波谱学杂志

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水分子在微孔隙介质中的受限扩散模拟

张宗富,肖立志*,刘化冰,李 新,邓 峰,许 巍,安天琳,成家杰   

  1. 油气资源与探测国家重点实验室,中国石油大学,北京102249
  • 收稿日期:2012-12-12 修回日期:2012-12-29 出版日期:2014-03-05 发布日期:2014-03-05
  • 作者简介:张宗富(1987-),男,山东菏泽人,硕士研究生,主要从事NMR 测井方法研究.*通讯联系人:肖立志,电话:010-89733305,E-mail: xiaolizhi@cup.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(41074102),高等学校学科创新引智计划“111 计划”资助项目(B13010),长江学者和创新团队发展计划资助项目.

Simulation of Restricted Diffusion of Water Molecules in Micropores

ZHANG Zong-fu,XIAO Li-zhi∗,LIU Hua-bing,LI Xin,DENG Feng,XU Wei,AN Tian-lin,CHENG Jia-jie   

  1. State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum, Beijing 102249, China
  • Received:2012-12-12 Revised:2012-12-29 Online:2014-03-05 Published:2014-03-05
  • About author:XIAO Li-zhi, Tel: 010 89733305, E-mail: xiaolizhi@cup.edu.cn.
  • Supported by:

    国家自然科学基金资助项目(41074102),高等学校学科创新引智计划“111 计划”资助项目(B13010),长江学者和创新团队发展计划资助项目.

摘要:

在饱和多相流体孔隙介质中,利用核磁共振测得的扩散系数可以区分油气水,并用于饱和度等岩石物理参数的求取,但在微小孔隙(< 20 μm)中,流体的表观扩散系数会偏离其自由扩散系数.通过有限差分和随机游走模拟方法对水分子在单孔隙及多孔隙介质中的扩散进行数值模拟,考察水分子扩散受限的程度.结合核磁共振在测井及实验室岩石物理应用的技术,进一步分析了受限扩散对求取油水饱和度等岩石物理参数造成的影响.同时,分析总结了两种模拟方法的使用条件及优缺点.

关键词: 核磁共振(NMR), 受限扩散, 微小孔隙, 有限差分, 随机游走

Abstract:

In petroleum exploration, diffusion coefficient measured with NMR techniques is often used to identify fluid types (e.g., oil, water, and gas) and to calculate the saturation degree of reservoir rocks. In the micro-pores, however, the apparent or effective diffusion coefficient must be lower than the free diffusion coefficient. In this paper, the relationship between pore size and apparent diffusion coefficient is simulated using the finite difference and random walk methods. The effects of restricted diffusion on the accuracy of the petrophysical parameter calculations were analyzed under the well-logging and laboratory
conditions. Lastly, the application conditions and advantages of the two simulation methods were discussed.

Key words: NMR, restricted diffusion, micropore, finite difference, random walk

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