特种油气藏 ›› 2021, Vol. 28 ›› Issue (3): 76-80.DOI: 10.3969/j.issn.1006-6535.2021.03.011

• 油藏工程 • 上一篇    下一篇

基于页岩气多重运移机制的二项式视渗透率公式

袁迎中1,2, 严文德1,2, 戚志林1,2, 李继强1,2, 黄小亮1,2   

  1. 1.复杂油气田勘探开发重庆市重点实验室重庆科技学院,重庆 401331;
    2.重庆科技学院,重庆 401331
  • 收稿日期:2020-08-13 修回日期:2021-04-01 出版日期:2021-06-25 发布日期:2022-02-16
  • 作者简介:袁迎中(1983—),男,高级工程师,2004年毕业于西南石油学院石油工程专业,2009年毕业于西南石油大学油气田开发工程专业,获博士学位,现主要从事油气渗流理论、复杂油气田开发理论及技术方面的研究工作。
  • 基金资助:
    国家科技重大专项“深层礁滩相储层气水两相渗流特征研究”(2016ZX05017-001-HZ02);重庆市自然科学基金“页岩凝析气藏相态特征及微纳米孔隙油气两相渗流机理研究”(cstc2019jcyj-msxmX0331)、“深层页岩气藏多重介质流固耦合渗流机理及影响产能的关键因素研究”(cstc2019jcyj-zdxmX0032)、“压裂液对超低含水页岩气井产能影响规律研究”(cstc2018jcyjAX0700);重庆市教委科学技术研究项目“页岩储层-压裂液水化作用机理及气水两相渗流模型研究”(KJQN202001501)。

Binomial apparent permeability formula based on multiple migration mechanism of shale gas

Yuan Yingzhong1,2, Yan Wende1,2, Qi Zhilin1,2, Li Jiqiang1,2, Huang Xiaoliang1,2   

  1. 1. Chongqing Key Laboratory of Complex Oil and Gas Field Exploration and Development,Chongqing 401331,China;
    2. Chongqing University of Science and Technology, Chongqing 401331, China
  • Received:2020-08-13 Revised:2021-04-01 Online:2021-06-25 Published:2022-02-16

摘要: 针对页岩气视渗透率公式与实验数据吻合性差,不能很好地反映页岩气的黏性流、滑脱流、Knudsen扩散和表面扩散等多重运移机制的问题,运用理论推导结合实验数据分析的方法,得到了基于页岩气多重运移机制的视渗透率与平均压力倒数的二项式公式。该公式考虑了速度梯度随孔壁距离的变化及与压力倒数的平方有关的表面扩散视渗透率。将研究成果应用于页岩气视渗透率测试数据分析,结果表明:速度梯度的变化导致视渗透率与平均压力倒数关系曲线出现负曲率,而表面扩散导致曲线出现正曲率。通过曲线回归,可得到二项式参数ab计算表面扩散引起的视渗透率和表面扩散系数。研究成果能更有效地解释已有实验数据,对研究页岩气的多重运移机制和分析开发动态具有十分重要的意义。

关键词: 页岩气, 多重运移机制, 视渗透率, 二项式公式, 表面扩散

Abstract: The binomial formula of apparent permeability and average pressure reciprocal based on multiple migration mechanisms of shale gas was obtained by using theoretical derivation combined with experimental data analysis to address the problem that the poor matching between the apparent permeability formula of shale gas and the experimental data fails to well reflect the multiple migration mechanisms of shale gas such as viscous flow, slip flow, Knudsen diffusion and surface diffusion. This formula took into account the change of the velocity gradient with the distance of the pore wall and the apparent permeability of surface diffusion related to the square of pressure reciprocal. The study results were applied to analyzing the apparent permeability test data of shale gas, and the results showed that the change of velocity gradient led to negative curvature in the relationship curve between apparent permeability and average pressure reciprocal, and surface diffusion led to positive curvature. The binomial parameters a and b were obtained based on curve regression to calculate the apparent permeability and surface diffusion coefficient caused by surface diffusion. The study results explained the existing experimental data more effectively, with great significance for studying the multiple migration mechanism of shale gas and analyzing the development performance.

Key words: shale gas, multiple migration mechanisms, apparent permeability, binomial formula, surface diffusion

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