# Adaptive Control Strategy and Model of Gas-Drainage Parameters in Coal Seam

^{1}

^{2}

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## Abstract

**:**

## 1. Introduction

## 2. Current Situation of Intelligent Gas Drainage

## 3. Adaptive Regulation Method and Strategy of Gas-Drainage Parameters

## 4. Adaptive Regulation Model and Criterion of Gas-Drainage Parameters

#### 4.1. Pipe Network Flow Field Calculation Model

#### 4.2. Regulation Criteria of Pipe Network Parameters

_{CO}is the CO gas concentration, and T

_{L}and ${c}_{\left(\mathrm{CO}\right)\mathrm{L}}$ are, respectively, the critical values of the corresponding temperature and CO gas index. According to the relevant regulations on coal mine safety, ${T}_{\mathrm{L}}$ = 350 K, and ${c}_{\left(\mathrm{CO}\right)\mathrm{L}\text{}}$ = 24 ppm; once the $T$ or ${c}_{\mathrm{CO}}$ reaches critical value, the control valve should be immediately closed to stop drainage, and the causes should be checked and analyzed.

^{3}/min [28].

_{4}concentration and the pure flow maximum, and $f\left(p\right)$ is the adaptive control function of optimal negative pressure.

_{4}concentration, gas flow, negative pressure, CO concentration, and temperature sensors to monitor online the gas-drainage parameters of the pipe network or borehole field;

_{4}concentration in the pipe network is greater than 30%, and the gas flow is too small, ${\mathrm{Max}(Q}_{{\mathrm{CH}}_{4}})$ needs to be taken as the goal of optimization and regulation. If the pure gas flow meets the requirements, it will no longer be regulated;

_{4}concentration in the pipe network is less than 30%, $\mathrm{Max}({c}_{{\mathrm{CH}}_{4}})$ needs to be taken as the goal of optimal regulation;

_{4}in the pipe network is less than 16%, the regulation is ended, and the drainage is stopped.

#### 4.3. Adaptive Optimization Algorithm

**Pb_X**=

**X**simultaneously.

**.**

## 5. Numerical Simulation of Gas-Drainage Adaptive Control

#### 5.1. Physical Models and Boundaries

^{3}/s, $\beta $ is the CH

_{4}attenuation coefficient in the borehole, and t is the time.

^{3}/s; ${Q}_{\mathrm{A}}$ is the initial gas flow in the borehole field, m

^{3}/s; ${Q}_{\mathrm{air}}$ is the air leakage of the borehole field, m

^{3}/s; ${P}_{1}$ is the inlet pressure of the borehole field, Pa; and $R={(\sum _{i=1}^{n}{{{R}^{\prime}}_{i}}^{-1})}^{-1}$ is the air-leakage resistance coefficient of the borehole field, $\text{}\mathrm{Pa}\cdot \mathrm{s}\cdot {\mathrm{m}}^{-3}$.

^{3}/s.

#### 5.2. Numerical Calculation and Analysis

^{3}/s, and gas attenuation coefficient ${\beta}_{1}$ was $0.005$ d

^{−1}. The initial net gas flow of borehole field 2 was 0.155 m

^{3}/s, and the gas attenuation coefficient ${\beta}_{2}$ was $\text{}0.007\mathrm{d}$

^{−1}. The initial net gas flow of borehole field 3 was 0.13 m

^{3}/s, and the gas attenuation coefficient ${\beta}_{3}$ was $0.004$ d

^{−1}. Air-leakage resistance coefficients of three borehole fields (${R}_{1},\text{}{R}_{2},\text{}\mathrm{and}{R}_{3}$) were $\mathrm{100,000}\mathrm{Pa}\cdot \mathrm{s}\cdot {\mathrm{m}}^{-3}$. The other basic parameters of the model calculation are shown in Table 1.

## 6. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

- Karacan, C.Ö.; Ruiz, F.A.; Cotè, M.; Phipps, S. Coal mine methane: A review of capture and utilization practices with benefits to mining safety and to greenhouse gas reduction. Int. J. Coal Geol.
**2011**, 86, 121–156. [Google Scholar] [CrossRef] - Liu, S.; Li, X.; Wang, D.; Zhang, D. Investigations on the mechanism of the microstructural evolution of different coal ranks under liquid nitrogen cold soaking. Energy Sources Part A Recovery Util. Environ. Eff.
**2020**, 7, 1–17. [Google Scholar] [CrossRef] - Xia, T.Q.; He, J.F.; Li, Z.L.; Sun, X.-Y.; Sun, D.S.; Lu, J.H.; Cui, H.J. Cocompetitive Characteristics and Quantitative Design of Engineering Parameters for Coal Gas Predrainage Boreholes. Geofluids
**2022**, 2022, 5943321. [Google Scholar] [CrossRef] - Li, X.L.; Chen, S.J.; Zhang, Q.M.; Gao, X.; Feng, F. Research on theory, simulation and measurement of stress behavior under regenerated roof condition. Geomech. Eng.
**2021**, 26, 49–61. [Google Scholar] - Liu, H.Y.; Zhang, B.Y.; Li, X.L. Research on roof damage mechanism and control technology of gob-side entry retaining under close distance gob. Eng. Fail. Anal.
**2022**, 138, 106331. [Google Scholar] [CrossRef] - Wang, E.Y.; Zhang, G.R.; Zhang, C.L.; Li, Z.H. Research progress and prospect on theory and technology for coal and gas outburst control and protection in China. J. China Coal Soc.
**2022**, 47, 297–322. [Google Scholar] - Psaltis, S.; Farrell, T.; Burrage, K.; Burrage, P.; McCabe, P.; Moroney, T.; Turner, I.; Mazumder, S.; Bednarz, T. Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field. Appl. Math. Model.
**2017**, 49, 338–353. [Google Scholar] [CrossRef] [Green Version] - Zhou, L.C. Research of Theory and Application of Gas Extraction in Super-long Mining Face of High Gassy Mine. Ph.D. Thesis, Inner Mongolia Unversity of Science& Technology, Hohhot, China, 2021. [Google Scholar]
- Xia, T.Q. Multi-Physics Coupling Mechanism of Co-Existence Hazards for Coal Spontaneous Combustion and Gas. Ph.D. Thesis, China University of Mining and Technology, Beijing, China, 2015. [Google Scholar]
- Xia, T.Q.; Li, Z.L.; Ren, H.Y.; He, J.F.; Lu, J.H. Research on mismatch characteristics between binary gas flow and negative pressure in gas drainage system. China Coal
**2021**, 47, 18–25. [Google Scholar] - Zhou, X.H.; Niu, Y.P.; Bai, G.; Si, R.J.; Wei, S.P.; Wang, S.Q. Study on influence factors of gas extraction concentration caused by gas leakage. J. Liaoning Tech. Univ. Nat. Sci.
**2019**, 38, 507–512. [Google Scholar] - Zhou, A.T.; Zhang, M.; Wang, K.; Tao, B. Research on gas migration law and gas drainage parameters optimization in goaf of fully mechanized caving face in Buertai Coal Mine. J. Min. Sci. Technol.
**2020**, 5, 291–301. [Google Scholar] - Yang, H.M.; Shen, T.; Wang, Z.F. Study on reasonable orifice negative pressure of gas drainage in No.3 coal seam of Fuyan coal mine. Coal Mine Saf.
**2013**, 44, 11–13. [Google Scholar] - Yin, G.Z.; Li, M.H.; Li, S.Z.; Li, W.P.; Yao, J.W.; Zhang, Q.G. 3D numerical simulation of gas drainage from boreholes based on solid-gas coupling model of coal containing gas. J. China Coal Soc.
**2013**, 38, 535–541. [Google Scholar] - Cheng, Y.P.; Dong, J.; Li, W.; Chen, M.Y.; Liu, K. Effect of negative pressure on coalbed methane extraction and application in the utilization of methane resource. J. China Coal Soc.
**2017**, 42, 1466–1474. [Google Scholar] - Zhang, T.J.; Pang, M.K.; Jiang, X.K.; Peng, W.Q.; Ji, X. Influence of negative pressure on gas percolation characteristics of coal body in perforated drilling hole. Rock Soil Mech.
**2019**, 40, 2517–2524. [Google Scholar] - Gao, J.L.; Shang, B.; Zhang, X.B. The influence of airway resistance on the initial velocity of gas emission from borehole. J. China Coal Soc.
**2011**, 36, 1869–1873. [Google Scholar] - Liu, J. Study on Dynamic Character and the Influence of Negative Pressure along the Axial Direction of Gas Drainage Bore. Ph.D. Thesis, Henan Polytechnic University, Henan, China, 2014. [Google Scholar]
- Zhou, F.B.; Liu, C.; Xia, T.Q. Intelligent gas extraction and control strategy in coal mine. J. China Coal Soc.
**2019**, 44, 2377–2387. [Google Scholar] - Wang, Z.F. Research on Gas Concentration Control Mechanism and System of Gas Pipeline Concentration Automatic Control and Warning in Gas Extraction. Ph.D. Thesis, Henan Polytechnic University, Henan, China, 2014. [Google Scholar]
- Li, J.W.; Wan, Y. Research on intelligent control system of unattended gas drainage pumping station based on WinCC. Autom. Instrum.
**2019**, 34, 49–52. [Google Scholar] - Zhao, H.R. Coal bed methane intelligent extraction method based on PLC fuzzy control. Saf. Coal Mines
**2016**, 47, 98–100. [Google Scholar] - Li, W.L.; Wang, Q.; Liu, X.; Zhang, C.M. Design of intelligent system for gas extraction in coal mine. Coal Mine Mach.
**2021**, 42, 14–17. [Google Scholar] - Ma, L.; Shi, X.L.; Li, S.G.; Lin, H.F.; Song, S.; Dai, X.G. An intelligent control algorithm for gas precise drainage problem based on model predictive control. Coal Sci. Technol.
**2022**, 1–11. [Google Scholar] - Wang, X.; Zhou, F.B.; Xia, T.Q.; Xu, M. A multi-objective optimization model to enhance the comprehensive performance of underground gas drainage system. J. Nat. Gas Sci. Eng.
**2016**, 36, 852–864. [Google Scholar] [CrossRef] [Green Version] - Ren, H.Y. Adaptive Control Model of Gas Drainage Parameters in Coal Mine. Master′s Thesis, China University of Mining & Technology, Xuzhou, China, 2021. [Google Scholar]
- Xia, T.Q.; Sun, D.S.; Li, Z.L.; Cui, H.J.; Ren, H.Y.; Lu, J.H.; Bao, X.H. An Intelligent Control System and Method for Extracting High Concentration Gas in Coal Mine. Invention Patent in China ZL202011103.9, 2021. [Google Scholar]
- Zhai, H.; Linghu, J.S. Practice and innovation mode of gas control in Yangquan mining area. Coal Sci. Technol.
**2018**, 46, 168–175. [Google Scholar] - Zhang, Q.K. Research on the Particle Swarm Optimization and Differential Evolution Algorithms. Ph.D. Thesis, Shandong University, Jinan, China, 2017. [Google Scholar]

**Figure 1.**Structure and control principle of intelligent gas drainage [19].

Parameter | Describe | Value |
---|---|---|

R | General gas constant, J/(mol·K) | 8.314 |

T | Temperature, K | 293.15 |

M_{CH4} | Molar mass of CH_{4}, kg/mol | 0.016 |

M_{Air} | Molar mass of air, kg/mol | 0.029 |

e | Pipe surface roughness, m | 1.7 × 10^{−4} |

μ_{CH4} | Dynamic viscosity of CH_{4}, Pa·s | 1.1 × 10^{−5} |

μ_{Air} | Dynamic viscosity of air, Pa·s | 1.85 × 10^{−5} |

ρ_{CH4} | Density of CH_{4}, kg/m^{3} | 0.717 |

ρ_{Air} | Density of air, kg/m^{3} | 1.29 |

Unregulated | First Regulation | Second Regulation | ||
---|---|---|---|---|

Time (d) | <37 | 37 | 56 | |

Valve-resistance coefficient K and negative pressure increment of micro pump ∆P (Pa) | Borehole field 1 | K_{1} = 0∆P _{1} = 0 | K_{1} = 3841∆P _{1} = 0 | K_{1} = 5907∆P _{1} = 0 |

Borehole field 2 | K_{2} = 0∆P _{2} = 0 | K_{2} = 46∆P _{2} = 0 | K_{2} = 0∆P _{2} = 1679 | |

Borehole field 3 | K_{3} = 0∆P _{3} = 0 | K_{3} = 0∆P _{3} = 3000 | K_{3} = 0∆P _{3} = 5000 | |

Concentration increase at outlet of pipe network (%) | 0 | 13 | 6 |

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**MDPI and ACS Style**

Xia, T.; Lu, J.; Li, Z.; Duan, H.; Ren, H.; Zhang, Z.; Zhang, Y.
Adaptive Control Strategy and Model of Gas-Drainage Parameters in Coal Seam. *Sustainability* **2022**, *14*, 9247.
https://doi.org/10.3390/su14159247

**AMA Style**

Xia T, Lu J, Li Z, Duan H, Ren H, Zhang Z, Zhang Y.
Adaptive Control Strategy and Model of Gas-Drainage Parameters in Coal Seam. *Sustainability*. 2022; 14(15):9247.
https://doi.org/10.3390/su14159247

**Chicago/Turabian Style**

Xia, Tongqiang, Jianhang Lu, Zilong Li, Hongfei Duan, Hongyun Ren, Zhuangzhuang Zhang, and Yantai Zhang.
2022. "Adaptive Control Strategy and Model of Gas-Drainage Parameters in Coal Seam" *Sustainability* 14, no. 15: 9247.
https://doi.org/10.3390/su14159247