低裂隙密度条件下三维裂隙岩体的有效渗透性

何忱; 姚池; 邵玉龙; 黄帆; 周创兵

doi:10.16511/j.cnki.qhdxxb.2021.25.014

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清华大学学报（自然科学版） ›› 2021, Vol. 61 ›› Issue (8) : 827-832. DOI: 10.16511/j.cnki.qhdxxb.2021.25.014

数值模拟

低裂隙密度条件下三维裂隙岩体的有效渗透性

何忱, 姚池, 邵玉龙, 黄帆, 周创兵

作者信息 +

Effective permeability of three-dimensional fractured rock with low fracture densities

HE Chen, YAO Chi, SHAO Yulong, HUANG Fan, ZHOU Chuangbing

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文章历史 +

摘要

裂隙岩体的渗透性是许多地下工程的重要参数之一。低裂隙密度下岩体渗透性特征与目前广泛研究的高裂隙密度显著不同，并且具有强烈的不确定性。该文首先提出了一种裂隙多孔介质渗流数值方法，该方法建立在等效离散裂隙网络模型之上，采用二维三角形单元网络等效描述三维岩体的孔隙基质和裂隙，推导了等效单元导水系数的解析表达式。该方法自然考虑了裂隙与基质之间的流量交换，且无需添加额外的参数。随后，对不同裂隙密度、不同研究尺度的裂隙岩体渗透性进行了Monte-Carlo模拟。结果表明：裂隙网络是否贯通研究区域对有效渗透性影响巨大；裂隙岩体的有效渗透性在低密度区间内存在独有的尺度效应；将岩体的渗透性依据网络是否贯通分类后，两类渗透性平均值依据样本尺度呈现规律变化，该规律能够用帮组建立不同尺度下岩体有效渗透性之间的关系。

Abstract

The permeability of fractured rock is an important parameter in many underground projects, but the permeability characteristics are normally not well known and differ significantly from the effective permeability of rocks with high fracture densities that have been widely studied in previous research. This paper presents a numerical method to model the flows in three-dimensional fractured porous media based on the equivalent discrete fracture network model. This method uses two-dimensional triangular elements to simulate the flows in the fractures and the permeable matrix in the rock which predicts the fluid exchange between the fractures and the matrix. The results are used to derive an analytical expression for the conductivity coefficient of the equivalent element. Then, the Monte-Carlo method is used to analyze the permeability of fractured rock with various fracture densities and scales. The results show that the presence of a fracture network in the study area greatly influences the effective permeability and that the effective permeability of fractured rock has a unique scale effect for low fracture densities. After classifying the effective permeabilities with and without fracture networks in the domain, the average effective permeabilities for the two types show regular variations depending on the scale of the domain. This rule can be used to establish a relationship between the effective permeability of various size rock masses.

导出引用

何忱, 姚池, 邵玉龙, 黄帆, 周创兵. 低裂隙密度条件下三维裂隙岩体的有效渗透性[J]. 清华大学学报（自然科学版）. 2021, 61(8): 827-832 https://doi.org/10.16511/j.cnki.qhdxxb.2021.25.014

HE Chen, YAO Chi, SHAO Yulong, HUANG Fan, ZHOU Chuangbing. Effective permeability of three-dimensional fractured rock with low fracture densities[J]. Journal of Tsinghua University(Science and Technology). 2021, 61(8): 827-832 https://doi.org/10.16511/j.cnki.qhdxxb.2021.25.014

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基金

姚池,教授,E-mail:chi.yao@ncu.edu.cn

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收稿日期	出版日期
2021-01-20	2021-08-15
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2021-07-14

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