基于MIC的非吻合裂隙等效水力开度的表征模型  

Characterization model for the equivalent hydraulic aperture of a nonmatching fracture based on the MIC

作　　者：朱悦 梁烨[1] 孙自豪[1,2] 王亮清 范斌强[3] 姚浔万 ZHU Yue;LIANG Ye;SUN Zihao;WANG Liangqing;FAN Binqiang;YAO Xunwan(Faculty of Engineering,China University of Geosciences(Wuhan),Wuhan 430074,China;Badong National Observation and Research Station of Geohazards,China University of Geosciences(Wuhan),Wuhan 430074,China;School of Civil and Transportation Engineering,Ningbo University of Technology,Ningbo Zhejiang 315211,China)

机构地区：[1]中国地质大学(武汉)工程学院,武汉430074 [2]中国地质大学(武汉)湖北巴东地质灾害国家野外科学观测研究站,武汉430074 [3]宁波工程学院建筑与交通工程学院,浙江宁波315211

出　　处：《地质科技通报》2025年第1期150-163,共14页Bulletin of Geological Science and Technology

基　　金：国家自然科学基金项目(42202316,41931295);中国博士后科学基金项目(2022M712963);湖北巴东地质灾害国家野外科学观测研究站开放基金项目(BNORSG202309)。

摘　　要：等效水力开度可以定量表征粗糙裂隙在达西流态下的导流能力,等效水力开度的精准预测对很多实际应用工程具有重要的意义。粗糙裂隙的等效水力开度受控于复杂的壁面形貌和开度分布等几何特征,综合考虑裂隙几何信息,通过最大互信息系数(MIC)的方法确定了等效水力开度的主控因子,并基于主控因子建立了粗糙裂隙等效水力开度的表征模型。首先,基于Barton 10条标准曲线构造了900组非吻合粗糙裂隙,通过壁面几何信息得到13个几何参数并采用数值模拟获取了所有裂隙的等效水力开度试验值,然后,采用最大互信息系数方法分析了等效水力开度与13个几何参数之间的相关性,共确定了4个主控因子,并基于主控因子建立了粗糙裂隙等效水力开度的表征模型。基于900个粗糙裂隙数据,选取已有的2个等效水力开度表征模型进行了对比分析。分析结果显示本研究提出的水力开度预测模型具有更好的表征性能。最后,研究了尺寸效应对建立等效水力开度表征模型的影响,并讨论了将该模型推广至三维裂隙的方法。Equivalent hydraulic aperture can quantitatively characterize hydraulic conductivity in rough fractures under Darcy flow conditions,making significance for various engineering applications.[Objective]The equivalent hydraulic aperture of rough fractures is influenced by complex geometric features such as wall topography and aperture distribution.This study comprehensively considers fracture geometry,applies the maximal information coefficient(MIC)method to identify key factors influencing equivalent hydraulic aperture,and develops a characterization model based on it.[Methods]900 sets of nonmatching rough fractures were generated through Barton's 10 standard curves.Geometric information from fracture walls provided 13 parameters,and numerical simulations were used to obtain the equivalent hydraulic apertures.MIC considers the correlations between equivalent hydraulic aperture and 13 geometric parameters.[Results]Four key factors were identified to form the basis of a characterization model for the equivalent hydraulic aperture of rough fractures.[Conclusion]900 rough fracture datasets validated the model's performance against two existing models,with the proposed model being more advanced than the current representations.The study also discussed the impact of size effects on hydraulic aperture models and the application for three-dimensional cases.

关 键 词：粗糙裂隙 等效水力开度 壁面形貌 裂隙开度 最大互信息系数(MIC) 

分 类 号：TU45[建筑科学—岩土工程]