摘要
针对几乎奇异积分阻碍了边界元法准确计算近坝基面基内点的渗流参量的问题,首先给出了多种正交各向异性介质渗流问题边界元法基本方程,然后引入一种正则化算法,化解了边界元法计算近坝基面基内点的渗流参量时遇到的几乎奇异积分障碍,获得了近坝基面基内点的渗透压力和水力梯度值.算例表明该方法较常规方法能计算距坝基面更近的内点的渗流参量.
A multi-domain boundary element method was proposed for the seepage analysis in dam foundation. The dam foundation was regarded as a multilateral porous medium possessing the zoned orthotropic hydraulic conductivity in the formulation. It is the nearly singular integral in the boundary element method that deters the accurate calculating of the seepage parameters at points very close to the dam base. A regularization algorithm was raised to deal with the nearly singular integrals in the boundary integral equations. The seepage parameters at interior points very close to the boundary could be calculated successfully. Numerical examples demonstrate that the presented method can analyze the seepage field at interior points much closer to the boundary in comparison with the conventional boundary element method.
基金
国家自然科学基金(10272039)
安徽省自然科学基金(050440503)资助
关键词
边界元法
几乎奇异积分
正交各向异性
渗流场
boundary element method
nearly singular integral
orthotropic
seepage flow field
