|
|
|
| HYDRO-MECHANICAL COUPLING MODEL OF SHALE GAS RESERVOIR AND ITS FINITE ELEMENT ANALYSIS |
| SHENG Mao1,2,LI Gensheng1,HUANG Zhongwei1,TIAN Shouceng1,SHAH S2 |
(1. State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum,Beijing 102249,China;
2. School of Petroleum and Geological Engineering,University of Oklahoma,Norman 73069,USA) |
|
|
|
|
Abstract A comprehensive gas-flow model for shale gas reservoir is significantly important for the dynamic analysis of gas production and reservoir simulations. This paper proposed a hydro-mechanical model for shale gas reservoir that was considered as dual permeability media of matrix pore and fracture. The Knudsen flow in porous matrix and Darcy flow in fracture network were assumed. The model involves multiple flow regimes,gas adsorption/desorption,and stress-sensitive effect. Finite element method was used to discretize the governing equations by fully implicit discretization schemes,and thus corresponding code was made. A numerical example was presented using the proposed model and field shale parameters. Results show that the pressure-declined rate of shale gas reservoir is less than that of conventionally fractured reservoirs. Fracture permeability is a primary factor of reservoir pressure depletion. It is necessary to make the flow conductivity of fractures match with the gas production from shale matrix. The initial pressure has a major effect on the fracture pressure depletion,which indicates that the less initial pressure is,the less fracture pressure depletion is. The presented model and code are helpful for understanding shale gas production and developing the shale-gas reservoir simulator.
|
|
Received: 12 December 2012
|
|
|
|
| [1] 张金川,汪宗余,聂海宽,等. 页岩气及其勘探研究意义[J]. 现代地质,2008,22(4):640–646.(ZHANG Jinchuan,WANG Zongyu,LIE Haikuan,et al. Shale gas and its significance for exploration[J]. Geoscience,2008,22(4):640–646.(in Chinese))
[2] CURTIS M E,SONDERGELD C H,AMBROSE R J,et al. Microstructural investigation of gas shales in two and three dimensions using nanometer-scale resolution imaging[J]. AAPG Bulletin,2012,96(4):665–677.
[3] 樊 菁,沈 青. 微尺度气体流动[J]. 力学进展,2002,32(3):321–336.(FAN Jing,SHEN Qing. Micro-scale gas flow[J]. Advances in Mechanics,2002,32(3):321–336.(in Chinese))
[4] 邹才能,董大忠,杨 桦,等. 中国页岩气形成条件及勘探实践[J]. 天然气工业,2012,31(12):26–39.(ZHOU Caineng,DONG Dazhong,YANG Hua,et al. Conditions of shale gas accumulation and exploration practices in China[J]. Natural Gas Industry,2012,31(12):26–39.(in Chinese))
[5] 翁定为,雷 群,胥 云,等. 缝网压裂技术及其现场应用[J]. 石油学报,2011,32(2):280–284.(WENG Dingwei,LEI Qun,XU Yun,et al. Network fracturing techniques and its application in the field[J]. Acta Petrolei Sinica,2011,32(2):280–284.(in Chinese))
[6] BESKOK A,KARNIADAKIS G E. Report:a model for flows in channels,pipes,and ducts at micro and nano scales[J]. Microscale Thermophysical Engineering,1999,3(1):43–77.
[7] CIVAN F. Effective correlation of apparent gas permeability in tight porous media[J]. Transport in Porous Media,2010,82(2):375–384.
[8] FATHI E,AKKUTLU I Y. Lattice Boltzmann method for simulation of shale gas transport in Kerogen[C]// Proceedings of the SPE Annual Technical Conference and Exhibition. [S.l.]:[s.n.],2011.
[9] ROSS D J K,MARC BUSTIN R. Impact of mass balance calculations on adsorption capacities in microporous shale gas reservoirs[J]. Fuel,2007,86(17/18):2 696–2 706.
[10] 李玉喜,乔德武,姜文利,等. 页岩气含气量和页岩气地质评价综述[J]. 地质通报,2011,30(2/3):308–317.(LI Yuxi,QIAO Dewu,JIANG Wenli,et al. Gas content of gas-bearing shale and its geological evaluation summary[J]. Geological Bulletin of China,2011,30(2/3):308–317.(in Chinese))
[11] 唐 颖,张金川,刘珠江,等. 解吸法测量页岩含气量及其方法的改进[J]. 天然气工业,2011,31(10):108–112.(TANG Ying,ZHANG Jinchuan,LIU Zhujiang,et al. Use and imrpovement of the desorption method in shale gas content tests[J]. Natural Gas Industry,2011,31(10):108–112.(in Chinese))
[12] AKKUTLU I Y,FATHI E. Gas Transport in Shales with Local Kerogen Heterogeneities[C]// Proceedings of the SPE Annual Technical Conference and Exhibition. [S.l.]:[s.n.],2011.
[13] HUDSON J,CIVAN F,MICHEL G,et al. Modeling multiple-porosity transport in gas-bearing shale formations[C]// Proceedings of the SPE Latin America and Caribbean Petroleum Engineering Conference. [S.l.]:[s.n.],2012.
[14] 段永刚,魏明强,李建秋,等. 页岩气藏渗流机制及压裂井产能评价[J]. 重庆大学学报:自然科学版,2011,34(4):62–66.(DUAN Yonggang,WEI Mingqiang,LI Jianqiu,et al. Shale gas seepage mechanism and fractured wells? production evaluation[J]. Journal of Chongqing University:Natural Science,2011,34(4):62–66.(in Chinese))
[15] BARENBLATT G,ZHELTOV I P,KOCHINA I. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks[J]. Journal of Applied Mathematics and mechanics,1960,24(5):1 286– 1 303.
[16] ROY S,RAJU R,CHUANG H F,et al. Modeling gas flow through microchannels and nanopores[J]. Journal of applied physics,2003,93(8):4 870–4 879.
[17] 周 理,李 明,周亚平. 超临界甲烷在高表面活性炭上的吸附测量及其理论分析[J]. 中国科学:B辑,2000,30(1):49–56.(ZHOU Li,LI Ming,ZHOU Yaping. Adsorption measurement and its theorical analysis of supercritical methane on activated carbon with high surface area[J]. Science in China:Series B,2000,30(1):49–56.(in Chinese))
[18] LANGMUIR I. The constitution and fundamental properties of solids and liquids. part I. solids[J]. Journal of the American Chemical Society,1916,38(11):2 221–2 295.
[19] LANGMUIR I. The constitution and fundamental properties of solids and liquids. II. liquids. 1[J]. Journal of the American Chemical Society,1917,39(9):1 848–1 906.
[20] CUI X,BUSTIN A,BUSTIN R M. Measurements of gas permeability and diffusivity of tight reservoir rocks:different approaches and their applications[J]. Geofluids,2009,9(3):208–223.
[21] LEWIS R W,SCHREFLER B A. The finite element method in the deformation and consolidation of porous media[M]. New York:John Wiley and Sons Inc.,1987:287–290. |
|
|
|