考虑流动电位的微米/纳米毛细管单相渗流模式

doi:10.7623/syxb201501010

石油学报 ›› 2015, Vol. 36 ›› Issue (1): 81-88.DOI: 10.7623/syxb201501010

考虑流动电位的微米/纳米毛细管单相渗流模式

姚军, 张文娟, 卜亚辉, 孙海

中国石油大学石油工程学院山东青岛 266580

收稿日期:2014-06-06 修回日期:2014-09-16 出版日期:2015-01-25 发布日期:2014-12-09
通讯作者: 张文娟, 男, 1989年11月生, 2012年毕业于中国石油大学(华东)石油工程专业, 现为中国石油大学(华东)油气田开发工程专业硕士研究生, 主要从事油气渗流方面的研究.Email:zwjcup@163.com
作者简介:姚军, 男, 1964年3月生, 1984年毕业于华东石油学院采油工程专业, 2000年获石油大学(华东)油气田开发工程专业博士学位, 现为中国石油大学(华东)教授、博士生导师, 主要从事油藏工程、油气渗流等方面的研究.Email:yaojunhdpu@126.com
基金资助:
国家自然科学基金重点项目"页岩油藏开采基础研究"(No.51234007)资助.

Single-phase flow model in micro/nanoscale capillaries considering streaming potential

Yao Jun, Zhang Wenjuan, Bu Yahui, Sun Hai

College of Petroleum Engineering, China University of Petroleum, Shandong Qingdao 266580, China

Received:2014-06-06 Revised:2014-09-16 Online:2015-01-25 Published:2014-12-09

摘要/Abstract

摘要：

流体在多孔介质中流动时,由于固-液界面扩散双电层的存在,流体的流动会产生流动电位现象,而流动电位会反过来对流体在多孔介质中的流动造成影响.从微米和纳米尺度,利用圆形、正方形和三角形截面毛细管模型,采用有限元数值求解方法,研究了在不同毛细管尺寸下,流动电位对毛细管单相流体渗流模式的影响,得到了考虑流动电位情况下不同尺寸三角形截面毛细管传导率和其形状因子的关系,并研究了在不同毛细管尺寸条件下,考虑流动电位对流体流动的影响后外加压力梯度与流体流量之间的关系.研究结果表明,由于流动电位对流体流动的影响,当毛细管尺寸与扩散双电层厚度相当时,流动电位会对流体在毛细管中的流动产生显著影响,流体的流动阻力增加,毛细管传导率减小,但是毛细管中的流体流量与压力梯度仍然保持线性关系.

关键词: 流动电位, 微米/纳米尺度, 扩散双电层, 传导率, 毛细管模型

Abstract:

Due to the presence of electric double layer at the solid-liquid interface, fluid flow in porous media can give rise to streaming potential which in turn influences the fluid flow. In this study, the impact of streaming potential on fluid flow is investigated at the micro-/nanoscale by resolving different sizes of capillary models of circular, square, and triangular cross sections using finite element numerical method. The relationships between conductivities in triangular capillaries of different sizes and their corresponding shape factors are examined by considering streaming potential. Additionally, the relationship between flow rate in capillaries of different sizes and their external pressure gradients are investigated. Results show that streaming potential strongly impacts fluid flow in capillaries when the size of the capillary is comparable to the thickness of the electric double layer. Due to the impact of streaming potential, flow resistance of the fluid increases while the conductivities in capillaries decrease. However, the relationship between flow rate and pressure gradient in capillaries remains linear.

Key words: streaming potential, micro/nanoscale, electrical double layer, conductivity, capillary model

中图分类号:

TE312

姚军, 张文娟, 卜亚辉, 孙海. 考虑流动电位的微米/纳米毛细管单相渗流模式[J]. 石油学报, 2015, 36(1): 81-88.

Yao Jun, Zhang Wenjuan, Bu Yahui, Sun Hai. Single-phase flow model in micro/nanoscale capillaries considering streaming potential[J]. Acta Petrolei Sinica, 2015, 36(1): 81-88.

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考虑流动电位的微米/纳米毛细管单相渗流模式

Single-phase flow model in micro/nanoscale capillaries considering streaming potential

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