各向异性含水层水文地质参数的简化解析法

A simplified analytical method of hydrogeological parameters in anisotropic aquifer

针对各向异性含水层水文地质参数求解涉及多未知数超越方程,常规的解析法无法直接获解而现有的标准曲线比对法、直线图解法及改进直线解析法存在人为误差、适用范围受限或计算过程繁复等问题,采用优化拟合方法,在工程适用参数范围内,采用形式简单的函数替代用级数表示的井函数,并利用降深比值关系,在3个观测孔的水位降深曲线上选取6个点,经整理获得了可直接完成参数求解的简化计算公式,求解过程简捷直观,便于实际工程应用。精度分析表明,在工程适用参数范围内,该公式最大误差小于2%,满足实际工程的计算精度要求。

This study focuses on the transcendental equation with multiple unknowns for determining hydrogeological parameters in an anisotropic aquifer that cannot be directly determined through the conventional analytical methods. The existing methods for solving the equations, including the standard curve comparison method, linear graphic method, and improved linear analytical method, encounter many personal errors, a restricted application scope, and a burdensome and complicated computational process. In this study, adopting the optimum fitting method, a calculation formula for directly determining parameters was constructed using a simple function replacing the well function with a series expansion within the range of engineering adaptive parameters and a drawdown ratio relationship obtained through six selected points on the drawdown curves in three observation holes. The solution of the calculation formula is simple, intuitive, and easy to use. Precision analysis indicates that the maximum error is less than 2% across the range of engineering adaptive parameters, fully meeting the requirements of actual engineering calculation precision.