边界元插值法在含水层参数连续性问题中的应用

对于含水层参数连续性问题,传统的参数分区法会带来较大的计算误差,且其计算过程也较为繁琐。本文提出了一种新算法——边界元插值法,即在区域内对含水层压力传导系数采用二维反距离加权插值法、边界元上采用一维线性插值法,推导出边界积分方程的解析解,从而在整个区域上达到参数的连续性和可微性。将该方法与传统的有限差分法和边界元分区法同时应用于华北平原衡水试验场。计算结果表明:边界元插值法的计算结果与观测值的拟合误差在±3%以内,其精确度要略高于传统的边界元分区法和有限差分法,且计算过程较为简单。边界元插值法基本能够有效地处理含水层参数的连续性问题。

Application of boundary element method to parameter continuity of aquifer

The tradition divisional parameters method was used to deal continuity problem of aquifer parameter,which would lead to bigger calculation errors and complex calculation process.This paper proposed a new method-boundary element interpolation method,the conductivity of the aquifer pressure coefficient was interpolated by two dimension anti-distance weight method,and then one dimension liner interpolate method was employed to deal with boundary element.Analytical solution was derived,the consistent and calcul...