應用邊界積分法於地表變位反算邊坡潛在滑動面初探

邊坡滑動是大地工程領域中常見的問題，為了評估邊坡活動性並避免遽變式滑動造成重大災害，邊坡監測如設置傾斜管，量測地層位移提供預警與防治依據為常見的方式，然僅限於點位的資料。由於測繪技術的進步，可以透過無人機UAV、空載光達LiDAR、InSAR等方式來獲取邊坡地表面的位移；相較傳統的監測，運用測繪的技術可以更方便、快速得到完整且全面的位移資料，為了使得到的位移資料能夠善盡其用，本研究探討利用地表量測到的變位，評估邊坡潛在可能的滑動面。本研究使用邊界積分法計算二維邊坡之邊界值問題，並以彈性力學Kelvin基本解作為影響函數，建立邊界的積分方程式，利用數值軟體ABAQUS模擬邊坡滑動時之位移及曳引力邊界條件，代入計算邊坡內部應力及位移的分布情況，反算邊坡滑動面發生的位置，最後，將分析結果與其他數值方法如極限平衡法、有限元素法比較。

關鍵字

邊坡；位移；潛在滑動面；邊界積分法；邊界值問題

並列摘要

Slope sliding is a common problem in geotechnical engineering. For evaluating the mobility of the slope and avoid disasters caused by transformer sliding, the slope monitoring such as the clinometer is set to provide a common way of warning and prevention in the measurement of the ground displacement. However, it’s limited to the point data. Due to the advancement of surveying and mapping technology, the ground displacement data can be obtained through UAV, LiDAR, InSAR and so on. Compared to traditional monitoring, the use of surveying and mapping technology can more easily and quickly obtain the complete and comprehensive displacement data. In order to make best use of the displacement data, the research explores to estimate the potential sliding surface position of the slope by monitoring the ground surface displacement. The research applies the boundary integral method to calculate the boundary value problem of the 2-D slope, and uses the elastic fundamental Kelvin solution as the influence function to establish the boundary equation formula. Finally, the results of the distribution of the internal stress and displacement of the slope are compared with other numerical methods such as limit equilibrium method, finite element method.