DING Yunna，LI Bobo，CHENG Qiaoyun，et al. Evolution mechanism of shale microfracture apparent permeability considering dynamic slippage[J]. Coal Science and Technology，2023，51（11）：129−138
. DOI: 10.12438/cst.2023-0090| Citation: |
DING Yunna，LI Bobo，CHENG Qiaoyun，et al. Evolution mechanism of shale microfracture apparent permeability considering dynamic slippage[J]. Coal Science and Technology，2023，51（11）：129−138 . DOI: 10.12438/cst.2023-0090
|
In order to study the evolution mechanism of microfracture apparent permeability under the effect of effective stress, gas adsorption and slip effect during shale-gas extraction, the fractal theory was used to characterize the total gas flow in microfracture, and an apparent permeability model of the combined effects of microfracture deformation and slip effect based on the Hagen-Poiseuille second-order slip equation was established. Meanwhile, the influence of effective stress and gas adsorption on the slip coefficient was quantified by combining with the functional relationship between the slip coefficient and intrinsic permeability, the dynamic evolution of the slip coefficient during shale-gas seepage was explored, and the reliability of the model was verified. In addition, the effects of microfracture compressibility coefficient, fractal dimension and internal expansion coefficient on slip coefficient were explored in conjunction with sensitivity analysis. The results shown that: ① Under the conditions of constant external and effective stress, the apparent permeability tended to decrease with the gradual increase of pore pressure, which was influenced by the coupling of gas adsorption and slip effect; ② When the external stress was constant, the average free range of gas molecules decreased with increasing pore pressure, the slip effect was weakened, the first-order and second-order slip coefficientsC1 andC2 decreased, and the overall slip coefficient B increased. When the effective stress was constant, the shale-gas seepage channel was subject to gas adsorption and gradually reduced, andC1,C2 andBgradually increased; ③ Based on the model sensitivity analysis, the reciprocal feedback mechanism between microfracture compressibility coefficient, fractal dimension, internal expansion coefficient and slip coefficient was explored, in which the microfracture compressibility coefficient and fractal dimension led to an increase in intrinsic permeability, and a decrease inC1,C2 andBdecrease. The increase of internal expansion coefficient led to an decrease in the intrinsic permeability, and an increase inC1,C2 andB. The findings of this study will provide some theoretical support for shale-gas extraction.
| [1] |
朱维耀,陈 震,宋智勇,等. 中国页岩气开发理论与技术研究进展[J]. 工程科学学报,2021,43(10):1397−1412.
ZHU Weiyao,CHEN Zhen,SONG Zhiyong,et al. Research progress of shale gas development theory and technology in China[J]. Chinese Journal of Engineering,2021,43(10):1397−1412.
|
| [2] |
YAN C L,REN X,CHENG Y F,et al. Geomechanical issues in the exploitation of natural gas hydrate[J]. Gondwana Research,2020,81:403−422. doi: 10.1016/j.gr.2019.11.014
|
| [3] |
TIAN Z H,WEI W,ZHOU S W,et al. Impacts of gas properties and transport mechanisms on the permeability of shale at pore and core scale[J]. Energy,2022,244:122707. doi: 10.1016/j.energy.2021.122707
|
| [4] |
张宏学,刘卫群. 页岩气开采的相关实验、模型和环境效应[J]. 岩土力学,2014,35(S2):85−100. doi: 10.16285/j.rsm.2014.s2.030
ZHANG Hongxue,LIU Weiqun. Relevant experiments, models and environmental effects of shale gas exploitation[J]. Rock and Soil Mechanics,2014,35(S2):85−100. doi: 10.16285/j.rsm.2014.s2.030
|
| [5] |
LI X,FENG Z J,HAN G,et al. Permeability evolution of propped artificial fractures in Green River shale[J]. Rock Mechanics and Rock Engineering,2017,50(6):1473−1485. doi: 10.1007/s00603-017-1186-2
|
| [6] |
BHANDARI A R,FLEMINGS P B,POLITO P J,et al. Anisotropy and stress dependence of permeability in the Barnett shale[J]. Transport in Porous Media,2015,108(2):393−411. doi: 10.1007/s11242-015-0482-0
|
| [7] |
BUSTIN A M M, BUSTIN R M, CUI X. Importance of fabric on the production of gas shales[C]//SPE unconventional reservoirs conference. OnePetro, 2008.
|
| [8] |
FAN M, HAN Y, MCCLURE J, et al. Hydraulic fracture conductivity as a function of proppant concentration under various effective stresses: from partial monolayer to multilayer proppants[C]//SPE/AAPG/SEG Unconventional Resources Technology Conference. URTEC, 2017: URTEC-2693347-MS.
|
| [9] |
LYU Q F,LIU X L,WANG E Z,et al. Analytical solution to predicting gaseous mass flow rates of microchannels in a wide range of Knudsen numbers[J]. Physical Review E,2013,88(1):013007. doi: 10.1103/PhysRevE.88.013007
|
| [10] |
KLINKENBERG L J. The permeability of porous media to liquids and gases[J]. Drilling and Production Practice,1941,2:200−213.
|
| [11] |
HSIA Y T,DOMOTO G A. An experimental investigation of molecular rarefaction effffects in gas lubricated bearings at ultra-low clearances[J]. Journal of Tribology,1983,105(1):120−129.
|
| [12] |
HATAMI M,BAYLESS D,SARVESTANI A. Poroelastic effects on gas transport mechanisms and influence on apparent permeability in shale[J]. International Journal of Rock Mechanics and Mining Sciences,2022,153:105102. doi: 10.1016/j.ijrmms.2022.105102
|
| [13] |
LYU Q F,CHEN Z Q,WANG M. An improved elastic-tubes model for the correlation of permeability and stress with correction for the Klinkenberg effect[J]. Journal of Natural Gas Science and Engineering,2017,48:24−35. doi: 10.1016/j.jngse.2017.06.006
|
| [14] |
李波波,王 斌,杨 康,等. 应力与温度综合作用的煤岩渗透机理[J]. 中国矿业大学学报,2020,49(5):844−855. doi: 10.13247/j.cnki.jcumt.001183
LI Bobo,WANG Bin,YANG Kang,et al. Coal-rock permeability mechanism of comprehensive action of stress and temperature[J]. Journal of China University of Mining & Technology,2020,49(5):844−855. doi: 10.13247/j.cnki.jcumt.001183
|
| [15] |
LI Y D,DONG P C,ZHOU D W. A dynamic apparent permeability model for shale microfractures: coupling poromechanics, fluid dynamics, and sorption-induced strain[J]. Journal of Natural Gas Science and Engineering,2020,74:103104. doi: 10.1016/j.jngse.2019.103104
|
| [16] |
SHI R,LIU J S,WANG X M,et al. A critical analysis of shale laboratory permeability evolution data[J]. Energy,2021,236:121405. doi: 10.1016/j.energy.2021.121405
|
| [17] |
GAO Q,HAN S C,CHENG Y F,et al. Apparent permeability model for gas transport through micropores and microfractures in shale reservoirs[J]. Fuel,2021,285:119086. doi: 10.1016/j.fuel.2020.119086
|
| [18] |
ZHOU Y B,LI Z H,YANG Y L,et al. Evolution of coal permeability with cleat deformation and variable Klinkenberg effect[J]. Transport in Porous Media,2016,115(1):153−167. doi: 10.1007/s11242-016-0759-y
|
| [19] |
REISS L H. The reservoir engineering aspects of fractured formations[M]. Paris: Editions Technip, 1980.
|
| [20] |
LIU T,LIN B Q,YANG W. Impact of matrix–fracture interactions on coal permeability: model development and analysis[J]. Fuel,2017,207:522−532. doi: 10.1016/j.fuel.2017.06.125
|
| [21] |
CAO H T,YI X Y,LU Y,et al. A fractal analysis of fracture conductivity considering the effects of closure stress[J]. Journal of Natural Gas Science and Engineering,2016,32:549−555. doi: 10.1016/j.jngse.2016.04.022
|
| [22] |
WU X H,LI B B,REN C H,et al. An original coupled damage–permeability model based on the elastoplastic mechanics in coal[J]. Rock Mechanics and Rock Engineering,2022,55(4):2353−2370. doi: 10.1007/s00603-022-02771-5
|
| [23] |
LIU J S,CHEN Z W,ELSWORTH D,et al. Evaluation of stress-controlled coal swelling processes[J]. International Journal of Coal Geology,2010,83(4):446−455. doi: 10.1016/j.coal.2010.06.005
|
| [24] |
LIU J S,CHEN Z W,ELSWORTH D,et al. Interactions of multiple processes during CBM extraction: a critical review[J]. International Journal of Coal Geology,2011,87(3/4):175−189.
|
| [25] |
宋浩晟,李波波,陈 帅,等. 页岩储层动态表观渗透率演化机制[J]. 中国矿业大学学报,2022,51(5):873−885. doi: 10.3969/j.issn.1000-1964.2022.5.zgkydxxb202205005
SONG Haosheng,LI Bobo,CHEN Shuai,et al. Evolution mechanism of dynamic apparent permeability of shale reservoir[J]. Journal of China University of Mining & Technology,2022,51(5):873−885. doi: 10.3969/j.issn.1000-1964.2022.5.zgkydxxb202205005
|
| [26] |
LI Y,KALANTARI-DAHAGHI A,ZOLFAGHARI A,et al. Fractal-based real gas flow model in shales: An interplay of nano-pore and nano-fracture networks[J]. International Journal of Heat and Mass Transfer,2018,127:1188−1202.
|
| [27] |
CHEN Y F,JIANG C B,LEUNG J Y,et al. Second-order correction of Klinkenberg equation and its experimental verification on gas shale with respect to anisotropic stress[J]. Journal of Natural Gas Science and Engineering,2021,89:103880. doi: 10.1016/j.jngse.2021.103880
|
| [28] |
GHANIZADEH A,AMANN-HILDENBRAND A,GASPARIK M,et al. Experimental study of fluid transport processes in the matrix system of the European organic-rich shales: II. Posidonia Shale (Lower Toarcian, northern Germany)[J]. International Journal of Coal Geology,2014,123:20−33. doi: 10.1016/j.coal.2013.06.009
|
| [29] |
ZENG J,LIU J S,LI W,et al. Evolution of shale permeability under the influence of gas diffusion from the fracture wall into the matrix[J]. Energy & Fuels,2020,34(4):4393−4406.
|
| [30] |
GAO Q,CHENG Y,HAN S,et al. Effect of shale matrix heterogeneity on gas transport during production: a microscopic investigation[J]. Journal of Petroleum Science and Engineering,2021,201:108526. doi: 10.1016/j.petrol.2021.108526
|
| [31] |
WU K L,CHEN Z X,LI X F,et al. Flow behavior of gas confined in nanoporous shale at high pressure: real gas effect[J]. Fuel,2017,205:173−183. doi: 10.1016/j.fuel.2017.05.055
|
| [32] |
WU K L, LI X F, WANG C C, et al. A model for gas transport in micro fractures of shale and tight gas reservoirs[C]//SPE/CSUR Unconventional Resources Conference. OnePetro, 2015.
|
| [33] |
LI Z H,RIPEPI N,CHEN C. Using pressure pulse decay experiments and a novel multi-physics shale transport model to study the role of Klinkenberg effect and effective stress on the apparent permeability of shales[J]. Journal of Petroleum Science and Engineering,2020,189:107010. doi: 10.1016/j.petrol.2020.107010
|
| [34] |
王淑芳,董大忠,王玉满,等. 中美海相页岩气地质特征对比研究[J]. 天然气地球科学,2015,26(9):1666−1678.
WANG Shufang,DONG Dazhong,WANG Yuman,et al. Comparative study on geological characteristics of marine shale gas between China and the United States[J]. Natural Gas Geoscience,2015,26(9):1666−1678.
|
Supported by: Beijing Renhe Information Technology Co., Ltd. 
DownLoad: