由於地質的複雜性和同一空間中材料的變異性以及可用鑽探資料的有限性，一個鑽孔樣本難以代表準確的地下空間特徵，從而導致地質與材料不確定性。工程或學術界利用數值分析軟體作為探討邊坡穩定性的工具已行之有年，然而顯少有針對地質與材料不確定性對於邊坡穩定性之影響的討論。本研究以有限差分法軟體FLAC/SLOPE建立隨機場模型探討地質與材料不確定性對於邊坡穩定性之影響，結果顯示若考量材料不確定性對邊坡安全係數約會產生5%的影響。同時可結合反算分析依據傾度管測得之位移等有限的資訊推估邊坡最為可能的地質與材料分布。或可由塑性區之發展推估漸進式破壞發生時依序的滑動區域。
近年來邊坡穩定分析多被視為需要最佳化的課題，本研究應用水母啟發式優化演算法針對台灣地區的岩石區域參數進行反算分析評估隨機場狀態下的臨界破壞面發展。結果表明過往將整體邊坡視為均質的情況進行分析所得之破壞面會過於樂觀，低估破壞時的影響範圍。基於以上對於隨機場分析的應用，無論是安全係數或滑動面位置的結果皆或可降低相關工程、地質災害的分析與評估時的風險。因此，相較過往使用均質的確定性地質模型來進行穩定性分析，本研究改以地質與材料不確定性方法進行更全面性的探討。

Due to the complexity of the geology and the variability of materials in the same space and the limited availability of geologic drilling data, a single borehole sample can hardly represent an accurate underground space feature, thus leading to geological and material uncertainty. Numerical analysis has been used to investigate slope stability for many years in engineering and academia, but there isn’t has many discussions on slope stability assessment considering geological and material uncertainties. In this study, a random-field model was developed using the finite-difference software FLAC/SLOPE to investigate the effect of geological and material uncertainties on slope stability, the results show that if material uncertainty is considered in slope, it will have an impact of about 5% on Factor of Safety. It can also be combined with back analysis technique to estimate the most likely geological and material distribution of the slope based on limited information such as the displacement of inclinometer. Or used the development of the plastic zone to estimate the sliding area that in sequence, when progressive failure occurs.
In recent years, slope stability analysis has been considered as a topic requiring optimization. In this study, we applied the Jellyfish Search algorithm to evaluate the development of critical failure surface under random field conditions by back analysis which considered rock parameters in Taiwan area. The results shows that the influence area during failure will be too optimistic and underestimates, compare to homogeneous slope in previous study. Based on the application of the random field above, the results of both Factor of Safety and failure surface may reduce the risk in the analysis and evaluation of related engineering and geological hazards. Therefore, instead of using a homogeneous deterministic geological model for stability analysis, this study uses a geological and material uncertainty approach for a more comprehensive investigate.

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