圆形坑道各向异性稳定渗流的一个解析解  

Analytic Solution for Anisotropic Steady Seepage into a Circle-crossed Tunnel

作　　者：杨志锡[1] 杨林德[1] 

机构地区：[1]同济大学地下建筑与工程系,上海200092

出　　处：《同济大学学报（自然科学版）》2001年第3期273-277,共5页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金!资助项目 (5 98780 38)

摘　　要：针对层状分布土体中的坑道渗流 ,建立一个均质、各向异性稳定渗流的数学模型 ;采用坐标变换法 ,推出等效潜水层中圆形断面水平坑道二维稳定渗流场的流量、水头及流函数公式 ;定义 ξ为渗透系数各向异性率 ,以表达含水层在各渗透主轴方向上渗透性的差别 .量纲为 1化算例证明了该解析解的正确性 .A mathematical model on the steady flow in homogeneous anisotripic media is founded according to seepage flow into a tunnel in layered distribution soils. The hydraulic head and stream function in the seepage field, as well as the discharge, are derived for two dimensional, steady seepage flow into a circle crossed horizontal tunnel in an equivalent phreatic aquifer. ξ is defined as specific anisotropy of hydraulic conductivity, which expresses the difference of permeability at the directions of principal axes. A dimensionless example illustrates its correctness of the analytic solutions.

关 键 词：稳定渗流场 地下水 各向异性介质 圆形坑道 渗透系数 各向异性率 坐标 变换法 

分 类 号：P641.2[天文地球—地质矿产勘探]