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考虑基质收缩效应的页岩气双孔双渗模型

曹成，李天太，张磊，高潮，王晖   

  1. 1.中国石油大学(北京) 石油工程学院，北京 102249;
    2.陕西延长石油(集团)有限责任公司研究院，陕西 西安 710075;
    3.西安石油大学石油工程学院，陕西 西安710065
  • 收稿日期:2015-03-24 修回日期:2015-06-21 出版日期:2015-12-10 发布日期:2015-12-10
  • 作者简介:曹成(1984-)，男，陕西延安人，博士研究生，主要从事页岩气藏地质建模与数值模拟研究. E-mail:caochengyanlian@163.com.
  • 基金资助:

    国家高技术研究发展计划(“863”计划)“页岩气钻完井及储存评价与产能预测技术研究”(编号:2013AA064501);陕西省科技统筹创新工程计划“陆相页岩气资源地质研究与勘探开发关键技术攻关”(编号:2012KTZB03-01-01)联合资助.

Shale Gas Dual Porosity-dual Permeability Model with Matrix Shrinking

CAO Cheng，LI Tian-tai，ZHANG Lei，GAO Chao，WANG Hui   

  1. 1.School of Petroleum Engineering,China University of Petroleum,Beijing 102249,China;
    2.Research Institute of Shanxi Yanchang Petroleum (Group) Co.Ltd.,Xi′an 710075,China;
    3.College of Petroleum Engineering,Xi′an Shiyou University,Xi′an 710065,China
  • Received:2015-03-24 Revised:2015-06-21 Online:2015-12-10 Published:2015-12-10

PDF (PC)

443

摘要：

为了研究吸附性页岩储层基质收缩效应对气体渗流特征的影响，引入吉布斯表面自由能函数，建立考虑基质收缩效应、应力敏感效应、滑脱效应和自由分子流动效应的双孔双渗介质数学模型;采用隐式裂缝压力—显式基质压力离散方法对模型求解。并针对鄂尔多斯盆地古生界山西组页岩讨论基质收缩效应、应力敏感效应、滑脱效应和自由分子流动效应对气体流动机制及产量的影响。结果表明:①基质绝对渗透率的反弹点和兰缪尔体积、页岩密度、温度、杨氏模量、压缩系数有关，与兰缪尔压力无关;②基质收缩效应减少黏性流量占总流通量比例，增加滑脱流量和自由分子流量占总流通量比例;③基质收缩效应和应力敏感效应在基质孔径较大时对产量影响比较显著，当孔径小于2nm时，可以忽略基质收缩效应和应力敏感效应的影响;④滑脱效应和自由分子流动效应在低压小孔时对产量的贡献量变大，当孔径大于50nm时，滑脱效应和自由分子流动效应对产量基本没有贡献。

关键词: 基质收缩, 吉布斯表面自由能函数, 应力敏感, 滑脱, 自由分子流动, 双孔双渗

Abstract:

In order to investigate the effect of matrix shrinkage on the behavior of gas seepage,Gibbs surface free energy function was introduced to establish a dual porosity-dual permeability model considering matrix shrinkage,effective stress,slippage and free molecular flow effect.Implicit fracture pressure and explicit matrix pressure method was applied to discretize governing equations.We discuss the effect of matrix shrinkage,effective stress,slippage and free molecular flow on gas flow mechanism and production rate in the Upper Paleozoic Shanxi Formation in the Ordos Basin.The results showed that,the rebound of absolute permeability has relationship with Langmuir volume,shale density,temperature,Young modulus,rock compressibility,instead of Langmuir pressure.Matrix shrinkage reduces the ration of viscous flow to total flow rate and decreases the ration of slip flow and free molecular flow to total flow rate.Matrix shrinkage and stress sensitivity have a considerable influence on production rate in large diameter and the influence can be ignored when pore diameter is smaller than 2nm.Slippage and free molecular flow contribute largely to production rate in low pressure and small pore.There is no contribution to production rate when pore diameter is bigger than 50nm.

Key words: Matrix shrinkage, Gibbs surface free energy function, Effective stress, Slippage, Free molecule flow, Dual porosity-dual permeability model

中图分类号: 

  • TE132
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