关威,
王军,
哈尔滨工业大学航天科学与力学系, 哈尔滨 150001
基金项目: 国家自然科学基金项目（41874129，41574112，41674121，11734017）和国家科技重大专项子课题（2017ZX05019006-006）资助
详细信息
作者简介: 时鹏, 男, 1989年生, 哈尔滨工业大学固体力学博士研究生, 主要研究方向为孔隙介质渗流和动电效应.E-mail:sp198911@outlook.com
通讯作者: 王军, 男, 1982年生, 博士, 副教授, 主要从事岩石物理和声波测井与动电测井实验研究.E-mail:wangjun2012@hit.edu.cn
中图分类号: P631收稿日期:2018-10-08
修回日期:2020-01-14
上线日期:2020-04-05
Analytical expressions of the dynamic permeability and electrokinetic coupling coefficient in fluid-saturated rock
SHI Peng,GUAN Wei,
WANG Jun,
Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, China
More Information
Corresponding author: WANG Jun,E-mail:wangjun2012@hit.edu.cn
MSC: P631--> Received Date: 08 October 2018
Revised Date: 14 January 2020
Available Online: 05 April 2020
摘要
摘要:动态渗透率和动电耦合系数是描述岩石中渗流波动和弹性-电磁耦合波效应的重要参数.本文基于毛细管束模型，提出了流体饱和孔隙介质的动态渗透率和动电耦合系数的解析表达式和简化表达式，并通过与前人近似式结果的对比，分析了不同表达式的合理性和适用性.在此基础上，理论分析了孔隙几何形状和孔径分布对渗透率和动电耦合系数的频率响应以及井孔震电耦合波场的影响.研究结果表明：当认为孔道均匀且达西渗透率、孔隙度和弯曲度恒定时，孔隙几何形状的影响很小，可以忽略，而前人的近似式高估了孔隙几何形状的影响；孔径分布的影响显著，随着孔径分布的增大，渗透率的临界频率显著减小，动电耦合系数的临界频率显著增加，震电测井的斯通利波及其伴随电场幅度显著增大.
关键词: 动电效应/
孔隙介质/
动态渗透率/
动电耦合系数
Abstract:The dynamic permeability and Electrokinetic Coupling Coefficient (ECC) are key parameters to characterize fluid flow and coupling between elastic and electromagnetic wavefields in porous rocks. Based on the model of capillary tube bundles for porous media,we derive the analytical expressions of the dynamic permeability and the ECC. By comparing with the approximate expressions in previous studies,we examine the validity and applicability of the analytical expressions proposed in this study. Besides,we further propose the simplified expressions for the dynamic permeability and the ECC. On this basis,we theoretically analyze the influences of the pore geometry and pore-size distribution on the dynamic permeability,the ECC and the seismoelectric logging wavefields. The results show that the influence of the pore geometry is ignorable,while it is over-valuated by previous studies. The influence of the pore-size distribution is significant. With the expansion of the pore-size distribution,the critical frequency of the permeability decreases but that of the ECC increases significantly,and the amplitudes of Stoneley waves and the accompanied electric field also increase significantly.
Key words:Electrokinetic effect/
Porous medium/
Dynamic permeability/
Electrokinetic coupling coefficient
PDF全文下载地址:
http://www.geophy.cn/data/article/export-pdf?id=dqwlxb_15436
