Heat and Mass Transfer

, Volume 52, Issue 12, pp 2723–2734 | Cite as

3-D simulation of gases transport under condition of inert gas injection into goaf

  • Mao-Xi Liu
  • Guo-Qing ShiEmail author
  • Zhixiong GuoEmail author
  • Yan-Ming Wang
  • Li-Yang Ma


To prevent coal spontaneous combustion in mines, it is paramount to understand O2 gas distribution under condition of inert gas injection into goaf. In this study, the goaf was modeled as a 3-D porous medium based on stress distribution. The variation of O2 distribution influenced by CO2 or N2 injection was simulated based on the multi-component gases transport and the Navier–Stokes equations using Fluent. The numerical results without inert gas injection were compared with field measurements to validate the simulation model. Simulations with inert gas injection show that CO2 gas mainly accumulates at the goaf floor level; however, a notable portion of N2 gas moves upward. The evolution of the spontaneous combustion risky zone with continuous inert gas injection can be classified into three phases: slow inerting phase, rapid accelerating inerting phase, and stable inerting phase. The asphyxia zone with CO2 injection is about 1.25–2.4 times larger than that with N2 injection. The efficacy of preventing and putting out mine fires is strongly related with the inert gas injecting position. Ideal injections are located in the oxidation zone or the transitional zone between oxidation zone and heat dissipation zone.


Coal Seam Spontaneous Combustion Oxidation Zone Dangerous Zone Mine Fire 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols




Attenuation rate in the tendency direction


Attenuation rate in the srike direction

b0, b1

Adjusting parameters


Mass concentration


Diffusivity (m2s−1)


Activation energy (kJ/mol)

\( \overrightarrow {g} \)

Vector of gravity (ms−2)


Height (m)

\( K \)

Coefficient of rock dilatation

\( K_{p,\hbox{max} } \)

Initial caving coefficient

\( K_{p,\hbox{min} } \)

Coefficient of bulk increase


Permeability (m2)

\( k_{0} \)

Base permeability (m2)


Length (m)

\( \dot{m} \)

Mass generation rate (kg/m3s)

\( P \)

Pressure (N/m2)


Ideal gas constant

\( S \)

Source term


Temperature (K)

\( t \)

Time (s)

\( \varvec{u} \)

Velocity vector

\( u,\,v,\,w \)

Velocity components (m/s)


Width (m)

x, y, z

Spatial coordinates

Greek symbols

\( \alpha \)

Reaction constant

\( \varepsilon \)

Adjusting parameter




Dynamic viscosity [kg/(m s)]


Density of the gas mixture (kg/m3)



Gas component



This research was supported by the National Natural Science Foundation of China (Grant Nos. 51104154 and 51134020), Central Subordinate University Basic Scientific Research Foundation (2011QNA05) and CUMT Innovation and Entrepreneurship Fund for Undergraduates (201403 and 201503).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.College of Safety EngineeringChina University of Mine TechnologyXuzhouChina
  2. 2.Department of Mechanical and Aerospace EngineeringRutgers, State University of New JerseyPiscatawayUSA

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