深部储层岩石渗流的滑脱效应研究——以煤和砂岩为例

doi:10.13722/j.cnki.jrme.2023.1252

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (1178 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要深部高应力作用下致密储层岩石因其孔径与气体分子平均自由程相当，会诱发气体的滑脱效应，进而对瓦斯(煤层气)长期稳产产生重要影响。基于此，开展深部高应力作用下煤和砂岩的氦气注入试验。研究结果表明：在全抽采周期，高应力煤体中氦气运移始终表现出显著的滑脱效应，即使在高达8 MPa的储层压力下也不可避免，砂岩渗流则基本上不受滑脱效应影响。相较于线性Klinkenberg方程和二次型Klinkenberg修正方程，双滑移Klinkenberg方程更适用于深部高应力煤体的表观渗透率修正，进而得到煤体固有渗透率与有效平均应力之间满足线性关系，这是由高应力状态下煤体内结构异质性减弱、均质性增强所致。均质性砂岩的渗流行为表现为线性力学响应特性，证明了煤体滑脱效应修正的合理性。由于深部煤体随呈线性弱衰减规律，导致应力型渗透率在应力加载作用下略有降低，最终表现为滑脱效应随着增加而减弱的反常现象。以双胡克定律为理论基础，建立综合考虑高应力煤体裂隙开度呈线性变化和滑脱型渗透率呈指数衰减规律的渗透率模型，并在不同边界条件下取得了良好的拟合效果。

	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
	赵文杰1
	赵洪宝1
	2
	3
	荆士杰1

关键词 ：采矿工程, 滑脱效应, 线性响应, 双滑移Klinkenberg方程, 渗透率模型

Abstract：The pore size of tight reservoir rock subjected to deep high stresses approximates the average free path of gas molecules，leading to occurrence of gas slippage. This phenomenon can exert a significant impact on the sustained and stable production of gas(or coalbed methane) over the long term. The helium injection experiments on coal and sandstone under deep high stresses were investigated. The results demonstrate that helium migration exhibits a significant slippage effect throughout the entire extraction cycle within a high-stress coal，even under reservoir pressures reaching up to 8 MPa. Under identical conditions，the seepage of sandstone typically remains unaffected by the slippage effect. When correcting the apparent permeability( ) of coal under deep high stresses，the double-slip Klinkenberg equation provides more accurate results compared to the linear Klinkenberg equation and the quadratic Klinkenberg correction equation. Furthermore，the linear relationship has been established between the inherent permeability( ) of coal and the effective average stress( )，which is caused by the weakened heterogeneity and the enhanced homogeneity within the internal structure of coal subjected to high stresses. The seepage behavior of homogeneous sandstone exhibits a linear mechanical response，validating the rationality of correcting the coal slippage effect. As the inherent permeability of deep coal decreases linearly with ，the stress-induced permeability exhibits a slight decline under stress loading，ultimately resulting in a decrease in the slippage effect as increases. Based on the principles of double Hooke?s law，a permeability model was established. The model comprehensively considered the linear law of coal fracture opening under high stress and the exponential attenuation law of slippage permeability，resulting in excellent fitting outcomes across diverse boundary conditions.

Key words： mining engineering slippage effect linear response double-slip Klinkenberg equation permeability model

引用本文:

赵文杰1，赵洪宝1，2，3，荆士杰1. 深部储层岩石渗流的滑脱效应研究——以煤和砂岩为例[J]. 岩石力学与工程学报, 2024, 43(9): 2189-2200.
ZHAO Wenjie1，ZHAO Hongbao1，2，3，JING Shijie1. Research on the slippage effect of deep reservoir rock seepage：A case study of coal and sandstone. , 2024, 43(9): 2189-2200.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.1252 或 https://rockmech.whrsm.ac.cn/CN/Y2024/V43/I9/2189

[1]	XIAO Z，WANG C，WANG G，et al. An improved apparent permeability model considering full pore pressure range，variable intrinsic permeability and slippage coefficient[J]. International Journal of Mining Science and Technology，2022，32：1 233-1 244.
[2]	闫霞，徐凤银，聂志宏，等. 深部微构造特征及其对煤层气高产“甜点区”的控制———以鄂尔多斯盆地东缘大吉地区为例[J]. 煤炭学报，2021，46(8)：2 426-2 439.(YAN Xia，XU Fengyin，NIE Zhihong，et al. Microstructure characteristics of Daji area in east Ordos Basin and its control over the high yield dessert of CBM[J]. Journal of China Coal Society，2021，46(8)：2 426-2 439.(in Chinese))
[3]	东振，申瑞臣，薛华庆，等. 考虑滑脱效应的低阶煤动态渗透率预测新模型[J]. 岩土力学，2019，40(11)：4 270-4 278.(DONG Zhen，SHEN Ruichen，XUE Huaqing，et al. A new model for predicting low-rank coal dynamic permeability considering slippage effect[J]. Rock and Soil Mechanics，2019，40(11)：4 270-4 278.(in Chinese))
[4]	YANG K，LI B，LI J，et al. Impact of adsorption swelling and slippage effects on changes in coal?s permeability at different temperatures[J]. Energy and Fuels，2023，37：7 130-7 150.
[5]	张保勇，赵国建，高霞，等. 瓦斯压力对含水合物煤体渗透率及滑脱效应影响研究[J]. 岩石力学与工程学报，42(11)：2 655-2 667. (ZHANG Baoyong，ZHAO Guojian，GAO Xia，et al. Experimental study on influence of gas pressure on permeability and slippage effect of gas hydrate bearing coal[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(11)：2 655-2 667.(in Chinese))
[6]	LIU C，YU B，ZHAO H，et al. Effective stress effect and slippage effect of gas migration in deep coal reservoirs[J]. International Journal of Rock Mechanics and Mining Sciences，2022，155：105142.
[7]	王军，李文璞，刘超，等. 有效应力和滑脱作用对深部页岩气渗流的影响[J/OL]. 煤炭学报，https://doi.org/10.13225/j.cnki.jccs.2023.0317. (WANG Jun，LI Wenpu，LIU Chao，et al. Effect of effective stress and slippage on deep shale gas seepage[J/OL]. Journal of China Coal Society，https://doi.org/10.13225/j.cnki.jccs.2023.0317.(in Chinese))
[8]	李伟，杨康，邓东，等. 考虑孔弹性效应的煤岩微纳米孔隙瓦斯表观渗透率模型及其在瓦斯抽采中的应用[J/OL]. 岩石力学与工程学报，https://doi.org/10.13722/j.cnki.jrme.2023.0527.(LI Wei，YANG Kang，DENG Dong，et al. A gas apparent permeability model in coal micro/nano-pores considering the poroelastic effect and its application in gas extraction[J]. Chinese Journal of Rock Mechanics and Engineering，https://doi.org/10.13722/j.cnki.jrme.2023.0527.(in Chinese))
[9]	段淑蕾，李波波，李建华，等. 含水煤岩渗透率演化规律及动态滑脱效应的作用机制[J]. 岩石力学与工程学报，2022，41(4)：798-808.(DUAN Shulei，LI Bobo，LI Jianhua，et al. Permeability evolution of water-bearing coal considering dynamic slippage effect[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(4)：798-808.(in Chinese))
[10]	RUSHING J，NEWSHAM K，FRAASSEN K. Measurement of the two-phase gas slippage phenomenon and its effect on gas relative permeability in tight gas sands[C]// SPE Annual Technical Conference and Exhibition. Denver：Society of Petroleum Engineers，2003：842-897.
[11]	HEID J，MCMAHON J，NIELSEN R，et al. Study of the permeability of rocks to homogenous fluids[M]. New York：API Drilling and Production Practice Press，1950：230-246.
[12]	MOGHADAM A，CHALATURNYK R. Expansion of the Klinkenberg?s slippage equation to low permeability porous media[J]. International Journal of Coal Geology，2014，123：2-9.
[13]	TANG G，TAO W，HE Y. Gas slippage effect on microscale porous flow using the lattice Boltzmann method[J]. Physical Review E，2005，72(5)：056301.
[14]	FATHI E，TINNI A，AKKUTLU I. Correction to Klinkenberg slip theory for gas flow in nano-capillaries[J]. International Journal of Coal Geology，2012，103：51-59.
[15]	JAVADPOUR F. Nanopores and apparent permeability of gas flow in mudrocks(shales and siltstone)[J]. Journal of Canadian Petroleum Technology，2009，48(8)：16-21.
[16]	尹光志，李铭辉，许江，等. 多功能真三轴流固耦合试验系统的研制与应用[J]. 岩石力学与工程学报，2015，34(12)：2 436-2 445. (YIN Guangzhi，LI Minghui，XU Jiang，et al. A new multi-functional true triaxial fluid-solid coupling experiment system and its applications[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(12)：2 436-2 445.(in Chinese))
[17]	康红普，伊丙鼎，高富强，等. 中国煤矿井下地应力数据库及地应力分布规律[J]. 煤炭学报，2019，44(1)：23-33.(KANG Hongpu，YI Bingding，GAO Fuqiang，et al. Database and characteristics of underground in-situ stress distribution in Chinese coal mines[J]. Journal of China Coal Society，2019，44(1)：23-33.(in Chinese))
[18]	YU B，LIU C，ZHANG D，et al. Experimental study on the anisotropy of the effective stress coefficient of sandstone under true triaxial stress[J]. Journal of Natural Gas Science and Engineering，2020，84：103651.
[19]	LETHAM E，BUSTIN R. The impact of gas slippage on permeability effective stress laws：Implications for predicting permeability of fine-grained lithologies[J]. International Journal of Coal Geology，2016，167：93-102.
[20]	MENG Y，LI Z，LAI F. Influence of effective stress on gas slippage effect of different rank coals[J]. Fuel，2021，285：119207.
[21]	LIU Y，LI M，YIN G，et al. Permeability evolution of anthracite coal considering true triaxial stress conditions and structural anisotropy[J]. Journal of Natural Gas Science and Engineering，2018，52：492-506.
[22]	程先振，陈连军，栾恒杰，等. 基质-裂隙相互作用对煤渗透率的影响：考虑煤的软化[J]. 岩土工程学报，2022，44(10)：1 890-1 898. (CHENG Xianzhen，CHEN Lianjun，LUAN Hengjie，et al. Influences of softening behaviour of coal on evolution of its permeability by considering matrix-fracture interactions[J]. Chinese Journal of Geotechnical Engineering，2022，44(10)：1 890-1 898.(in Chinese))
[23]	HELLER R，VERMYLEN J，ZOBACK M. Experimental investigation of matrix permeability of gas shales[J]. AAPG Bulletin，2014，98(5)：975-995.
[24]	LIU H，RUTQVIST J，BERRYMAN J. On the relationship between stress and elastic strain for porous and fractured rock[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(2)：289-296.