页岩纳米孔隙中滑脱效应及克努森扩散实验研究

孙艳玲; 高博; 佟智强; 王建伟; 谷马军; 王振; 刘启明

doi:10.13686/j.cnki.dzyzy.2024.05.007

页岩纳米孔隙中滑脱效应及克努森扩散实验研究

中国地质调查局牡丹江自然资源综合调查中心, 黑龙江牡丹江 1570021

基金项目:
国家自然科学基金项目“连锁破坏性关键块体的确定方法”(41272387)

详细信息

作者简介: 孙艳玲(1990-), 女, 硕士, 工程师, 主要从事水工环地质调查工作, 通信地址黑龙江省牡丹江市东安区卧龙街45号, E-mail//1049845147@qq.com

通讯作者: 高博(1991-), 男, 工程师, 主要从事水文地质、工程地质、环境地质调查工作, 通信地址黑龙江省牡丹江市东安区卧龙街45号, E-mail//845916835@qq.com

中图分类号: P618.13

收稿日期: 2023-02-08

修回日期: 2023-08-14

刊出日期: 2024-10-25

EXPERIMENTAL STUDY OF SLIPPAGE EFFECTS AND KNUDSEN DIFFUSION IN SHALE NANOPORES

Mudanjiang Natural Resources Comprehensive Survey Center, CGS, Mudanjiang 157021, Heilongjiang Province, China

More Information

Corresponding author: GAO Bo, 845916835@qq.com

Received Date: 08 February 2023

Revised Date: 14 August 2023

Publish Date: 25 October 2024

摘要

摘要:
页岩纳米孔隙中除达西流外, 滑脱效应及克努森扩散也是页岩气的主要流动方式. 查明其特征、变化趋势及影响因子对页岩气开采开发十分必要. 本研究选取柴达木盆地东部石炭系5块页岩样品, 测得TOC、R_o、孔径及矿物成分等物理化学性质. 根据达西原理设计实验, 结合质量通量模型和表观渗透率公式, 得到达西流、滑脱效应及克努森扩散的渗透率贡献值、分配系数及质量通量随压力变化的趋势, 分析物理化学性质影响. 结果表明: 滑脱效应的渗透率贡献值在压力较小时比例最大, 后逐渐变小, 质量通量变化不大; 克努森扩散所占比例小, 随着压力升高而下降; 达西流产生的渗透率贡献值不变, 所占比例及质量通量上升. TOC、R_o对真实地层中页岩气流动影响较大, 矿物含量及孔径对渗流有直接影响.
- 达西流 /
- 滑脱效应 /
- 克努森扩散 /
- 质量通量 /
- 表观渗透率 /
- 页岩气
Abstract:
In addition to Darcy flow, slippage effect and Knudsen diffusion are also the main flow modes of shale gas in nanopores. It is necessary to find out their characteristics, changing trend and influencing factors for shale gas exploitation. In this study, five Carboniferous shale samples are collected from the eastern Qaidam Basin to test the physical and chemical properties such as TOC, R_o, pore size and mineral compositions. The experiment is designed on the basis of Darcy principle. Combined with mass flux model and apparent permeability formula, the permeability contribution values, distribution coefficients and the trend of mass flux with pressure of Darcy flow, slippage effect and Knudsen diffusion are obtained to analyze the effects of such physicochemical properties. The results show that the permeability contribution value of slippage effect is the largest when the pressure is small, and then gradually decreases, with a little change in mass flux. The proportion of Knudsen diffusion is small and decreases with the increase of pressure. The permeability contribution value of Darcy flow remains unchanged, while the proportion and mass flux increase. The TOC and R_o have great effect on shale gas flow in real formation, and mineral content and pore size have direct influence on seepage.
- Darcy flow /
- slippage effect /
- Knudsen diffusion /
- mass flux /
- apparent permeability /
- shale gas

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图 1 岩石渗透率实验装置图

Figure 1.

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图 2 渗透率实验结果

Figure 2.

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图 3 样品达西流、扩散流及滑脱流对表观渗透率贡献值

Figure 3.

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图 4 样品达西流、扩散流及滑脱流对表观渗透率的贡献分配系数

Figure 4.

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图 5 样品达西流、扩散流及滑脱流对质量通量贡献值

Figure 5.

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图 6 页岩物理化学性质对表观渗透率的影响

Figure 6.

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图 7 孔隙半径与表观渗透率关系

Figure 7.

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表 1 实验样品信息表

Table 1. Basic information of test samples

样品号	S16	S23	S27	S39	S49
深度/m	805.60	565.17	839	846.24	865.34
孔隙度/%	2.19	1.89	4.79	4.20	2.99
长度/cm	1.47	1.03	1.49	1.53	1.52
半径/cm	1.25	1.25	1.25	1.25	1.25

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表 2 实验计算结果表

Table 2. Test and calculation results of samples

样品号	S16	S23	S27	S39	S49
K/μm²	2.76E-09	5.05E-09	8.26E-09	1.12E-08	5.68E-09
μD_k/（μm²/MPa）	2.39E-10	8.58E-11	1.50E-10	1.61E-10	8.17E-11
b_k/MPa-1	8.81	4.17	7.55	16.54	8.98

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表 3 页岩样品的物理化学性质

Table 3. Physical and chemical properties of shale samples

样品号	S16	S23	S27	S39	S49
TOC/%	1.04	0.93	0.18	1.13	0.46
S/%	1.1	0.57	0.66	0.16	0.46
镜质体反射率/R_o	1.44	2.03	1.97	1.46	1.89
干酪根类型	Ⅱ2	Ⅱ2	Ⅱ2	Ⅱ1	Ⅱ2

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表 4 页岩样品矿物成分测试结果

Table 4. Mineral compositions of shale samples

样品号	S16	S23	S27	S39	S49
石英	38	46	64	87	84
白云石	2	< 1	—	< 1	—
方解石	16	< 1	—	< 1	—
菱铁矿	10	< 1	—	—	< 1
斜长石	3	—	—	—	—
黏土总量	31	51	36	11	15
含量单位: %.

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表 5 5 MPa下页岩表观渗透率及平均孔径

Table 5. Apparent permeability and average pore size of shale under the pressure of 5 MPa

样品号	S16	S23	S27	S39	S49
压汞法孔径总体积/μm³	2.93	15.74	0.256	0.058	0.05
压汞法孔径大小/nm	12.32	3.56	4.77	6.3	3.58
氮气吸附法孔径大小/nm	4.73	1.7	2.97	3.2	1.62
孔径平均值/nm	8.525	2.63	3.87	4.75	2.6
表观渗透率/μm²	7.68E-09	9.28E-09	2.08E-08	4.83E-08	1.59E-08

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