基于三重耦合效应的煤体吸附CO2变形解耦分析方法

doi:10.3724/1000-6915.jrme.2025.0261

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (795 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要为精确测定煤体吸附CO2过程的变形量，通过非吸附性He升压试验拆解游离态气体作用下的煤体体积变形，结合CO2吸附过程的煤体膨胀变形，提出考虑吸附态气体吸附膨胀作用、游离态气体压缩作用和扩容作用三重耦合效应的煤体吸附CO2变形解耦计算方法。结果表明：（1）He升压过程中，型煤和原煤的表观体积变形（煤基质压缩体积变形）与气压的关系曲线可划分为孔隙压密和线弹性变形2个阶段，整体体积变形与气压的关系曲线可划分为快速减小和缓慢减小2个阶段；（2）通过体积变形差异系数VK衡量游离气体压力作用下煤体整体体积变形和表观体积变形差异，VK随He气压增大呈先增大后减小的变化规律，型煤和原煤整体体积变形是其表观体积变形的14.29～39.54倍，表明游离态气体压力作用导致的孔裂隙变形不容忽略；（3）所提出的煤体吸附CO2变形计算方法能精确测定吸附CO2过程中煤体的整体体积变形量，计算得到煤样吸附CO2过程的整体体积变形与吸附压力符合Langmuir函数关系，在试验压力范围内，煤样最大整体体积变形为2.39～3.14 cm3，较初始体积增大了3.54%～4.22%，是应变计测量得到的表观体积变形的1.31～2.06倍。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	唐朝1
	2
	张遵国1
	3
	陈毅1
	2
	张宏虎1
	2
	陈永强1
	2
	钱清侠1

关键词 ：采矿工程, 煤体变形, 体积变形, 孔裂隙扩容, 变形机制, 解耦分析

Abstract：To accurately determine the deformation of coal during the CO2 adsorption process, the pressurization experiments using non-adsorptive helium were employed to analyze the volumetric deformation caused by free gas effects. By integrating this with swelling deformation during CO2 adsorption, a decoupled computational method that accounts for the tripartite coupling effects involving swelling deformation due to adsorbed gas, as well as the compression and expansion deformation of the coal matrix caused by free gas was proposed. The results indicate that: (1) The relationship between apparent volumetric deformation (the compression deformation of the matrix) and gas pressure for both reconstituted and raw coals during the increase in helium pressure can be divided into two distinct stages: pore compaction and linear elastic deformation. Additionally, the overall volumetric deformation-pressure curve exhibits a rapid reduction followed by a gradual reduction phase. (2) The difference between the overall volumetric deformation and the apparent volumetric deformation in coals under the pressure of free gas is quantified by the coefficient of difference in volumetric deformation, VK. As helium pressure increases, VK initially increases and then decreases. The overall volumetric deformation is found to be 14.29 to 39.54 times the apparent volumetric deformation, indicating that the deformation in pores and fractures due to pressure from free gas is significant. (3) The proposed method for calculating coal deformation accurately determines the overall volumetric deformation during CO2 adsorption processes. The calculations reveal that the relationship between overall volumetric deformation and adsorption pressure follows the Langmuir function, with the maximum overall volumetric deformation ranging from 2.39 to 3.14 cm3 under the experimental pressure range, representing an increase of 3.54% to 4.22% compared to the initial volume. The maximum deformation is 1.31 to 2.06 times greater than the apparent volumetric deformation measured by the strain gauge.

Key words： mining engineering coal deformation volume deformation pore-fracture expansion deformation mechanism decoupling analysis

引用本文:

唐朝1，2，张遵国1，3，陈毅1，2，张宏虎1，2，陈永强1，2，钱清侠1. 基于三重耦合效应的煤体吸附CO2变形解耦分析方法[J]. 岩石力学与工程学报, 2025, 44(9): 2432-2443.
TANG Chao1, 2, ZHANG Zunguo1, 3, CHEN Yi1, 2, ZHANG Honghu1, 2, CHEN Yongqiang1, 2, QIAN Qingxia1. Decoupling analysis method for deformation of coal with CO2 adsorption based on triple coupling effect. , 2025, 44(9): 2432-2443.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2025.0261 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I9/2432

[13]	PAN Z J，CONNELL L D. Modelling of anisotropic coal swelling and its impact on permeability behaviour for primary and enhanced coalbed methane recovery[J]. International Journal of Coal Geology，2010，85(3/4)：257-267.
[1]	桑树勋，袁亮，刘世奇，等. 碳中和地质技术及其煤炭低碳化应用前瞻[J]. 煤炭学报，2022，47(4)：1 430-1 451.(SANG Shuxun，YUAN Liang，LIU Shiqi，et al. Geological technology for carbon neutrality and its application prospect for low carbon coal exploitation and utilization[J]. Journal of China Coal Society，2022，47(4)：1 430-1 451.(in Chinese))
[14]	ZHAO W，WANG K，LIU S M，et al. Asynchronous difference in dynamic characteristics of adsorption swelling and mechanical compression of coal：modeling and experiments[J]. International Journal of Rock Mechanics and Mining Sciences，2020，135：104498.
[2]	LIU S Q，LIU T，ZHENG S J，et al. Evaluation of carbon dioxide geological sequestration potential in coal mining area[J]. International Journal of Greenhouse Gas Control，2023，122：103814.
[15]	ANGGARA F，SASAKI K，RODRIGUES S，et al. The effect of megascopic texture on swelling of a low rank coal in supercritical carbon dioxide[J]. International Journal of Coal Geology，2014，125：45-56.
[3]	DU X D，CHENG Y G，LIU Z J，et al. CO2 and CH4 adsorption on different rank coals：A thermodynamics study of surface potential，Gibbs free energy change and entropy loss[J]. Fuel，2021，283：118886.
[16]	余伟健，潘豹，李可，等. 岩-煤-岩组合体力学特性及裂隙演化规律[J]. 煤炭学报，2022，47(3)：1 155-1 167.(YU Weijian，PAN Bao，LI Ke，et al. Mechanical properties and fracture evolution law of rock-coal-rock combination[J]. Journal of China Coal Society，2022，47(3)：1 155-1 167.(in Chinese))
[4]	张遵国，齐庆杰，曹树刚，等. 煤层吸附He，CH4和CO2过程中的变形特性[J]. 煤炭学报，2018，43(9)：2 484-2 490.(ZHANG Zunguo，QI Qingjie，CAO Shugang，et al. Characteristics of coal deformation during its adsorption of He，CH4 and CO2[J]. Journal of China Coal Society，2018，43(9)：2 484-2 490.(in Chinese))
[17]	DAY S，FRY R，SAKUROVS R. Swelling of Australian coals in supercritical CO2[J]. International Journal of Coal Geology，2007，74(1)：41-52.
[5]	DUAN S，GU M，DU X D，et al. Adsorption equilibrium of CO2 and CH4 and their mixture on Sichuan Basin Shale[J]. Energy and Fuels，2016，30(3)：2 248-2 256.
[18]	JIA J L，SANG S X，CAO L W，et al. Characteristics of CO2/ supercritical CO2 adsorption-induced swelling to anthracite：An experimental study[J]. Fuel，2018，216：639-647.
[6]	LIU S Q，WANG H，SANG S X，et al. Effects of pore structure changes on the CH4 adsorption capacity of coal during CO2-ECBM[J]. Fuel，2022，330：125529.
[19]	WU Y，WANG D K，WEI J P，et al. Damage constitutive model of gas-bearing coal using industrial CT scanning technology[J]. Journal of Natural Gas Science and Engineering，2022，101：104543.
[7]	WANG X L，GENG J B，ZHANG D M，et al. Influence of sub-supercritical CO2 on pore structure and fractal characteristics of anthracite：An experimental study[J]. Energy，2022，261：125115.
[20]	WANG G，JIANG C H，SHEN J N，et al. Deformation and water transport behaviors study of heterogenous coal using CT-based 3D simulation[J]. International Journal of Coal Geology，2019，211：103204.
[8]	王登科，庞晓非，魏建平，等. 气体性质和孔隙压力对煤体微裂隙扩展的影响[J]. 煤炭科学技术，2023，51(2)：183-192.(WANG Dengke，PANG Xiaofei，WEI Jianping，et al. Effect of gas properties and pore pressure on the microcrack propagation in coal[J]. Coal Science and Technology，2023，51(2)：183-192.(in Chinese))
[21]	HOU C L，JIANG B，LI M，et al. Micro-deformation and fracture evolution of in-situ coal affected by temperature，confining pressure，and differential stress[J]. Journal of Natural Gas Science and Engineering，2022，100：104455.
[9]	王磊，刘怀谦，谢广祥，等. 含瓦斯煤孔裂隙结构精细表征及强度劣化机制[J]. 岩土力学，2021，42(12)：3 203-3 216.(WANG Lei，LIU Huaiqian，XIE Guangxiang，et al. Fine characterization of the pore and fracture structure and strength degradation mechanism of gas bearing coal[J]. Rock and Soil Mechanics，2021，42(12)：3 203-3 216. (in Chinese))
[22]	LI J H，LI B B，CHEN Q Y，et al. Characterization of anisotropic coal permeability with the effect of sorption-induced deformation and stress[J]. Fuel，2022，309：122089.
[10]	程远平，王成浩. 构造煤变形能及在煤与瓦斯突出中的作用[J]. 煤炭学报，2024，49(2)：645-663.(CHENG Yuanping，WANG Chenghao. Deformation energy of tectonic coal and its role in coal and gas outbursts[J]. Journal of China Coal Society，2024，49(2)：645-663.(in Chinese))
[23]	FAN D，ETTEHADTAVAKKOL A. Semi-analytical modeling of shale gas flow through fractal induced fracture networks with microseismic data[J]. Fuel，2017，193：444-459.
[11]	ADELINA L，MOHAMMAD A A，HOSSEIN M，et al. On swelling stress-strain of coal and their interaction with external stress[J]. Fuel，2022，311：122534.
[24]	WEI M Y，LIU J S，LIU Y K，et al. Effect of adsorption-induced matrix swelling on coal permeability evolution of micro-fracture with the real geometry[J]. Petroleum Science，2021，18(4)：1 143-1 152.
[12]	PAN Z J，CONNELL L D，CAMILLERI M. Laboratory characterisation of coal reservoir permeability for primary and enhanced coalbed methane recovery[J]. International Journal of Coal Geology，2009，82(3)：252-261.
[25]	王相龙，潘结南，王凯，等. 微米CT扫描尺度下构造煤微裂隙结构特征及其对渗透性的控制[J]. 煤炭学报，2023，48(3)：1 325-1 334. (WANG Xianglong，PAN Jienan，WANG Kai，et al. Characteristics of micro-CT scale pore-fracture of tectonic ally deformed coal and their controlling effect on permeability[J]. Journal of China Coal Society，2023，48(3)：1 325-1 334.(in Chinese))
[13]	PAN Z J，CONNELL L D. Modelling of anisotropic coal swelling and its impact on permeability behaviour for primary and enhanced coalbed methane recovery[J]. International Journal of Coal Geology，2010，85(3/4)：257-267.
[26]	张遵国，陈毅，赵丹，等. 原煤与型煤CO2吸附/解吸及变形特征对比研究[J]. 中国矿业大学学报，2021，50(4)：793-803. (ZHANG Zunguo，CHEN Yi，ZHAO Dan，et al. Comparative study of adsorption/desorption and deformation characteristic of raw and briquette coal under CO2[J]. Journal of China University of Mining and Technology，2021，50(4)：793-803.(in Chinese))
[14]	ZHAO W，WANG K，LIU S M，et al. Asynchronous difference in dynamic characteristics of adsorption swelling and mechanical compression of coal：modeling and experiments[J]. International Journal of Rock Mechanics and Mining Sciences，2020，135：104498.
[27]	CZERW K，BARAN P，ZAREBSKA K. Application of the stretched exponential equation to sorption of mine gases and sorption induced swelling of bituminous coal[J]. International Journal of Coal Geology，2017，173：76-83.
[15]	ANGGARA F，SASAKI K，RODRIGUES S，et al. The effect of megascopic texture on swelling of a low rank coal in supercritical carbon dioxide[J]. International Journal of Coal Geology，2014，125：45-56.
[28]	林海飞，季鹏飞，孔祥国，等. 三轴应力下原煤吸附CH4/N2变形时空特性[J]. 中国矿业大学学报，2023，52(2)：314-328.(LIN Haifei，JI Pengfei，KONG Xiangguo，et al. Temporal and spatial characteristics of raw coal deformation during the adsorption of CH4/ N2 under triaxial stress[J]. Journal of China University of Mining and Technology，2023，52(2)：314-328.(in Chinese))
[16]	余伟健，潘豹，李可，等. 岩-煤-岩组合体力学特性及裂隙演化规律[J]. 煤炭学报，2022，47(3)：1 155-1 167.(YU Weijian，PAN Bao，LI Ke，et al. Mechanical properties and fracture evolution law of rock-coal-rock combination[J]. Journal of China Coal Society，2022，47(3)：1 155-1 167.(in Chinese))
[29]	XIAO T，LI S G，LONG H，et al. Experimental research on adsorption characteristics of N2，CH4 and CO2 in coal under different temperatures and gas pressures[J]. Energy Science and Engineering，2022，11(2)：637-653.
[17]	DAY S，FRY R，SAKUROVS R. Swelling of Australian coals in supercritical CO2[J]. International Journal of Coal Geology，2007，74(1)：41-52.
[30]	WebElements. The periodic table on the WWW[DB/OL]. https:// www.webelements.com/hydrogen/atom_sizes.html.[2025-05-25].
[18]	JIA J L，SANG S X，CAO L W，et al. Characteristics of CO2/ supercritical CO2 adsorption-induced swelling to anthracite：An experimental study[J]. Fuel，2018，216：639-647.
[31]	张遵国，唐朝，陈毅，等. 煤体变形对气体等温吸附量计算影响及模型优化[J]. 中国矿业大学学报，2023，52(3)：513-526. (ZHANG Zunguo，TANG Chao，CHEN Yi，et al. Influence of coal deformation on calculation of gas isothermal adsorption capacity and model optimization[J]. Journal of China University of Mining and Technology，2023，52(3)：513-526.(in Chinese))
[19]	WU Y，WANG D K，WEI J P，et al. Damage constitutive model of gas-bearing coal using industrial CT scanning technology[J]. Journal of Natural Gas Science and Engineering，2022，101：104543.
[32]	KANG J Q，DEREK E，FU X H，et al. Contribution of thermal expansion on gas adsorption to coal sorption-induced swelling[J]. Chemical Engineering Journal，2022，432：134427.
[20]	WANG G，JIANG C H，SHEN J N，et al. Deformation and water transport behaviors study of heterogenous coal using CT-based 3D simulation[J]. International Journal of Coal Geology，2019，211：103204.
[33]	何学秋，王恩元，林海燕. 孔隙气体对煤体变形及蚀损作用机制[J]. 中国矿业大学学报，1996，25(1)：6-11.(HE Xueqiu，WANG Enyuan，LIN Haiyan. Coal deformation and fracture mechanism under pore gas action[J]. Journal of China University of Mining and Technology，1996，25(1)：6-11.(in Chinese))
[21]	HOU C L，JIANG B，LI M，et al. Micro-deformation and fracture evolution of in-situ coal affected by temperature，confining pressure，and differential stress[J]. Journal of Natural Gas Science and Engineering，2022，100：104455.
[34]	LARSEN J W，FLOWERS R A，HALL P J，et al. Structural rearrangement of strained coals[J]. Energy and Fuels，1997，11(5)：998-1 002.
[22]	LI J H，LI B B，CHEN Q Y，et al. Characterization of anisotropic coal permeability with the effect of sorption-induced deformation and stress[J]. Fuel，2022，309：122089.
[35]	KARACAN C Ö. Swelling-induced volumetric strains internal to a stressed coal associated with CO2 sorption[J]. International Journal of Coal Geology，2007，72(3)：209-220.
[23]	FAN D，ETTEHADTAVAKKOL A. Semi-analytical modeling of shale gas flow through fractal induced fracture networks with microseismic data[J]. Fuel，2017，193：444-459.
[36]	HOL S，SPIERS C. Competition between adsorption induced swelling and elastic compression of coal at CO2 pressures up to 100 MPa[J]. Journal of the Mechanics and Physics of Solids，2012，60(11)：1 862-1 882.
[24]	WEI M Y，LIU J S，LIU Y K，et al. Effect of adsorption-induced matrix swelling on coal permeability evolution of micro-fracture with the real geometry[J]. Petroleum Science，2021，18(4)：1 143-1 152.
[37]	PAN Z J，CONNELL L D. A theoretical model for gas adsorption- induced coal swelling[J]. International Journal Coal Geology，2007，69(4)：243-252.
[25]	王相龙，潘结南，王凯，等. 微米CT扫描尺度下构造煤微裂隙结构特征及其对渗透性的控制[J]. 煤炭学报，2023，48(3)：1 325-1 334. (WANG Xianglong，PAN Jienan，WANG Kai，et al. Characteristics of micro-CT scale pore-fracture of tectonic ally deformed coal and their controlling effect on permeability[J]. Journal of China Coal Society，2023，48(3)：1 325-1 334.(in Chinese))
[38]	王春光，王长盛，陶志刚，等. 气体运移导致煤体结构变形演化特征研究——以注入氦气为例[J]. 岩土力学，2015，36(12)：3 439- 3 446.(WANG Chunguang，WANG Changsheng，TAO Zhigang，et al. Structure deformation of coal induced by gas migration—A case of injecting helium gas into intact coal[J]. Rock and Soil Mechanics，2015，36(12)：3 439-3 446.(in Chinese))
[26]	张遵国，陈毅，赵丹，等. 原煤与型煤CO2吸附/解吸及变形特征对比研究[J]. 中国矿业大学学报，2021，50(4)：793-803. (ZHANG Zunguo，CHEN Yi，ZHAO Dan，et al. Comparative study of adsorption/desorption and deformation characteristic of raw and briquette coal under CO2[J]. Journal of China University of Mining and Technology，2021，50(4)：793-803.(in Chinese))
[39]	DAY S，FRY R，SAKUROVS R. Swelling of coals by supercritical gases and its relationship to sorption[J]. Energy and Fuels，2010，24：2 777-2 783.
[27]	CZERW K，BARAN P，ZAREBSKA K. Application of the stretched exponential equation to sorption of mine gases and sorption induced swelling of bituminous coal[J]. International Journal of Coal Geology，2017，173：76-83.
[28]	林海飞，季鹏飞，孔祥国，等. 三轴应力下原煤吸附CH4/N2变形时空特性[J]. 中国矿业大学学报，2023，52(2)：314-328.(LIN Haifei，JI Pengfei，KONG Xiangguo，et al. Temporal and spatial characteristics of raw coal deformation during the adsorption of CH4/ N2 under triaxial stress[J]. Journal of China University of Mining and Technology，2023，52(2)：314-328.(in Chinese))
[29]	XIAO T，LI S G，LONG H，et al. Experimental research on adsorption characteristics of N2，CH4 and CO2 in coal under different temperatures and gas pressures[J]. Energy Science and Engineering，2022，11(2)：637-653.
[30]	WebElements. The periodic table on the WWW[DB/OL]. https:// www.webelements.com/hydrogen/atom_sizes.html.[2025-05-25].
[31]	张遵国，唐朝，陈毅，等. 煤体变形对气体等温吸附量计算影响及模型优化[J]. 中国矿业大学学报，2023，52(3)：513-526. (ZHANG Zunguo，TANG Chao，CHEN Yi，et al. Influence of coal deformation on calculation of gas isothermal adsorption capacity and model optimization[J]. Journal of China University of Mining and Technology，2023，52(3)：513-526.(in Chinese))
[32]	KANG J Q，DEREK E，FU X H，et al. Contribution of thermal expansion on gas adsorption to coal sorption-induced swelling[J]. Chemical Engineering Journal，2022，432：134427.
[33]	何学秋，王恩元，林海燕. 孔隙气体对煤体变形及蚀损作用机制[J]. 中国矿业大学学报，1996，25(1)：6-11.(HE Xueqiu，WANG Enyuan，LIN Haiyan. Coal deformation and fracture mechanism under pore gas action[J]. Journal of China University of Mining and Technology，1996，25(1)：6-11.(in Chinese))
[34]	LARSEN J W，FLOWERS R A，HALL P J，et al. Structural rearrangement of strained coals[J]. Energy and Fuels，1997，11(5)：998-1 002.
[35]	KARACAN C Ö. Swelling-induced volumetric strains internal to a stressed coal associated with CO2 sorption[J]. International Journal of Coal Geology，2007，72(3)：209-220.
[36]	HOL S，SPIERS C. Competition between adsorption induced swelling and elastic compression of coal at CO2 pressures up to 100 MPa[J]. Journal of the Mechanics and Physics of Solids，2012，60(11)：1 862-1 882.
[37]	PAN Z J，CONNELL L D. A theoretical model for gas adsorption- induced coal swelling[J]. International Journal Coal Geology，2007，69(4)：243-252.
[38]	王春光，王长盛，陶志刚，等. 气体运移导致煤体结构变形演化特征研究——以注入氦气为例[J]. 岩土力学，2015，36(12)：3 439- 3 446.(WANG Chunguang，WANG Changsheng，TAO Zhigang，et al. Structure deformation of coal induced by gas migration—A case of injecting helium gas into intact coal[J]. Rock and Soil Mechanics，2015，36(12)：3 439-3 446.(in Chinese))
[39]	DAY S，FRY R，SAKUROVS R. Swelling of coals by supercritical gases and its relationship to sorption[J]. Energy and Fuels，2010，24：2 777-2 783.