本研究以線性化之Boussinesq方程式之解析解探討傾斜滲漏含水層之地下水位的變化情形。考慮地表降雨穩定補注,利用變數轉換將控制方程式變換成熱傳方程式求出解析解,線性化的過程出現一個線性化參數,本研究考慮三個與線性化因子相關的參數,利用線性迴歸的方法求出最佳線性化因子。本研究之解析解以數值法作為比較的工具,結果與數值解十分吻合。
The water table fluctuation on an inclined leaky layer is predicted by obtaining an analytical solution of the linearized Boussinesq equation. Consider with the surface recharge is constant and use variation of parameters to transform the governing equation to the heat equation. This study consider three parameters be related and use linear regression analysis method to find the optimum linear factor. The results of analytical solution was used to compare with the numerical method.