temperature and high density of the vapor cloud, gravity was the main driving force during the dispersion process. The gas cloud was dominated by lateral distribution, and the vapor cloud was flat and wide. With the mixing of air, the density of vapor cloud gradually decreases, and the atmospheric turbulence gradually replaces the sedimentation of gravity and becomes the main driving force of gas cloud dispersion. As shown in Figure 10(f), when t = 300 s, the dispersion is stable, and it can be seen that the large area near the ground and between the two storage tanks of #5 and #6 tanks are within the explosion limit. If this area encounters an open fire, it will cause an explosion accident, and there are often frequent personnel activities and more process equipment near the ground. Therefore, the danger level in this area is high, and the personnel in this area should be given priority to evacuate as soon as possible in case of leakage.Figure 10
Methane concentration distribution near the surface of LNG leakage. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)As shown in Figure11, in the early stage of the leak, the vapor cloud within the explosion limit was mainly concentrated in the range of 0–40 m from the ground. With the disturbance of the air, it began to spread in the downward wind direction. The tank wall surface of tank #5 upwind and tank #6 downwind near the ground, and a large area between tanks #5 and #6 has been in the explosion limit range. Therefore, this area is a dangerous area that endangers people’s lives and the safety of related equipment and facilities if the explosion occurs and will become the secondary hazard unit of the domino effect of the leakage accident.Figure 11
Longitudinal distribution of gas cloud with 5% concentration of LNG storage tank leaking 300 seconds.


## 4.2.1. Analysis of Wind Field in Tank Farm

Figure7 shows the cloud map of wind speed distribution in the LNG tank farm. The initial ambient wind speed is 5 m/s. From the horizontal wind speed distributed cloud image, we can see the wind speed distribution at different horizontal positions 35 m above the ground. From the horizontal wind speed distributed cloud image, it can find that the wind field skips both sides of the storage tank at a relatively high speed because the wind is in the arc tank of the storage tank. The flow around the wall makes the wind speed on both sides of the tank wall reach about 8 m/s. The vertical wind speed distribution cloud chart shows the wind speed at different heights in the vertical direction. Due to the positive blocking effect of the storage tank, the wind disturbance and swirling flow appear between the two storage tanks, resulting in the obvious weakening of the wind field between the two storage tanks. The wind speed was only 1 m/s, and it even appeared in some locations. The air retention phenomenon causes the wind speed to be 0 m/s. Because wind also circulates at the arc-shaped top of the storage tank, the wind speed in a large area above the top of the storage tank is relatively high, reaching about 8 m/s. There is no obstacle after the most downstream storage tank, so the low wind speed area in the downwind direction of the storage tank is extended.Figure 7
Horizontal and vertical distribution of wind speed in LNG tank farm.


## 4.2.2. Analysis of LNG Evaporation and Dispersion Process

The hazards of LNG leakage and dispersion are mainly determined by the hazards of its combustion and explosion. The potential hazard of LNG combustion and explosion mainly depends on the dispersion range of LNG vapor cloud leakage within the explosion limit. Once the methane air mixed vapor cloud within the explosion limit meets the ignition source, it is likely to cause fire and explosion accidents, which will harm the surrounding personnel and equipment. The harm scope of vapor cloud reaching explosion limit is analyzed and studied, and scientific suggestions are put forward to reduce the harm of LNG dispersion leakage.Figures8(a)–8(f) is the distribution map of methane vapor cloud with a volume concentration of 5% at different times of LNG leakage. The dispersion behavior of methane LEL (Lower Explosion Limited) vapor cloud at the lower explosion limit can be obtained. During the expansion process of methane vapor cloud, due to the disturbing effect of wind, it is easy to accumulate and form vapor cloud in areas with relatively slow wind speed. Due to the barrier effect of the storage tanks, vapor cloud accumulation occurred in the space between #5 and #6 storage tanks. With the increase of the accumulation volume of the vapor cloud, the position of the vapor cloud slowly increased and moved toward #6. The top of the storage tank spreads gradually. Due to the high density of 5% vapor clouds, it is more susceptible to gravity to make the horizontal and vertical dispersion distances shorter than those of low-concentration vapor clouds. As shown in Figure 8(e), when t = 260, it can be seen that the range of vapor cloud in the top area of #5 storage tank is small, and most of the vapor cloud is concentrated near the ground and the wall of #5 storage tank. A large number of vapor cloud is accumulated in the middle area of #5 and #6 storage tanks, and with the accumulation of vapor cloud, the vapor cloud is gradually lifted to the top area of #6 storage tank and slowly diffuses to the top of # 6 storage tank under the action of wind; #6 storage tank is near the ground. There is a vapor cloud nearby.Figure 8
Surface of LNG vapor cloud with a volume concentration of 5%. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)Figure9 shows the change trend of methane vapor cloud area with 5% concentration over time. With the extension of the leakage time, the area of the explosive vapor cloud continues to expand. At about 300 s, the dispersion area of vapor cloud in the explosion limit is stable.Figure 9
Expansion area of LNG storage tank leaking and exploding vapor cloud.To study the distribution of vapor cloud concentration near the ground, Figures10(a)–10(f) shows the distribution of methane vapor cloud near ground concentration in different time periods. The vapor cloud within the explosion limit is close to the ground, centered on the leakage, and continuously spread in the downwind direction. The concentration of methane gas at the center is darker and more concentrated, and the concentration gradually decreases toward the two sides. In the early stage of the leak, due to the low temperature and high density of the vapor cloud, gravity was the main driving force during the dispersion process. The gas cloud was dominated by lateral distribution, and the vapor cloud was flat and wide. With the mixing of air, the density of vapor cloud gradually decreases, and the atmospheric turbulence gradually replaces the sedimentation of gravity and becomes the main driving force of gas cloud dispersion. As shown in Figure 10(f), when t = 300 s, the dispersion is stable, and it can be seen that the large area near the ground and between the two storage tanks of #5 and #6 tanks are within the explosion limit. If this area encounters an open fire, it will cause an explosion accident, and there are often frequent personnel activities and more process equipment near the ground. Therefore, the danger level in this area is high, and the personnel in this area should be given priority to evacuate as soon as possible in case of leakage.Figure 10
Methane concentration distribution near the surface of LNG leakage. (a)t = 50 s. (b) t = 100 s. (c) t = 150 s. (d) t = 200 s. (e) t = 260 s. (f) t = 300 s.
(a)(b)(c)(d)(e)(f)As shown in Figure11, in the early stage of the leak, the vapor cloud within the explosion limit was mainly concentrated in the range of 0–40 m from the ground. With the disturbance of the air, it began to spread in the downward wind direction. The tank wall surface of tank #5 upwind and tank #6 downwind near the ground, and a large area between tanks #5 and #6 has been in the explosion limit range. Therefore, this area is a dangerous area that endangers people’s lives and the safety of related equipment and facilities if the explosion occurs and will become the secondary hazard unit of the domino effect of the leakage accident.Figure 11
Longitudinal distribution of gas cloud with 5% concentration of LNG storage tank leaking 300 seconds.


## 4.3. Calculation Results of Pool Fire

### 4.3.1. Flame Development Law of Tank Side Leakage Pool Fire

As shown in Figure12(a), the LNG leaked to the ground to form a stable liquid pool, and as sighted, the liquid pool was burning violently for about 5 seconds. The flame became lenient with its dispersion, and the fire began to spread upward rapidly.Figure 12
Fire development diagram. (a)t = 5 s. (b) t = 10 s. (c) t = 20 s. (d) t = 100 s.
(a)(b)(c)(d)As shown in Figure12(b), the flame’s height has exceeded the storage tank after burning for about 10 seconds. The fire is a stage of rapid development at this moment. The blaze below the storage tank height will no longer expand to the surrounding due to the obstruction of the tank wall, and the fire above the highness of the storage tank is blocked by no obstacles around it and is insufficient contact with the air. Under the airflow action, the methane diffuses to the surroundings to make the flame lenient, and the blaze is like a mushroom cloud.As shown in Figures12(c) and 12(d), the combustion has been steady in about 20 seconds, forming a stable fire column, and the flame direction is upright. As a result of the combined action of the air generated by the flame, the flame is twisted, showing a clear S shape. There was no significant change in the fire intensity until about 100 seconds.


### 4.3.2. Temperature Field Analysis of LNG Tank Fire

High temperature is one of the leading evaluation indicators to measure the scope of fire damage. After the fire, the temperature of the flame flow area rises rapidly, which may cause specific damage to the LNG reinforced concrete structure, other equipment, and related operators.Figure13 shows the temperature field distribution when the fire is fully developed, and the maximum temperature of the fire-affected area is about 670°C. According to the influence criteria of flue gas flame temperature on reinforced concrete structure and human body, at this temperature, the stucco layer of the LNG storage tank has all fallen off, causing cracks, the protective layer fell off, and the steel bar leaked out, and the steel lost all its strength. It can be known from the vertical section that the high-temperature area of the fire can reach up to about 150 m in the vertical direction, and the high-temperature area of the fire can be known from the horizontal section concentrated in the lower half of the area between #4 and #5 storage tanks. The influence range of fire temperature near the bottom is mainly in the wall of # 4 storage tank and # 5 storage tank and its middle area. People who work on the ground should stay away from this area as much as possible to avoid burns.Figure 13
Cross-sectional temperature field when the fire is fully developed.


### 4.3.3. Thermal Radiation Analysis of LNG Tank Fire

Thermal radiation is a factor that has a more significant impact on personnel, equipment, and rescue. Analyzing the scope of radiation caused by fire can provide scientific suggestions for avoiding thermal radiation damage. Figure14 shows the change of heat radiation intensity of #4 and #5 tank walls affected by the fire with time. The radiation intensity fluctuates over time because the fire is in dynamic.Figure 14
Time variation of thermal radiation from tank wall of LNG storage tank. (a) Variation curve of heat radiation of #4 tank wall. (b) Variation curve of heat radiation of #5 tank wall.(1) The Influence of Heat Radiation on the Wall of #4 Storage Tank. After the fire broke out, the fire kept expanding, and the thermal radiation flux of the tank wall near the fire source began to rise. About 7 seconds after the fire, the maximum thermal radiation flux of the tank wall is about 90 kilowatts per square meter. After that, the heat radiation flux changed with time at high frequency, reaching the maximum value of 624 kilowatts per square meter in about 41 seconds and then began to fluctuate at high frequency with the general trend decreasing. At about 99 seconds, the flame started to offset, so the heat radiation flux at this time suddenly oscillated and surged to 536.5 kilowatts per square meter. After that, the flame direction changed little, and the change of thermal radiation flux has been flattening out. According to the guidelines for the damage of fire thermal radiation to the human body and equipment, the radiation intensity will have a catastrophic effect on the storage tank. A long-term fire may cause the collapse of the #4 storage tank, which will increase the fire and cause. It may cause a fire in the surrounding storage tanks, cause a domino effect, and cause a large number of casualties, forming a catastrophic accident.(2) The Influence of Heat Radiation on the Wall of #5 Storage Tank. After the fire broke out, the fire continued to expand, and the thermal radiation flux of the tank wall near the fire source began to rise rapidly. The fire occurred for about 7 seconds, and the maximum thermal radiation flux at the tank wall was about 194.5 kilowatts per square meter. Then, there was a small peak at about 16 seconds, and the thermal radiation flux was about 251.4 kilowatts per square meter. Then, the change of heat radiation flux tends to be flat. After that, the heat radiation flux began to rapidly decrease to about kilowatts per square meter. After that, the heat radiation flux began to decrease rapidly to about 65 kilowatts per square meter, and the change of heat radiation flux tended to be flat. According to the damage criterion of heat radiation flux to the human body and equipment, steel materials such as the #5 storage tank and surrounding pipelines will be seriously damaged under this heat radiation intensity. If the fire lasts for more than 30 minutes, it may cause the steel structure to collapse. People will die under the action of this heat radiation for more than 1 minute.


## 4.3.1. Flame Development Law of Tank Side Leakage Pool Fire

As shown in Figure12(a), the LNG leaked to the ground to form a stable liquid pool, and as sighted, the liquid pool was burning violently for about 5 seconds. The flame became lenient with its dispersion, and the fire began to spread upward rapidly.Figure 12
Fire development diagram. (a)t = 5 s. (b) t = 10 s. (c) t = 20 s. (d) t = 100 s.
(a)(b)(c)(d)As shown in Figure12(b), the flame’s height has exceeded the storage tank after burning for about 10 seconds. The fire is a stage of rapid development at this moment. The blaze below the storage tank height will no longer expand to the surrounding due to the obstruction of the tank wall, and the fire above the highness of the storage tank is blocked by no obstacles around it and is insufficient contact with the air. Under the airflow action, the methane diffuses to the surroundings to make the flame lenient, and the blaze is like a mushroom cloud.As shown in Figures12(c) and 12(d), the combustion has been steady in about 20 seconds, forming a stable fire column, and the flame direction is upright. As a result of the combined action of the air generated by the flame, the flame is twisted, showing a clear S shape. There was no significant change in the fire intensity until about 100 seconds.


## 4.3.2. Temperature Field Analysis of LNG Tank Fire

High temperature is one of the leading evaluation indicators to measure the scope of fire damage. After the fire, the temperature of the flame flow area rises rapidly, which may cause specific damage to the LNG reinforced concrete structure, other equipment, and related operators.Figure13 shows the temperature field distribution when the fire is fully developed, and the maximum temperature of the fire-affected area is about 670°C. According to the influence criteria of flue gas flame temperature on reinforced concrete structure and human body, at this temperature, the stucco layer of the LNG storage tank has all fallen off, causing cracks, the protective layer fell off, and the steel bar leaked out, and the steel lost all its strength. It can be known from the vertical section that the high-temperature area of the fire can reach up to about 150 m in the vertical direction, and the high-temperature area of the fire can be known from the horizontal section concentrated in the lower half of the area between #4 and #5 storage tanks. The influence range of fire temperature near the bottom is mainly in the wall of # 4 storage tank and # 5 storage tank and its middle area. People who work on the ground should stay away from this area as much as possible to avoid burns.Figure 13
Cross-sectional temperature field when the fire is fully developed.


## 4.3.3. Thermal Radiation Analysis of LNG Tank Fire

Thermal radiation is a factor that has a more significant impact on personnel, equipment, and rescue. Analyzing the scope of radiation caused by fire can provide scientific suggestions for avoiding thermal radiation damage. Figure14 shows the change of heat radiation intensity of #4 and #5 tank walls affected by the fire with time. The radiation intensity fluctuates over time because the fire is in dynamic.Figure 14
Time variation of thermal radiation from tank wall of LNG storage tank. (a) Variation curve of heat radiation of #4 tank wall. (b) Variation curve of heat radiation of #5 tank wall.(1) The Influence of Heat Radiation on the Wall of #4 Storage Tank. After the fire broke out, the fire kept expanding, and the thermal radiation flux of the tank wall near the fire source began to rise. About 7 seconds after the fire, the maximum thermal radiation flux of the tank wall is about 90 kilowatts per square meter. After that, the heat radiation flux changed with time at high frequency, reaching the maximum value of 624 kilowatts per square meter in about 41 seconds and then began to fluctuate at high frequency with the general trend decreasing. At about 99 seconds, the flame started to offset, so the heat radiation flux at this time suddenly oscillated and surged to 536.5 kilowatts per square meter. After that, the flame direction changed little, and the change of thermal radiation flux has been flattening out. According to the guidelines for the damage of fire thermal radiation to the human body and equipment, the radiation intensity will have a catastrophic effect on the storage tank. A long-term fire may cause the collapse of the #4 storage tank, which will increase the fire and cause. It may cause a fire in the surrounding storage tanks, cause a domino effect, and cause a large number of casualties, forming a catastrophic accident.(2) The Influence of Heat Radiation on the Wall of #5 Storage Tank. After the fire broke out, the fire continued to expand, and the thermal radiation flux of the tank wall near the fire source began to rise rapidly. The fire occurred for about 7 seconds, and the maximum thermal radiation flux at the tank wall was about 194.5 kilowatts per square meter. Then, there was a small peak at about 16 seconds, and the thermal radiation flux was about 251.4 kilowatts per square meter. Then, the change of heat radiation flux tends to be flat. After that, the heat radiation flux began to rapidly decrease to about kilowatts per square meter. After that, the heat radiation flux began to decrease rapidly to about 65 kilowatts per square meter, and the change of heat radiation flux tended to be flat. According to the damage criterion of heat radiation flux to the human body and equipment, steel materials such as the #5 storage tank and surrounding pipelines will be seriously damaged under this heat radiation intensity. If the fire lasts for more than 30 minutes, it may cause the steel structure to collapse. People will die under the action of this heat radiation for more than 1 minute.


## 5. Conclusion

This article builds a large-scale LNG storage tank leak chain catastrophe consequence assessment model, reveals the disaster mechanism of the LNG phase change dispersion cascade pool fire caused by the storage tank leakage, analyzes the characteristics of the LNG leakage chain disaster, obtains the impact of LNG leakage on personnel, equipment, and the impact of environmental safety. However, the purpose of this study is to present the cascading disaster due to LNG tank leak. The effect of environmental conditions on dispersion is not included in the scope of this study.When leakage lasts for about 300 s, the dispersion reaches a stable state. The flammable gas cloud coverage area is maintained at about 16,250 square meters. Fire accidents are prone to occur in the case of ignition sources, and a domino effect is formed. Damage to other storage tanks, related equipment, and operators occurs. The LNG leaked to the ground to form a stable liquid pool and was ignited. The liquid pool burned vigorously in about 5 seconds, and the flame spread to the surrounding area. The flame height was higher than the storage tank in about 10 seconds, and the fire was mushroom shaped. The combustion has been stable in about 20 s, forming a stable pillar of fire; the flame covers the whole tank top area in about 5 seconds. The maximum temperature of the fire-affected area reached about 670°C. The high-temperature area can reach a maximum of about 150 m in the vertical direction. The maximum thermal radiation of fire to the #4 storage tank is 624 kilowatts per square meter and that to the #5 storage tank is 251.4 kilowatts per square meter. The thermal radiation of #4 and #5 storage tank is greater than the maximum injury index. Long time action will cause storage tank collapse and cause a number of casualties.



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*Source: 4769552-2021-10-12.xml*