页岩中页岩气渗流系数计算模型

姚同玉; 黄延章; 李继山

doi:10.3879/j.issn.1000-0887.2014.08.012

页岩中页岩气渗流系数计算模型

doi: 10.3879/j.issn.1000-0887.2014.08.012

¹中国石油大学石油工程学院,山东青岛 266580;²中国科学院渗流流体力学研究所,河北廊坊 065007;³胜利油田有限责任公司地质科学研究院,山东东营 257015

基金项目: 国家“十二五”科技重大专项课题“致密砂岩气有效开发与评价技术”(2011ZX05013-002)

详细信息

作者简介:
姚同玉（1976—），女，副教授，博士(通讯作者. E-mail: yaotongyu@126.com).

中图分类号: O357.3
计量
- 文章访问数: 1011
- HTML全文浏览量: 72
- PDF下载量: 1167
- 被引次数: 0
出版历程
- 收稿日期: 2013-12-11
- 修回日期: 2014-06-16
- 刊出日期: 2014-08-15

Calculation Model for the Permeability Coefficient of Shale Gas in Shale Matrix

¹School of Petroleum Engineering, China University of Petroleum, Qingdao, Shandong 266580, P.R.China;²Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, Langfang, Hebei 065007, P.R.China;³Geological and Scientific Research Institute of Shengli Oilfield Company Ltd., Dongying, Shandong 257015, P.R.China

摘要

摘要: 依据页岩气在页岩孔隙中的渗流行为，建立了页岩气释放、扩散耦合模型，利用Laplace变换方法，将耦合模型转化为 Laplace空间上常微分方程初边值问题，并找到了压力解析解，求得了渗透系数.实例计算验证了渗流模型及解的可靠性，丰富了页岩气不定常渗流理论.
- 页岩气 /
- Laplace变换 /
- 解析解 /
- 渗透系数
Abstract: According to the seepage behavior of shale gas in shale matrix, a coupling model for both the shale gas release and diffusion was established. With the Laplace transform method, the coupling model was converted to initial and boundary value problems of ordinary differential equations in the Laplace space. Then the analytical solution of pressure was found, and the permeability coefficient was obtained. The calculation of some specific examples prove reliability of the seepage model and correctness of the solution. The results indicate that the shale gas release process is mainly composed of two actions of adsorption and diffusion, in which the adsorption action has substantial influences on both the effective porosity and the permeability coefficient of the shales. This research enriches the unsteady seepage theory about shale gas.
- shale gas /
- Laplace transform /
- analytical solution /
- permeability coefficient

HTML全文

参考文献(17)

[1]	Loucks R G, Reed R M, Ruppel S C, Jarvie D M. Morphology, genesis, and distribution of nonometer-scale pores in siliceous mudstones of the Mississippian Barnett shale[J]. Journal of Sedimentary Research,2009,79(12): 848-861.
[2]	Curtis M E, Ambrose R J, Sonsergeld C H, Sondergeld C H. Structural characterization of gas shales on the micro- and nano-scales[C]//Proceeding of Canadian Unconventional Resources & International Petroleum Conference.Calgary, Alberta, Canada: Society of Petroleum Engineers, 2010: SPE-137693-MS.
[3]	Sondergeld C H, Ambrose R J, Rai C S, Moncrieff J. Micro-structural studies of gas shales[C]// Proceeding of SPE Unconventional Gas Conference.Pittsburgh, Pennsylvania, USA: Society of Petroleum Engineers, 2010: SPE-131771-MS.
[4]	Darabi H, Ettehad A, Javadpour F, Sepehrnoori K. Gas flow in ultra-tight shale strata[J]. Journal of Fluid Mechanics,2012,710: 641-658.
[5]	Civan F. A review of approaches for describing gas transfer through extremely tight porous media[C]// Proceedings of the Third International Conference on Porous Media and Its Applications in Science, Engineering, and Industry.Montecatini, Italy, 2010: 53-58.
[6]	段永刚, 魏明强, 李建秋, 唐艳. 页岩气藏渗流机理及压裂井产能评价[J]. 重庆大学学报, 2011,34(4): 62-66.(DUAN Yong-gang, WEI Ming-qiang, LI Jian-qiu, TANG Yan. Shale gas seepage mechanism and fractured wells production evaluation[J]. Journal of Chongqing University,2011,34(4): 62-66.(in Chinese))
[7]	关富佳, 吴恩江, 邱争科, 常铁龙. 页岩气渗流机理对气藏开采的影响[J]. 大庆石油地质与开发, 2011,30(2): 80-83.(GUAN Fu-jia, WU En-jiang, QIU Zheng-ke, CHANG Tie-long. Effect of shale gas flow mechanism on development of gas reservoir[J]. Petroleum Geology & Oilfield Development in Daqing,2011,30(2): 80-83.(in Chinese))
[8]	姚同玉, 黄延章, 李继山. 页岩气在超低渗介质中的渗流行为[J]. 力学学报, 2012,44(6): 990-995.(YAO Tong-yu, HUANG Yan-zhang，LI Ji-shan. Flow regim for shale gas in extra low permeability porous media[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(6): 990-995.(in Chinese)）
[9]	Azom P N, Javadpour F. Dual-continuum modeling of shale and tight gas reservoirs[C]//SPE Annual Technical Conference and Exhibition.San Antonio, Texas, USA: Society of Petroleum Engineers, 2012: SPE-159584-MS.
[10]	Civan F. Effective correlation of apparent gas permeability in tight porous media[J]. Transport in Porous Media,2010,82(2): 375-384.
[11]	彭凯, 宁正福, 王桂丽. 页岩气藏双重介质渗流模型研究[J]. 重庆科技学院学报(自然科学版), 2012,14(1): 8-11, 22.(PENG Kai, NING Zheng-fu, WANG Gui-li. Study for flow model in dual-porosity of shale gas reservoirs[J]. Journal of Chongqing University of Science and Technology(Natural Science Edition),2012,14(1): 8-11, 22.(in Chinese))
[12]	盛茂, 李根生, 黄中伟, 田守嶒, Shah S. 页岩气藏流固耦合渗流模型及有限元求解[J]. 岩石力学与工程学报, 2013,32(9): 1894-1900.(SHENG Mao, LI Gen-sheng, HUANG Zhong-wei, TIAN Shou-ceng, Shah S. Hydro-mechanical coupling model of shale gas reservoir and its finite element analysis[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(9): 1894-1900.(in Chinese))
[13]	唐颖, 张金川, 刘珠江, 李乐忠. 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 Jin-chuan, LIU Zhu-jiang, LI Le-zhong. Use and imrpovement of the desorption method in shale gas content tests[J]. Natural Gas Industry,2011,31(10): 108-112.(in Chinese))
[14]	Hudson J, Civan F, Michel-Villazon G, Devegowda D, Sigal R. Modeling multiple-porositytransport in gas-bearing shale formations[C]//Proceedings of the SPE Latin America and Caribbean Petroleum Engineering Conference.Mexico City, Mexico,2012.
[15]	Roy S, Raju R, Chuang H F, Cruden B A, Meyyappan M. Modeling gas flow through microchannels and nanopores[J]. Journal of Applied Physics,2003,93(8): 4870-4879.
[16]	张士诚, 牟松茹, 崔勇. 页岩气压裂数值模型分析[J]. 天然气工业, 2011,31(12): 81-84.(ZHANG Shi-cheng, MOU Song-ru, CUI Yong. Numerical simulation models with hydraulic fracturing in shale gas reservoirs[J]. Natural Gas Industry,2011,31(12): 81-84.(in Chinese))
[17]	李晓强, 周志宇, 冯光, 代曙光, 苏娜. 页岩基质扩散流动对页岩气井产能的影响[J]. 油气藏评价与开发，2011,1(5): 67-70.(LI Xiao-qiang, ZHOU Zhi-yu, FENG Guang, DAI Shu-guang, SU Na. The impact of shale matrix diffusion flow on shale gas capacity[J]. Reservoir Evaluation and Development,2011,1(5): 67-70.(in Chinese))