围压变化作用下基于水力开度变化的单裂隙渗流特性研究

doi:10.19657/j.geoscience.1000-8527.2023.059

现代地质 ›› 2023, Vol. 37 ›› Issue (04): 972-976.DOI: 10.19657/j.geoscience.1000-8527.2023.059

围压变化作用下基于水力开度变化的单裂隙渗流特性研究

程智余¹(), 刘瑞², 张金锋¹, 马海春³(), 王京平³

1.国网安徽省电力有限公司, 安徽合肥 230061
2.安徽华电工程咨询设计有限公司, 安徽合肥 230022
3.合肥工业大学资源与环境工程学院, 安徽合肥 230009

收稿日期:2021-04-30 修回日期:2022-12-14 出版日期:2023-08-10 发布日期:2023-09-02
通讯作者: 马海春,男,副教授,1983年出生,工程力学专业,主要从事岩石裂隙变形和渗透理论研究。Email:mahaichun@hfut.edu.cn。
作者简介:马海春,男,副教授,1983年出生,工程力学专业,主要从事岩石裂隙变形和渗透理论研究。Email:mahaichun@hfut.edu.cn。
程智余,男,硕士,1966年出生,电力工程专业,主要从事区域地质稳定性调查评价研究。Email:2243622082@qq.com。
基金资助:
国家自然科学基金重点项目(41831289)

Study on Seepage Mechanism Characteristics of A Single Fracture Based on Fracture Deformation Under Different Confining Pressures

CHENG Zhiyu¹(), LIU Rui², ZHANG Jinfeng¹, MA Haichun³(), WANG Jingping³

1. State Grid Anhui Electric Power, Hefei, Anhui 230061, China
2. Anhui Huadian Engineering Consulting & Design Co., Ltd, Hefei, Anhui 230022, China
3. School of Resources and Environmental Engineering, Hefei University of Technology, Hefei, Anhui 230009, China

Received:2021-04-30 Revised:2022-12-14 Online:2023-08-10 Published:2023-09-02

摘要/Abstract

摘要：

地下水流动及相应的溶质运移受广泛且复杂分布的地应力的影响,因此对不同围压下渗流的相关研究显得尤为必要。本文以基础的本构方程为出发点,对围压作用下的渗流进行定量的分析。基于水力开度的变化和单个结构面闭合变形法则,建立考虑围压下单裂隙的渗流特性,即渗流压力(P_s)、水力开度(e_h)、渗透率(k)和围压(P_c)的关系模型。在岩心夹持器中进行大理岩的单裂隙渗流实验,并对试验数据进行回归分析。结果表明,该模型可有效地预测不同流量下的渗流压力、水力开度和渗透率与围压的非线性关系。在单裂隙中定流量条件下,围压与渗流压力正相关,且呈现为过量渗流压力形式的非线性关系。水力开度和渗透率在12 MPa围压内快速下降,围压大于12 MPa后呈趋于稳定的非线性关系。

关键词: 围压, 裂隙变形本构关系, 单裂隙, 水力开度, 渗透率

Abstract:

It is necessary to study the seepage flow under different confining pressures in laboratory because the real groundwater flow and solute transport are affected by the extensive and complex distribution of in-situ stress. In practical projects such as groundwater pollution prevention and control, the permeability of fractures is signi-ficantly affected by confining pressure. Based on the basic constitutive law, the seepage flow under confining pressure is analyzed quantitatively in this paper. Based on the deformation of hydraulic aperture and the defor-mation law of fracture, the relationship model between seepage characteristics (seepage pressure P_s, hydraulic aperture e_h and permeability k) and confining pressure P_c under confining pressure is established. The hydraulic experiment of a single fracture of marble is carried out in a core holder, and the experimental data are regressed. It is verified that the model has a high fitting effect. It can effectively predict the relationship between the seepage characteristics (seepage pressure, hydraulic opening and permeability) and the surrounding pressure.

Key words: confining pressure, fracture deformation constitutive law, single fracture, hydraulic aperture, permeability

中图分类号:

P641.2
TU452

程智余, 刘瑞, 张金锋, 马海春, 王京平. 围压变化作用下基于水力开度变化的单裂隙渗流特性研究[J]. 现代地质, 2023, 37(04): 972-976.

CHENG Zhiyu, LIU Rui, ZHANG Jinfeng, MA Haichun, WANG Jingping. Study on Seepage Mechanism Characteristics of A Single Fracture Based on Fracture Deformation Under Different Confining Pressures[J]. Geoscience, 2023, 37(04): 972-976.

图/表 8

图1 围压Pc与水力开度eh的变化的概念模型 (为了突出裂隙的变化导致裂隙开度与实际不同)

Fig.1 Conceptual model of change between hydraulic aperture eh and confining pressure Pc

图2 本研究使用的水力实验系统

Fig.2 Hydro-mechanical test system of this study

图3 圆柱形大理岩裂隙试样

Fig.3 Preparation of cylindrical fractured marble sample of this study

图4 定流量条件下的围压和渗流压力的关系

Fig.4 Relationship between confining pressure and seepage pressure under the constant flow rate

表1 Pc和Ps的回归分析

Table 1 Regression analysis of Pc and Ps

流量Q (mL/min)	$e h i$	f_cU_m	K_n	$12 μ l Q w$	R²
0.2	1.13	0.77	5.72	493.06	0.9897
0.3	1.15	0.78	5.83	755.62	0.9918
0.4	1.17	0.79	5.94	1058.86	0.9895
0.5	1.19	0.8	6.02	1363.62	0.9939

表1 Pc和Ps的回归分析

Table 1 Regression analysis of Pc and Ps

流量Q (mL/min)	$e h i$	f_cU_m	K_n	$12 μ l Q w$	R²
0.2	1.13	0.77	5.72	493.06	0.9897
0.3	1.15	0.78	5.83	755.62	0.9918
0.4	1.17	0.79	5.94	1058.86	0.9895
0.5	1.19	0.8	6.02	1363.62	0.9939

图5 定流量条件下的围压和水力开度的关系

Fig.5 Relationship between confining pressure and hydraulic opening under fixed flow conditions

图6 定流量条件下的围压和渗透率的关系

Fig.6 Relationship between confining pressure and permeabi-lity under fixed flow conditions

表2 Pc和eh或Pc和k的回归分析

Table 2 Regression analysis of Pc and eh or Pc and k

参数	流量Q (mL/min)	R²
e_h	0.2	0.9913
	0.3	0.9906
	0.4	0.9892
	0.5	0.9886
k	0.2	0.9865
	0.3	0.9927
	0.4	0.9956
	0.5	0.9846

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围压变化作用下基于水力开度变化的单裂隙渗流特性研究

Study on Seepage Mechanism Characteristics of A Single Fracture Based on Fracture Deformation Under Different Confining Pressures

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