Experimental study on influence of ultrasonic stimulation on kinetic characteristics of gas diffusion in coal

doi:10.16265/j.cnki.issn1003-3033.2026.03.0456

Abstract

Abstract:

To further investigate the effect of ultrasonic stimulation on gas diffusion in coal, this study utilized an ultrasonic stimulation test system for gas-bearing coal to analyze variations in gas diffusion under different ultrasonic conditions. Based on the Langmuir-like model, Quasi-first-order kinetic model, and gas dynamic diffusion model, the influence of ultrasonic stimulation on the kinetic characteristics of gas diffusion was systematically examined. Results demonstrate that increased ultrasonic power, elevated frequency, or prolonged stimulation time significantly enhance gas diffusion. Specifically, when ultrasonic power increases from 250 W to 1 000 W, gas diffusion rises from 0.689 mL/g to 0.981 mL/g, with the diffusion rate increasing from 5.92% to 10.69%. Similarly, gas diffusion escalates from 0.739 mL/g at 20 kHz to 1.074 mL/g at 40 kHz, elevating the diffusion rate from 6.36% to 9.65%. Extending stimulation time from 30 min to 120 min boosts gas diffusion from 0.833 mL/g to 1.100 mL/g, increasing the diffusion rate from 8.50% to 12.65%. The gas dynamic diffusion model exhibits the strongest fit for describing gas diffusion behavior under ultrasonic stimulation, followed by the Langmuir-like and Quasi-first-order kinetic models. Both the initial gas diffusion coefficient D₀ and its attenuation coefficient β demonstrate identical trends under ultrasonic stimulation, showing exponential positive correlations with ultrasonic power, frequency, and stimulation time. Ultrasonic stimulation enhances the kinetic characteristics of gas diffusion in coal by improving pore connectivity through mechanical vibration and pore-cleaning effects.

Key words: ultrasonic stimulation, gas diffusion, kinetic model, dynamic gas diffusion model, diffusion coefficient

CLC Number:

X936

ZHANG Xiaoying, LIN Haifei, YAN Min, WANG Ruizhe, QIU Yue, ZHOU Xing. Experimental study on influence of ultrasonic stimulation on kinetic characteristics of gas diffusion in coal[J]. China Safety Science Journal, 2026, 36(3): 153-161.

Figures/Tables 8

Table 1

Fig.1

Table 2

Fig.2

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组号	质量/g	直径/mm	高度/mm	波速/(km·s^-1)
0	111.5	36.0	86.1	1.706
1	105.9	36.0	86.0	1.693
2	101.9	35.8	85.9	1.589
3	108.3	36.0	86.0	1.654
4	108.2	36.0	86.0	1.667
5	107.5	36.0	86.0	1.617
6	107.3	36.0	86.0	1.604
7	104.8	36.0	86.0	1.667
8	111.7	36.1	86.2	1.706
9	109.7	36.0	86.0	1.680
10	108.2	36.0	86.0	1.629

组号	超声波功率G/W	超声波频率F/kHz	激励时间 T/min
0号	0	0	0
1号	250	20	60
2号	500
3号	750
4号	1000
5号	500	28
6号		35
7号		40
8号	1000	20	30
9号			90
10号			120

激励条件	解吸率		放散率
激励条件	拟合关系式	相关系数	拟合关系式	相关系数
G/W	η=-22.014exp(-0.001G)	0.990	γ=1.197exp(0.002G)	0.941
F/kHz	η=17.789exp(-0.027F)	0.993	γ=-27.543exp(-0.099F)	0.999
T/min	η=141.798exp(0.001T)	0.992	γ=-8.510exp(-0.016T)	0.975

激励条件			类朗缪尔模型						准一级动力学模型						瓦斯动扩散模型
激励条件			a/ (mL·g^-1)		b/ min^-1		R²		q/ (mL·g^-1)		k/ min^-1		R²		D₀/ (m²·min^-1)	β/ min^-1	R²
未激励	0		0.627		0.039		0.956		0.514		0.035		0.924		1.097	0.019	0.973
G/W	250		0.761		0.077		0.979		0.667		0.057		0.931		1.645	0.031	0.980
	500		0.773		0.134		0.987		0.701		0.087		0.923		1.697	0.032	0.973
	750		0.839		0.124		0.972		0.765		0.081		0.892		1.741	0.034	0.968
	1000		1.026		0.096		0.945		0.909		0.066		0.853		1.821	0.037	0.980
F/kHz	20		0.773		0.134		0.987		0.701		0.087		0.923		1.697	0.032	0.973
	28		0.954		0.087		0.973		0.839		0.062		0.905		1.849	0.034	0.975
	35		1.038		0.090		0.978		0.915		0.064		0.910		1.936	0.036	0.977
	40		1.123		0.092		0.977		1.000		0.065		0.911		2.015	0.037	0.975
T/min	30	0.862		0.094		0.988		0.761		0.067		0.942		1.456		0.031	0.976
	60	1.026		0.096		0.945		0.909		0.066		0.853		1.821		0.037	0.980
	90	1.010		0.208		0.900		0.941		0.118		0.746		2.070		0.047	0.938
	120	1.131		0.308		0.980		1.073		0.179		0.931		2.924		0.056	0.918