ZHAO Tian-wu, SHEN Yong-kuan, CHEN Jie, LIU Chuang, LIU He, WU Heng-an. Sensitivity Analysis of Production in Fractured Shale Gas Reservoirs[J]. Applied Mathematics and Mechanics, 2016, 37(7): 718-728. doi: 10.21656/1000-0887.360357
Citation: ZHAO Tian-wu, SHEN Yong-kuan, CHEN Jie, LIU Chuang, LIU He, WU Heng-an. Sensitivity Analysis of Production in Fractured Shale Gas Reservoirs[J]. Applied Mathematics and Mechanics, 2016, 37(7): 718-728. doi: 10.21656/1000-0887.360357

Sensitivity Analysis of Production in Fractured Shale Gas Reservoirs

doi: 10.21656/1000-0887.360357
Funds:  The National Natural Science Foundation of China(11472263; 11525211)
  • Received Date: 2015-12-29
  • Rev Recd Date: 2016-03-02
  • Publish Date: 2016-07-15
  • In view of gas seepage and effect of desorption, shale compressibility and slippage effect, the full coupling mathematical model for production of the fracture system in shale gas reservoirs was established. The matrix and fracture flow field was solved with the finite element method. The simulation results were consistent with the published field data from the Barnett Shale in the Newark East field. Based on this model, the effects of the fracture’s half length, number, spacing and gas desorption on gas production were simulated. The numerical results show that the fracture parameters are interactive. The influence of the half length on production enhancement is dominant. The optimal number of fractures is related to the fracture’s half length. In the middle and late parts of the gas production period, the effect of desorption provides considerable production. The presented model makes an effective theoretical tool for the optimization of shale fracturing design.
  • loading
  • [1]
    WU Yu-shu, Moridis G J, BAI Bao-jun, ZHANG Ke-ni. A multi-continuum model for gas production in tight fractured reservoirs[C]// SPE Hydraulic Fracturing Technology Conference .The Woodlands, Texas: Society of Petroleum Engineers, 2009: SPE-118944-MS.
    [2]
    孙海, 姚军, 孙致学, 樊冬艳. 页岩气数值模拟技术进展及展望[J]. 油气地质与采收率, 2012,19(1): 46-49.(SUN Hai, YAO Jun, SUN Zhi-xue, FAN Dong-yan. The research situation and prospect of numerical simulation in shale gas fracturing[J].Petroleum Geology and Recovery Efficiency,2012,19(1): 46-49.(in Chinese))
    [3]
    ZHANG Xu, DU Chang-an, Deimbacher F, Crick M, Harikesavanallur A. Sensitivity studies of horizontal wells with hydraulic fractures in shale gas reservoirs[C]// International Petroleum Technology Conference.Doha, Qatar: International Petroleum Technology Conference, 2009: IPTC-13338-MS.
    [4]
    Cipolla C L, Lolon E, Mayerhofer M J. Reservoir modeling and production evaluation in shale-gas reservoirs[C]//International Petroleum Technology Conference.Doha, Qatar: International Petroleum Technology Conference, 2009: IPTC-13185-MS.
    [5]
    Cipolla C L, Lolon E, Mayerhofer M J, Warpinski N. Fracture design considerations in horizontal wells drilled in unconventional gas reservoirs[C]// SPE Hydraulic Fracturing Technology Conference.The Woodlands, Texas: Society of Petroleum Engineers, 2009: SPE-119366-MS.
    [6]
    YU Wei, Luo Z, Javadpour F, Varavei A, Sepehrnoori K. Sensitivity analysis of hydraulic fracture geometry in shale gas reservoirs[J].Journal of Petroleum Science and Engineering,2014,113: 1-7.
    [7]
    姚同玉, 黄延章, 李继山. 页岩中页岩气渗流系数计算模型[J]. 应用数学和力学, 2014,35(8): 939-948.(YAO Tong-yu, HUANG Yan-zhang, LI Ji-shan. Calculation model for the permeability coefficient of shale gas in shale matrix[J].Applied Mathematics and Mechanics,2014,35(8): 939-948.(in Chinese))
    [8]
    Kalantari D A, Mohaghegh S D. A new practical approach in modelling and simulation of shale gas reservoirs application to New Albany Shale[J].International Journal of Oil, Gas and Coal Technology,2010,4(2): 104-133.
    [9]
    Langmuir I. The adsorption of gases on plane surfaces of glass, mica and platinum[J].Journal of the American Chemical Society,1918,40(9): 1361-1403.
    [10]
    Klinkenberg L J. The permeability of porous media to liquids and gases[J].Drilling and Production Practice,1941,2(2): 200-213.
    [11]
    WU Yu-shu, Pruess K, Persoff P. Gas flow in porous media with Klinkenberg effects[J].Transport in Porous Media,1998,32(1): 117-137.
    [12]
    Jones F O, Owens W W. A laboratory study of low-permeability gas sands[J].Journal of Petroleum Technology,1980,32(9): 1631-1640.
    [13]
    Butt S D, Frempong P K, Mukherjee C, Upshall J. Characterization of the permeability and acoustic properties of an outburst-prone sandstone[J].Journal of Applied Geophysics,2005,58(1): 1-12.
    [14]
    COMSOL. Comsol multiphysics user’s guide[Z]. COMSOL Inc, 2012.
    [15]
    Grieser B, Shelley B, Soliman M. Predicting production outcome from multi-stage, horizontal Barnett completions[C]// SPE Production and Operations Symposium.Oklahoma City, Oklahoma: Society of Petroleum Engineers, 2009: SPE-120271-MS.
    [16]
    Abaa K, Wang J Y, Ityokumbul M T. Parametric study of fracture treatment parameters for ultra-tight gas reservoirs[J].Journal of Petroleum Exploration and Production Technology,2013,3(3): 159-168.
    [17]
    Cohen C E, Abad C, Weng X, England K, Phatak A, Kresse O, Nevvonen O, Lafitte V, Abivin P. Analysis on the impact of fracturing treatment design and reservoir properties on production from shale gas reservoirs[C]//International Petroleum Technology Conference.Beijing, China: International Petroleum Technology Conference, 2013: IPTC-16400-MS.
    [18]
    Leahy D A, Das M, Agarwal A, Kaminsky R D. Modeling of transport phenomena and multicomponent sorption for shale gas and coalbed methane in an unstructured grid simulator[C]//SPE Annual Technical Conference and Exhibition.Denver, Colorado, USA: Society of Petroleum Engineers, 2009: SPE-147352-MS.
    [19]
    Mengal S A, Wattenbarger R A. Accounting for adsorbed gas in shale gas reservoirs[C]//SPE Middle East Oil and Gas Show and Conference.Manama, Bahrain: Society of Petroleum Engineers, 2011: SPE-141085-MS.
    [20]
    Cipolla C L, Lolon E P, Erdle J C, Rubin B. Reservoir modeling in shale-gas reservoirs[J].SPE Reservoir Evaluation & Engineering,2010,13(4): 638-653.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1035) PDF downloads(2660) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return