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研究生: 廖彥鈞
Liao, Yan-Jyun
論文名稱: 以擬真三維地質模型探討降雨入滲對未飽和邊坡穩定之影響
Application of the 3D Stratigraphic Simulation on Slope Stability Analysis with Rainfall
指導教授: 陳昭旭
Chen, Chao-Shi
學位類別: 碩士
Master
系所名稱: 工學院 - 資源工程學系
Department of Resources Engineering
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 123
中文關鍵詞: 擬真三維地質模型降雨入滲未飽和邊坡穩定分析FLAC3D
外文關鍵詞: Realistic 3D Geological Model, Rainfall Infiltration, Unsaturated Slope Stability Analysis, FLAC3D
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  • 近年來受極端氣候影響,降雨誘發之山區邊坡失穩與滑動災害日趨頻繁,本研究以嘉義縣大埔鄉台3線351K+700處公路邊坡為研究對象,整合現地調查、數值模擬與儀器監測資料,探討降雨入滲對研究區域邊坡穩定性之影響。
    本研究蒐集研究區數值地形模型(DEM)、地質鑽探、地下水位、降雨紀錄及傾斜觀測管等資料,利用Groundwater Modeling System(GMS)軟體建立擬真三維地質模型及地下水位面,並匯入Fast Lagrangian Analysis of Continua in Three Dimensions(FLAC3D)數值分析軟體,模擬不同降雨條件下之未飽和土壤入滲行為。透過飽和度、安全係數、最大剪應變增量及位移分布等結果,評估降雨對邊坡穩定性之影響,並配合傾斜觀測管監測成果進行模型驗證。
    依據研究區地形特徵及現地調查成果,可判釋出S-1、S-2、N及L四個潛勢塊體。數值模擬結果顯示,隨日累積降雨量逐漸增加,坡體飽和度提高且基質吸力降低,使邊坡安全係數下降。本研究依研究區最低安全係數與降雨量之關係推估,當其降至臨界值1.0時,對應之日累積降雨量約為430 mm。
    滑動面分析主要針對監測資料較完整之S-1與S-2潛勢塊體進行探討,前者主要呈現淺層滑動特徵,其潛在滑動面深度約為10–15公尺;後者則具有淺層及較深層滑動型態,其潛在滑動面深度分別約為10–12公尺及20–25公尺。本研究數值模型推估之潛在滑動深度,與傾斜觀測管監測成果大致相符,顯示本研究模型具有一定合理性。
    綜合研究成果顯示,降雨入滲會使邊坡穩定性降低並增加潛在滑動風險。本研究透過擬真三維地質模型,可有效瞭解降雨入滲對邊坡穩定性之影響,並將數值模擬成果作為邊坡災害評估與防治規劃之參考。

    This investigation evaluates the impact of rainfall infiltration on slope stability along Provincial Highway No. 3 in Chiayi County, Taiwan. A realistic three-dimensional (3D) geological model was constructed from topographic, borehole, groundwater, and inclinometer data and imported into FLAC3D for numerical simulations.
    The assessment examines four cumulative rainfall scenarios (80, 200, 350, and 500 mm) under a 24-hour uniform rainfall pattern. The numerical results reveal that higher rainfall infiltration elevates slope saturation, diminishes matric suction, and reduces the factor of safety. Based on topographic characteristics and field investigations, four potential blocks (S-1, S-2, N, and L) were identified. Notably, the factor of safety drops to the critical value (FOS = 1.0) when daily cumulative rainfall reaches approximately 430 mm.
    Sliding surface analysis mainly focused on the S-1 and S-2 potential blocks due to more complete monitoring data. The former exhibits a shallow sliding surface at a depth of approximately 10–15 m, whereas the latter contains both shallow and relatively deep-seated sliding surfaces at depths of approximately 10–12 m and 20–25 m, respectively. The simulated sliding locations are consistent with inclinometer observations, demonstrating the reliability of the proposed numerical model.

    摘要 i 誌謝 viii 目錄 ix 表目錄 xiii 圖目錄 xiv 第一章 緒論 1 1.1 研究動機 1 1.2 研究目的 2 1.3 研究流程 3 第二章 文獻回顧 5 2.1 邊坡崩塌與破壞機制 5 2.1.1 邊坡崩塌型態分類 5 2.1.2 淺層與深層崩塌特性 7 2.1.3 邊坡破壞行為與演化機制 9 2.1.4 邊坡穩定之安全標準規範 10 2.2 未飽和土壤理論 11 2.2.1 未飽和土壤基本組成 11 2.2.2 土壤水分特性曲線 12 2.2.3 基質吸力與有效應力 16 2.2.4 未飽和土壤力學行為 18 2.3 降雨入滲對邊坡穩定性影響 20 2.3.1 降雨入滲歷程 20 2.3.2 降雨誘發邊坡失穩機制 21 2.4 邊坡穩定分析與數值模擬 23 2.4.1 邊坡穩定分析方法 23 2.4.2 剪力強度折減法 25 2.4.3 二維與三維邊坡穩定分析 27 2.5 小結 29 第三章 研究區域概況 30 3.1 研究區域介紹 30 3.2 地質分布與地層條件 32 3.3 區域災害潛勢與歷史災害 33 3.4 潛在滑動塊體與現地勘查 36 3.5 地質鑽探與監測紀錄 39 3.5.1 鑽探分析結果 40 3.5.2 傾斜觀測管監測紀錄 41 3.5.3 地下水監測紀錄 50 第四章 研究方法 54 4.1 三維地質模型建置 54 4.1.1 地形資料處理 55 4.1.2 地層模型建立 56 4.1.3 地下水位面設置 57 4.1.4 三維網格格式轉換 58 4.2 地層參數 60 4.2.1 力學參數設定 60 4.2.2 土壤保水曲線參數設定 61 4.3 FLAC3D數值分析方法 63 4.3.1 分析流程 63 4.3.2 本構模型 64 4.3.3 力學控制方程 65 4.3.4 模型初始應力平衡 68 4.4 降雨入滲與地下水滲流分析 69 4.4.1 未飽和滲流理論與程式架構 69 4.4.2 初始滲流場建立 73 4.4.3 水力邊界條件設定 75 4.4.4 降雨條件設定 76 4.5 邊坡安全係數分析 78 4.5.1 剪力強度折減法 78 4.5.2 安全係數計算流程 79 第五章 結果與討論 80 5.1 常時邊坡穩定性 81 5.1.1 常時飽和度分布 81 5.1.2 常時安全係數分布 82 5.2 降雨入滲對邊坡穩定性之影響 83 5.2.1 飽和度分布變化 83 5.2.2 安全係數分布變化 86 5.2.3 滑動面分析 89 第六章 結論與建議 95 6.1 結論 95 6.2 建議 96 參考文獻 97

    1. Aleotti, P., “A warning system for rainfall-induced shallow failures.” Engineering Geology, 73(3), pp.247–265, 2004.
    2.Bishop, A. W., “The use of the Slip Circle in the Stability Analysis of Slopes.” Géotechnique, 5(1), pp.7–17, 1955.
    3.Bishop, A. W., “The Principle of Effective Stress.” Teknisk Ukeblad, 39, pp.859–863, 1959.
    4.Brooks, R., & Corey, A., “Hydraulic Properties of Porous media.” Hydrology Paper, 3, 1964.
    5.Cruden, D. M., & Varnes, D. J., “Landslide Types and Processes, Transportation Research Board, U.S. National Academy of Sciences, Special Report.” Special Report - National Research Council, Transportation Research Board, 247, pp.36–57, 1996.
    6.Darcy, H., “Les fontaines publiques de la ville de Dijon: Exposition et application des principes à suivre et des formules à employer dans les questions de distribution d'eau : Ouvrage terminé par un appendice relatif aux fournitures d'eau de plusieurs villes, au filtrage des eaux et à la fabrication des tuyaux de fonte, de plomb, de tôle et de bitume.” Victor Dalmont, 2, 1856.
    7.Dawson, E. M., Roth, W. H., & Drescher, A., “Slope stability analysis by strength reduction.” Géotechnique, 49(6), pp.835–840, 1999.
    8.Dey, R., Hawlader, B., Phillips, R., & Soga, K., “Progressive failure of slopes with sensitive clay layers.” Proceedings of the 18th international conference on soil mechanics and geotechnical engineering, Paris, pp.2177–2180, 2013.
    9.Duncan, J. M., “State of the art: limit equilibrium and finite-element analysis of slopes.” Journal of Geotechnical engineering, 122(7), pp.577–596, 1996.
    10.Fellenius, W., “Erdstatische Berechnungen mit Reibung und Kohäsion (Adhäsion) und unter Annahme kreiszylindrischer Gleitflächen.” W. Ernst & Sohn, 1927.
    11.Fellenius, W., “Calculation of stability of earth dam.” Transactions of the 2nd Congress on Large Dams, 4, pp.445–462, 1936.
    12.Fredlund, D., “An introduction to unsaturated soil mechanics.” Unsaturated Soil Engineering Practice, 1, pp.1–37, 1997.
    13.Fredlund, D., Morgenstern, N. R., & Widger, R., “The shear strength of unsaturated soils.” Canadian Geotechnical Journal, 15(3), pp.313–321, 1978.
    14.Fredlund, D., & Rahardjo, H., “Soil Mechanics for Unsaturated Soils.” John Wiley & Sons, 1993.
    15.Fredlund, D., & Xing, A., “Equations for the Soil–Water Characteristic Curve.” Canadian Geotechnical Journal, 31, pp.521–532, 1994.
    16.Fredlund, D. G., & Morgenstern, N. R., “Stress state variables for unsaturated soils.” Journal of the geotechnical engineering division, 103(5), pp.447–466, 1977.
    17.Gardner, W., “Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table.” Soil science, 85(4), pp.228–232, 1958.
    18.Griffiths, D., & Lane, P., “Slope stability analysis by finite elements.” Géotechnique, 49(3), pp.387–403, 1999.
    19.Hammah, R., Yacoub, T., Corkum, B., & Curran, J., “The shear strength reduction method for the generalized Hoek-Brown criterion.” ARMA US Rock Mechanics/Geomechanics Symposium, pp.ARMA–05–810, 2005.
    20.Hillel, D., “Environmental soil physics.” Academic Press, 1998.
    21.Hungr, O., Leroueil, S., & Picarelli, L., “The Varnes classification of landslide types, an update.” Landslides, 11(2), pp.167–194, 2014.
    22.Itasca, “FLAC3D — Fast Lagrangian Analysis of Continua in Three-Dimensions, User's Guide (Ver. 6.0).”, pp.405, 2017.
    23.Iverson, R. M., “Landslide triggering by rain infiltration.” Water Resources Research, 36(7), pp.1897–1910, 2000.
    24.Janbu, N., “Application of composite slip surfaces for stability analysis.” Proceedings of the European Conference on Stability of Earth Slopes, pp.43–49, 1954.
    25.Jin, Y.-F., Yin, Z.-Y., & Yuan, W.-H., “Simulating retrogressive slope failure using two different smoothed particle finite element methods: A comparative study.” Engineering Geology, 279, pp.105870, 2020.
    26.Kassem, M., & Zekkos, D., “Assessing rainfall-induced landslide failure mechanisms in regional hydrological and hillslope stability simulations.” Landslides, 23(4), pp.933–952, 2026.
    27.Leroueil, S., “Natural slopes and cuts: movement and failure mechanisms.” Géotechnique, 51(3), pp.197–243, 2001.
    28.Likos, W. J., & Lu, N., “Hysteresis of capillary stress in unsaturated granular soil.” Journal of Engineering Mechanics, 130(6), pp.646–655, 2004.
    29.Lu, N., “Unsaturated Soil Mechanics: Fundamental Challenges, Breakthroughs, and Opportunities.” Journal of Geotechnical and Geoenvironmental Engineering, 146(5), 02520001, 2020.
    30.Lu, N., & Likos, W., “Rate of capillary rise in soil.” Journal of Geotechnical and Geoenvironmental Engineering, 130(6), pp.646–650, 2004.
    31.Malone, A., “Slope movement and failure: evidence from field observations of landslides associated with hillside cuttings in saprolites in Hong Kong.” Proceedings 13th Southeast Asian Geotechnical Conference, Taipei, 2, pp.81–90, 1998.
    32.Matsui, T., & San, K.-C., “Finite Element Slope Stability Analysis by Shear Strength Reduction Technique.” Soils and Foundations, 32(1), pp.59–70, 1992.
    33.McQuillan, A., & Bar, N., “The necessity of 3D analysis for open-pit rock slope stability studies: Theory and practice.” Journal of the Southern African Institute of Mining and Metallurgy, 123, pp.63–69, 2023.
    34.Morgenstern, N. R., & Price, V. E., “The Analysis of the Stability of General Slip Surfaces.” Géotechnique, 15(1), pp.79–93, 1965.
    35.Ng, C., & Shi, Q., “Influence of rainfall intensity and duration on slope stability in unsaturated soils.” Quarterly Journal of Engineering Geology and Hydrogeology, 31(2), pp.105–113, 1998.
    36.Ng, C. W., Wang, B., & Tung, Y.-K., “Three-dimensional numerical investigations of groundwater responses in an unsaturated slope subjected to various rainfall patterns.” Canadian Geotechnical Journal, 38(5), pp.1049–1062, 2001.
    37.Pánek, T., & Klimeš, J., “Temporal behavior of deep-seated gravitational slope deformations: A review.” Earth-Science Reviews, 156, pp.14–38, 2016.
    38.Philip, J., “The theory of infiltration: 1. The infiltration equation and its solution.” Soil science, 83(5), pp.345–358, 1957.
    39.Popescu, M. E., “Landslide causal factors and landslide remedial options.” Proceedings of the 3rd International Conference on Landslides, Slope Stability and Safety of Infrastructures, pp.61–81, 2002.
    40.Pyke, R., “The Difference Between 2D and 3D Slope Stability Analyses.” TAGAsoft Geotechnical Technical Report, 4(1), pp.1–15, 2014.
    41.Rahardjo, H., Ong, T., Rezaur, R., & Leong, E. C., “Factors controlling instability of homogeneous soil slopes under rainfall.” Journal of Geotechnical and Geoenvironmental Engineering, 133(12), pp.1532–1543, 2007.
    42.Rosenzweig, C., & Hillel, D., “Climate change and the global harvest: potential impacts of the greenhouse effect on agriculture.” Oxford University Press, 1998.
    43.Terzaghi, K., “Stress distribution in dry and in saturated sand above a yielding trap-door.” Proceedings of the 3rd International Conference on Soil Mechanics and Foundation Engineering, 1, pp.44–48, 1936.
    44.Tsai, T.-L., & Yang, J.-C., “Modeling of rainfall-triggered shallow landslide.” Environmental Geology, 50(4), pp.525–534, 2006.
    45.Van Genuchten, M. T., “A closed‐form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Science Society of America Journal, 44(5), pp.892–898, 1980.
    46.Vanapalli, S., Fredlund, D., Pufahl, D., & Clifton, A., “Model for the prediction of shear strength with respect to soil suction.” Canadian Geotechnical Journal, 33(3), pp.379–392, 1996.
    47.Vanapalli, S. K., Fredlund, D. G., & Pufahl, D. E., “The influence of soil structure and stress history on the soil–water characteristics of a compacted till.” Géotechnique, 49(2), pp.143–159, 1999.
    48.Varnes, D. J., “Slope movement types and processes.” Special Report, 176, pp.11-33, 1978.
    49.Vereecken, H., Weihermüller, L., Assouline, S., Šimůnek, J., Verhoef, A., Herbst, M., Archer, N., Mohanty, B., Montzka, C., & Vanderborght, J., “Infiltration from the pedon to global grid scales: An overview and outlook for land surface modeling.” Vadose Zone Journal, 18(1), pp.1–53, 2019.
    50.Wang, B., Vardon, P. J., & Hicks, M. A., “Investigation of retrogressive and progressive slope failure mechanisms using the material point method.” Computers and Geotechnics, 78, pp.88–98, 2016.
    51.Zienkiewicz, O. C., Humpheson, C., & Lewis, R. W., “Associated and non-associated visco-plasticity and plasticity in soil mechanics.” Géotechnique, 25(4), pp.671–689, 1975.
    52.內政部國土管理署,「台灣省重要都會區環境地質資料庫建立計畫:玉井地區環境地質」,台灣省重要都會區環境地質資料庫,2010。
    53.何信昌、謝凱旋、高銘健、陳華玟,「五萬分之一臺灣地質圖幅暨說明書:新化(圖幅第五十號)」,經濟部中央地質調查所,2005。
    54.吳育豪,「考慮真實地震對三維邊坡穩定分析之研究-以萬山D048大規模崩塌潛勢區為例」,國立成功大學資源工程學系碩士論文,2023。
    55.吳佳蓁,「利用擬真三維地質模型探討降雨與地震對南172線溫泉公路邊坡影響之研究」,國立成功大學資源工程學系碩士論文,162頁,2025。
    56.沈岡陵、葉信富、李振誥,「氣候變異引致降雨強度改變下未飽和邊坡信賴度之評估」,鑛冶:中國鑛冶工程學會會刊,第57卷第1期,38–51頁,2013。
    57.周天翊,「地震誘發邊坡崩塌位移二維分析」,國立臺灣大學土木工程學系碩士論文,158頁,2022。
    58.范嘉程、馮道偉,「以有限元素法探討暴雨時邊坡之穩定分析」,地工技術,第95卷第5期,61–74頁,2003。
    59.范嘉程、黃俊龍,「頁岩風化不飽和土壤之土壤水分特性曲線」,中華水土保持學報,第43卷第3期,197–205頁,2012。
    60.青山工程顧問公司,「112-114年曾文工務段轄區邊坡穩定監測技術服務工作:第四次半年監測成果報告」,2025。
    61.國家災害防救科技中心,「大規模崩塌災害防治行動綱領」,災害防救與科技專刊,2020。
    62.張元良,「以剪力強度折減法進行邊坡穩定分析之研究」,國立中興大學土木工程學系博士論文,156頁,2004。
    63.陳世仁,「以三維擬真地層模擬探討不同降雨量之邊坡穩定分析」,國立成功大學資源工程學系博士論文,209頁,2020。
    64.陳廷安,「探討降雨入滲與地震對三維邊坡穩定分析影響之研究-以南市172線溫泉公路邊坡為例」,國立成功大學資源工程學系碩士論文,179頁,2024。
    65.傅桂霖、吳瑞鵬、黃祥慶,「泥岩區地滑監測與分析之探討」,中華水土保持學報,第46卷第3期,1079–1092頁,2014。
    66.黃俊鴻、陳正興、莊長賢,「本土HBF土壤液化評估法之不確定性」,中華民國地工技術研究學會,第133卷,77–86頁,2012。
    67.經濟部中央地質調查所,「臺灣坡地環境地質圖集說明書」,2022。
    68.潘薜伃,「填土邊坡二維及三維穩定分析之探討」,國立中興大學水土保持學系所碩士論文,73頁,2024。
    69.蕭震洋、李易叡、周立生,「以數值地形及三維地質資訊評析石門水庫匹亞崩塌地」,中國土木水利工程學會,第45卷第3期,34–44頁,2018。
    70.謝豪榮、陳德天、李金來、黃國輝,「曾文水庫泰山地滑地之調查與研究」,水土保持學報,第28卷第4期,15–36頁,1996。
    71.鍾明劍、譚志豪、陳勉銘、蘇泰維,「以定率法評估邊坡山崩臨界雨量—以南勢坑為例」,中華水土保持學報,第44卷第1期,66–77頁,2013。

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