基于反常扩散模型的页岩气藏压裂水平井产能研究

Abstract

Abstract:

After the volume fracturing of shale gas reservoirs, due to the abrupt variations in the pore scale of the gas seepage and the severe difference between the characteristics of shale matrix and fractures, the seepage velocity field showed a sharp discontinuity, resulting in the failure of continuum assumption. In order to accurately understand the flow pattern of shale gas reservoirs and analyze the productivity, based on the trilinear flow model of fractured horizontal wells in shale gas reservoirs and coupled with the anomalous diffusion equation of fractal porous media, we established a fractured horizontal well productivity model of shale gas reservoirs. The dimensionless production was obtained by Laplace transform and Stehfest numerical inversion. Finally, we analyzed its result combining specific example and obtained a dimensional production curve. The analysis results showed that five flow regions for shale gas could be identified, including the linear flow stage of hydraulic fractures, the bilinear flow in hydraulic fractures and natural fractures, the linear flow stage of natural fractures, the bilinear flow in natural fractures and matrices, and the phase of matrix linear flow. Based on the production model, we also studied the influence of anomalous diffusion exponent, pseudo-permeability, storability ratio, fracture spacing and the like. on the production of shale gas reservoirs. The results indicated that the smaller abnormal diffusion exponent and the stronger matrix heterogeneity were, the more obvious decrease of productivity would be, and the natural fractures pseudo-permeability had great impact on the length of time in the linear flow of the natural fractures. Furthermore, the hydraulic fracture pseudo-permeability could influence the productivity in the whole middle-late production cycle. The larger the storability ratio was, the more obvious increase amplitude of productivity would be. The research provided a new idea and method for productivity analysis and evaluation of shale gas reservoirs.

Key words: shale gas, anomalous diffusion, volume fracturing, natural fractures, productivity, Laplace transform

CLC Number:

TE312

Li Yongming,Wu Lei,Chen Xi. Research on productivity of fractured horizontal wells in shale gas reservoirs based on anomalous diffusion model[J].Reservoir Evaluation and Development, 2019, 9(1): 72-79.

Figures/Tables 9

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References 24

[1]	董大忠, 邹才能, 戴金星 , 等. 中国页岩气发展战略对策建议[J]. 天然气地球科学, 2016,27(3):397-406. doi: 10.11764/j.issn.1672-1926.2016.03.0397
[2]	邱中建, 邓松涛 . 中国非常规天然气的战略地位[J]. 天然气工业, 2012,32(1):1-5. doi: 10.3787/j.issn.1000-0976.2012.01.001
[3]	江怀友, 鞠斌山, 李治平 , 等. 世界页岩气资源现状研究[J]. 中外能源, 2014,19(3):14-22.
[4]	郑军卫, 孙德强, 李小燕 , 等. 页岩气勘探开发技术进展[J]. 天然气地球科学 2011,22(3):511-517. doi: 10.1007/s12182-011-0123-3
[5]	苏玉亮, 盛广龙, 王文东 , 等. 页岩气藏多重介质耦合流动模型[J]. 天然气工业, 2016,36(2):52-59. doi: 10.3787/j.issn.1000-0976.2016.02.007
[6]	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. doi: 10.6052/0459-1879-12-047
[7]	Al-Ahmadi H A, Wattenbarger R A. Triple-porosity models: one further step towards capturing fractured reservoirs heterogeneity[C]// paper SPE-149054-MS presented at the SPE/DGS Saudi Arabia Section Technical Symposium and Exhibition, 15-18 May 2011, Al-Khobar, Saudi Arabia.
[8]	Ezulike D O, Dehghanpour H . A model for simultaneous matrix depletion into natural and hydraulic fracture networks[J]. Journal of Natural Gas Science & Engineering, 2014,16(17):57-69. doi: 10.1016/j.jngse.2013.11.004
[9]	Tian L, Xiao C, Liu M , et al. Well testing model for multi-fractured horizontal well for shale gas reservoirs with consideration of dual diffusion in matrix[J]. Journal of Natural Gas Science & Engineering, 2014,21(21):283-295. doi: 10.1016/j.jngse.2014.08.001
[10]	Thorstenson D C, Pollock D W . Gas transport in unsaturated porous media: The adequacy of Fick's law[J]. Reviews of Geophysics, 1989,27(1):61-78. doi: 10.1029/RG027i001p00061
[11]	田冷, 肖聪, 刘明进 , 等. 考虑页岩气扩散的多级压裂水平井产能模型[J]. 东北石油大学学报, 2014,38(5):93-102. doi: 10.3969/j.issn.2095-4107.2014.05.012
[12]	李勇明, 彭瑀, 王中泽 . 页岩气压裂增产机理与施工技术分析[J]. 西南石油大学学报(自然科学版), 2013,35(2):90-96. doi: 10.3863/j.issn.1674-5086.2013.02.013
[13]	钱斌, 张俊成, 朱炬辉 , 等. 四川盆地长宁地区页岩气水平井组“拉链式”压裂实践[J]. 天然气工业, 2015,35(1):81-84. doi: 10.3787/j.issn.1000-0976.2015.01.010
[14]	Raghavan R . Fractional diffusion: Performance of fractured wells[J]. Journal of Petroleum Science & Engineering, 2012, 92-93(4):167-173. doi: 10.1016/j.petrol.2012.06.003
[15]	孙洪广, 常爱莲, 陈文 , 等 . 反常扩散: 分数阶导数建模及其在环境流动中的应用[J]. 中国科学:物理学力学天文学, 2015,45(10):8-22. doi: 10.1360/SSPMA2015-00313
[16]	庞国飞, 陈文, 张晓棣 , 等. 复杂介质中扩散和耗散行为的分数阶导数唯象建模[J]. 应用数学和力学, 2015,36(11):1117-1134. doi: 10.3879/j.issn.1000-0887.2015.11.001
[17]	Obembe A D, Hossain M E, Abu-Khamsin S A . Variable-order derivative time fractional diffusion model for heterogeneous porous media[J]. Journal of Petroleum Science & Engineering, 2017,152:391-405. doi: 10.1016/j.petrol.2017.03.015
[18]	Albinali A, Ozkan E . Analytical modeling of flow in highly disordered, fractured nano-porous reservoirs[C]// paper SPE-180440-MS presented at the SPE Western Regional Meeting, 23-26 May 2016, Anchorage, Alaska,USA.
[19]	Holy R W, Ozkan E . Apractical and rigorous approach for production data analysis in unconventional wells[C]// paper SPE-180240-MS presented at the SPE Low Perm Symposium, 5-6 May 2016, Denver, Colorado, USA.
[20]	Obembe A D, Hossain M E, Mustapha K , et al. A modified memory-based mathematical model describing fluid flow in porous media[J]. Computers & Mathematics with Applications, 2016,73(6):1385-1402. doi: 10.1016/j.camwa.2016.11.022
[21]	Ozcan O, Sarak H, Ozkan E, et al. A trilinear flow model for a fractured horizontal well in a fractal unconventional reservoir[C]// paper SPE-170971-MS presented at the SPE Annual Technical Conference and Exhibition, 27-29 October 2014, Amsterdam, The Netherlands.
[22]	Caputo M . Linear Models of Dissipation whose Q is almost Frequency Independent-II[J]. Geophysical Journal International, 1967,13(5):529-539. doi: 10.4401/ag-5051
[23]	Stehfest H . Algorithm 368: Numerical inversion of Laplace transforms[J]. Communications of the Acm, 1970,13(1):47-49. doi: 10.1145/361953.361969
[24]	同登科, 陈钦雷 . 关于Laplace数值反演Stehfest方法的一点注记[J]. 石油学报, 2001,22(6):91-92. doi: 10.3321/j.issn:0253-2697.2001.06.020

Research on productivity of fractured horizontal wells in shale gas reservoirs based on anomalous diffusion model

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