頁籤選單縮合
題 名 | 拉普拉斯轉換有限差分法應用於地層下陷之探討=Investigation on the Application of the Laplace Transform Finite Difference Method in Land Subsidence |
---|---|
作 者 | 施清吉; | 書刊名 | 農業工程學報 |
卷 期 | 49:4 2003.12[民92.12] |
頁 次 | 頁44-52 |
分類號 | 443.67 |
關鍵詞 | 地層下陷; 拉普拉斯轉換與反轉換; 有限差分法; Land subsidence; Laplace transform and inverse transform; Finite difference scheme; |
語 文 | 中文(Chinese) |
中文摘要 | 假設地層下陷僅來自動力方向之壓密,地下水流動也只限制於水平面,則自受壓飽和含水層抽取地下水而導致之地層下陷,其控制方程式為擴散方程式且含—「源」。利用拉普拉斯轉換有限差分法求其數值解,並與簡易近似解比較,後者係由控制方程式之分析解構建而得。探討之範圍為無因次時間□介於□至□。在此範圍內,拉普拉斯反轉換(Stehfest法)之系列值個數為K為12。採用拋物線型遞增方式,非均勻格點之最小間距約為0.8,格點總數隨著□值的增加而遞增,大致介於100與8000之間。 |
英文摘要 | Based upon that the land subsidence due to an overdraft of groundwater from a confined saturated aquifer is strictly resulted fro a vertical settlement and the groundwater flow is also restricted in a horizontal plane, the governing equation is of a diffusion type with a source. The method of the Laplace Transform Finite difference scheme is utilized to obtain numerical solutions, which are compared with the simple approximate solution as constructed from the analytical solution of the governing differential equation. The range of the dimensionless time □ investigated is from □ to □. In this range, the number of the sequence values generated in the Laplace space K for the given □ is 12 as found in this study. This minimum step size is about 0.8 for the non-uniform grid points with the step size increases accordingly to the parabolic type, while the total number of the grid points, ranging from 100 to 8000, is increasing with the value of □. |
本系統中英文摘要資訊取自各篇刊載內容。