Theoretical study of gas periodic oscillation method for low permeability testing in porous media

WANG Wei; CHEN Wei-zhong; YANG Dian-sen; YANG Guang-hua; ZHOU Xiao-wen; YUAN Ming-dao; SHI Yong-sheng; LIU Yi-jie

doi:10.16285/j.rsm.2023.1326

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Theoretical study of gas periodic oscillation method for low permeability testing in porous media

更新时间：2026-06-25

- Theoretical study of gas periodic oscillation method for low permeability testing in porous media
- Vol. 45, Issue 7, Pages: 1939-1956(2024)
- 作者机构：
  
  1. ．广东省水利水电科学研究院,广东,广州,510610
  2. ．广东省岩土工程技术研究中心,广东,广州,510640
  3. ．华南理工大学土木与交通学院,广东,广州,510640
  4. ．中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北,武汉,430071
  5. ．武汉大学土木建筑工程学院,湖北,武汉,430072
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2023.1326
  CLC： TE311
- Online First：19 July 2024，
  
  Published：2024
- 稿件说明：
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WANG Wei, CHEN Wei-zhong, YANG Dian-sen, et al. Theoretical study of gas periodic oscillation method for low permeability testing in porous media[J]. 2024, 45(7): 1939-1956.
DOI：

WANG Wei, CHEN Wei-zhong, YANG Dian-sen, et al. Theoretical study of gas periodic oscillation method for low permeability testing in porous media[J]. 2024, 45(7): 1939-1956. DOI： 10.16285/j.rsm.2023.1326.

摘要

目前，多孔介质低渗测试主要采用高精度气体稳态法和气体脉冲衰减法，缺少对气体周期振荡法的深入探讨和分析。基于气体周期振荡法基本原理和试验方法，提出了3种基于不同控制方式模拟生成周期波气压边界条件的方法，以及在试样上游和下游分别设置1个体积可调的气体储存容器的试验设备方案。基于孔隙流体介质的讨论，将Fischer等提出的以不可压缩流体为渗流介质的周期法理论解，推广到以可压缩流体为渗流介质的情况，扩大了周期法理论解的适用范围，并讨论了各参数之间的物理意义及其联系。基于气体周期振荡法理论解，进行了2个特例分析，优化了理论解中复杂分项的处理。通过一系列正交对照计算案例，对比了气体周期振荡法理论解和数值解的计算结果，讨论了渗透率、孔隙率、下游容器体积、试样直径和长度等对试验过程的影响，验证了理论解的准确性和可靠性，并对理论解的不足进行了说明，在此基础上，给出了气体周期振荡法试验的优化设计策略。

Abstract

The high-precision gas steady-state method and the gas pulse decay method are widely used in the permeability measurement of tight porous media. However there is a lack of in-depth discussion and analysis of the gas periodic oscillation method (POM). The basic principle of POM is introduced

and three practical methods for simulating periodic pressure waves are proposed. Additionally

an experimental equipment scheme is recommended

which includes two adjustable gas storage containers on each side of the specimen. The theory proposed by Fischer regarding the periodic oscillation method is expanded in this study to include the scenario where the seepage medium is a compressible fluid

as opposed to only considering incompressible fluids. This extension allows for a wider range of applications for the periodic oscillation method. Additionally

the study examines the physical significance of this method and analyzes the relationships between different parameters involved. Based on the generic theoretical solution of POM

two special cases are analyzed and the treatment of some complex sub-terms is optimized. The calculation results of the theoretical and numerical solutions of POM are compared through a series of orthogonal cases

and the effects of permeability

porosity

downstream container volume

specimen diameter and length on the experimental process are discussed respectively. The numerical solutions are used to verify the accuracies and stabilities of the theoretical solutions

and to illustrate some shortages of the theoretical solutions. Based on the case study

a better design strategy of POM experiment is given.

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