裂隙岩体渗透张量的特征值扰动分析  

Perturbation analysis of the permeability tensor eigenvalue of fractured rocks

作　　者：周志芳[1] 庄超[1] 

机构地区：[1]河海大学地球科学与工程学院,江苏南京210098

出　　处：《水利学报》2015年第5期536-542,共7页Journal of Hydraulic Engineering

基　　金：国家自然科学基金资助项目(41172204)

摘　　要：裂隙岩体渗透张量是基岩地区地下水研究中非常重要的水文地质参数。基于裂隙岩体渗透张量的基本表达式和矩阵特征值扰动理论,以青岛黄岛地下洞库现场试验成果为例,在查明了岩体中裂隙的空间产状、位置基础上,建立了裂隙渗透性与岩体整体渗透张量之间的定量关系,分析了单条裂隙和单组裂隙渗透张量特征值的扰动问题,提出了优势裂隙渗透性对岩体整体渗透张量贡献的评价方法。研究结果表明,并非岩体中发育的裂隙对渗流都具有均等的作用,而只有优势裂隙组中的优势裂隙在裂隙渗流问题中占主导地位。这些成果对于基岩地区地下水资源开发和评价、地下水污染预测和控制、地下工程渗流计算和控制都具有重要的意义。The permeability tensor of fractured rocks is a very important hydrogeological parameter. In this paper, the spatial occurrence and location of the fracture in rocks were investigated by an in-situ slug test performed in underground cave of Huangdao, China. The quantitative relationship between fracture permeabil- ity and fractured rock permeability tensor was established based on the perturbation theory of matrix eigen- value and the basic expression of permeability tensor of fractured rocks. A new method was developed to es- timate the contribution of preferential fracture permeability for the permeability tensor of fractured rocks through analyzing the perturbation problem of both single and single group of fracture permeability. The re- suits show that there are different influences of the fractures in rocks on the seepage in the fracture, how- ever, only the preferential fracture in the preferential fracture group plays a dominant role for the seepage. Those results are extremely significant to the assessment and development of groundwater resources, the pre- diction and control of the groundwater contamination, and the calculation and control of the underground construction leakage in the fractured rocks area.

关 键 词：渗透张量 裂隙岩体 矩阵特征值 扰动 

分 类 号：TV221.2[水利工程—水工结构工程]