第五章 結論與建議
5.2 建議
1. 本文在計算坡度上假設 DEM 誤差之空間變異性具有指數型態之共 變異函數,而依據現地狀況之不同應考慮假設之合適性,未來可進一步探 討共變異函數為其他型態時之影響。
2.進行變異數敏感度分析方法在未來嘗試採用可獨立分析各參數敏感 度係數之方法。
3. 未來可以實際現地之案例,分析崩塌參度與崩塌時間之敏感度分析,
以評估降雨條件對坡地淺崩塌之影響。
33
參考文獻
1. 打荻珠男(1971),「ひと雨による山腹崩壞について」,新砂防。
2. 方至聖(2010) ,「地質參數對降雨入滲無限邊坡安全係數之敏感度分析」,
國立嘉義大學土木與水資源工程學研究所,碩士論文。
3. 林仙蕓(2008),「降雨引發坡地崩塌之區域性風險分析研究」,國立交通 大學土木工程學研究所,碩士論文。
4. 林柏勳(2011),「石門水庫集水區土壤厚度經驗式探討」,水保技術,
98-109。
5. 林俐玲、陳信宏(2006),「推估土壤水分特性研究」,水土保持學報,38(3),
287-302。
6. 陳樹群(2003),「水庫集水區土砂整治成效評估 2/2」,經濟部水利署。
7. 陳本康(2005),「石門水庫集水區崩塌特性及潛勢評估研究」,國立中興 大學水土保持學研究所,博士論文。
8. 陳弘恩(2005) ,「降雨引發坡地淺崩塌模式之建立與探討」,國立交通大 學土木工程學研究所,碩士論文。
9. 陳資婷(2011) ,「建立考量土壤參數不確定性之降雨引發淺崩塌機率模 式」,國立嘉義大學土木與水資源工程學研究所,碩士論文。
10. 楊錦釧(2008),「石門水庫集水區崩塌與庫區淤積風險評估研究 3/3」,經 濟部水利署。
11. 楊錦釧(2011),「水庫集水區區域性高精度崩塌潛勢分析研究 3/3」,經濟 部水利署。
12. 顏宏宇(2005),「LiDAR 直接量測數值地形資料精度分析與應用」,國立 成功大學地球科學研究所,碩士論文。
13. 蘇歆婷(2007),「降雨引發坡地崩塌風險評估模式之建立與應用」,國立
34
交通大學土木工程學研究所,碩士論文。
14. 劉緁玲(2012),「數種不確定性分析方法於降雨引發坡地崩塌模式之比較 研究」,國立交通大學土木工程學研究所,碩士論文。
15. 謝正倫(2002),「流域土砂管理模式之研究 3/3」,經濟部水資源局。
16. 鍾欣翰(2008) ,「考慮水文模式的地形穩定分析-以匹亞溪集水區為例」,
國立中央大學應用地質研究所,碩士論文。
17. Alonso, E. E. (1976). Risk Analysis of Slopes and its Application to Canadian Sensitive Clays. Geotechnique, 26(3), 453-472.
18. Ang, A. H. S. and Tang, W. H. (1975). Probability Concepts in Engineering Planning and Design, Vol. 1, Basic Principles. John Wiley & Sons Inc.
19. Baum RL, Savage WZ, Godt JW (2002). TRIGRS-a Fortran Program for Transient Rainfall Infiltration and Grid-based Regional Slope-Stability Analysis, Virginia, US Geological Survey Open file report, 02-424.
20. Bear J (1972). Dynamics of Fluids in Porous Media. Dover, Mineola, New York.
21. Bishop AW (1954). The Use of Pore Pressure Coefficients in Practice.
Geotechnique, 4, 148-152.
22. Borga, M., Dalla Fontana, G., Gregoretti, C. and Marchi, L. (2002).
Assessment of Shallow Landsliding by Using a Physically Based Model of Hillslope Stability. Hydrological Processes, 16 (14), 2833-2851.
23. Brooks, R.H., and A.T. Corey (1964). Hydraulic Properties of Porous Media.
Hydrology Paper 3. Colorado State Univ., Fort Collins, CO.
24. Campbel, G. (1974). A Simple Method for Determining Unsaturated Conductivity from Moisture Retention Data. Soil Sci. 142, 311–314.
25. Carsel RF, Parrish RS (1988). Developing Joint Probability Distributions of Soil Water Retention Characteristics. Water Resources Research, 24(5), 755-769.
26. Celia MA, Bouloutas ET, Zarba RL (1990). A General Mass-Conservation
35
Numerical Solution for the Unsaturated Flow Equation. Water Resources Research, 26(7), 1483-1496.
27. Chang, C. H., Yang, J. C., and Tung, Y. K. (1993) Sensitivity and Uncertainty Analyses of a Sediment Transport Model: a Global Approach.
Journal of Stochastic Hydrology and Hydraulic, 7(4), 299-314.
28. Chang, Y. L., Tsai, T. L., & Yang, J. C. (5th-7th of July 2010). Global Sensitivity and Uncertainty Analysis of Rainfall Triggered Shallow Landslide. Paper presented at the 10th International Symposium on Stochastic Hydraulics and the 5th International Conference on Water Resources and Environment Research, Quebec City, Canada.
29. Chen, J. C., Jan, C. D., & Lee, M. H. (2007). Probabilistic Analysis of Landslide Potential of an Inclined Uniform Soil Layer of Infinite Length:
Theorem. Environmental Geology, 51(7), 1239-1248.
30. Cheung, R. W. M. and Tang, W. H. (2005). Realistic Assessment of Slope Reliability for Effective Landslide Hazard Management. Geotechnique, 55(1), 85-94.
31. Christian, J. T., Ladd, C. C., & Baecher, G. B. (1992). Reliability and Probability in Stability Analysis.
32. Christian, J. T., Ladd, C. C., & Baecher, G. B. (1994). Reliability Applied to Slope Stability Analysis. Journal of Geotechnical Engineering; (United States), 120(12), 2180-2207.
33. Cressie, N. A. C. (1993). Statistics for Spatial Data: Wiley (New York).
34. Cruden, D. M. and Fell, R. (1997) Landslide Risk Assessment, Proc. of International Workshop on Landslide Risk Assessment. Honolulu, Hawaii, U.S.A.
35. Dai, F. C., Lee, C. F., & Ngai, Y. Y. (2002). Landslide Risk Assessment and Management: an Overview. Engineering Geology, 64(1), 65-87.
36. Delmonaco G, Leoni G, Margottini C, Puglisi C, Spizzichino D (2003), Large Scale Debris-Flow Hazard Assessment: A Geotechnical Approach and
36
GIS Modeling, Nat. Hazards Earth Syst. Sci., (3), 443-455.
37. El-Kadi, A. I. (1987). Variability of Infiltration under Uncertainty in Unsaturated Zone Parameter, J. Hydrol., 90(1), 61-80.
38. Fetter, C. W. (1994). Applied Hydrology. New York: Macmillan College Publishing Company Inc.
39. Gelhar LW (1993). Stochastic Subsurface Hydrology, Prentice-Hall Inc., New Jersey.
40. Griffiths, D. V. and Fenton, G. A. (2001) Bearing Capacity of Spatially Random Soil: the Untrained Clay Prandtl Problem Revisited. Geotechnique, (4), 351-359.
41. Harr, M. E. (1987). Reliability-Based Design in Civil Engineering. Mc- Graw-Hill, New York.
42. Haverkamp, R., M. Vauclin, J. Touma,; P. J. Wierenga, and, G. Vachaud (1977). A Comparison of Numerical Simulation Models for One-Dimensional Infiltration. Soil Sci. Soc. Am. J. 41, 285-294.
43. Harp, E. L., Jibson, R. W., (1995). Inventory of Landslides Triggered by the 1994 Northridge, Californation Earthquake, in: US Geological Survey Open-File Report, 17, 95-213.
44. Heimsath, A. M., Dirtrich, W. E., Nishiizumi, K., and Finkel, R. C.,(1999).
Cosmogenic Nuclides, Topography, and the Spatial Variation of Soil Depth.
Geomorphology, 27, 151-172.
45. Homma, T., Saltelli, A.(1996). Importance Measures in Global Sensitivity Analysis of Model Output, Reliability Engrg. System Safety 52 (1), 1–17.
46. Hovius, N., Stark, C. P., & Allen, P. A. (1997). Sediment Flux from a Mountain Belt Derived by Landslide Mapping. Geology, 25(3), 231-234.
47. Husein Malkawi, A. I., Hassan, W. F., & Abdulla, F. A. (2000). Uncertainty and Reliability Analysis Applied to Slope Stability. Structural Safety, 22(2), 161-187.
48. Hurley DG, Pantelis G (1985). Unsaturated and Saturated Flow through a
37
Thin Porous Layer on A Hillslope. Water Resources Research, 21, 821-824.
49. Iverson, R. M. (2000). Landslide Triggering by Rain Infiltration. Water Resources Research, 36(7), 1897-1910.
50. Ishigami, T., Homma, T., (1990). An Importance Quantification Technique in Uncertainty Analysis for Computer Models, in: Proceedings of The ISUMA’90, First International Symposium on Uncertainty Modeling and Analysis, December 3–6, University of Maryland.
51. Jennings, E. (1965). Matrix Formulas for Part and Partial Correlation.
Psychometrika, 30(3).
52. Jacques, J., Lavergne, C. and Devictor, N. (2006). Sensitivity Analysis in Presence of Model Uncertainty and Correlation Inputs. Reliability Engineering and System Safety, 91, 1126-1134.
53. Jibson, R. W., Harp, E. L., & Michael, J. A. (1998). A Method for Producing Digital Probabilistic Seismic Landslide Hazard Maps: An Example from The Los Angeles, California, area: US Dept. of the Interior, US Geological Survey.
54. Korup, O. (2005). Distribution of Landslides in Southwest New Zealand.
Landslides, 2(1), 43-51.
55. Knopman, D.S. and Voss ,C.I. (1988). Further Comment Sensitivities, Parameter Estimation and Sampling Design in One-Dimension Analysis of Solute Transport in Porous Media. Water Resources Research, 24(2), 225-238.
56. Lu, N. and Likos, W. J. (2004). Unsaturated Soil Mechanics. John Wiley and Sons, Hoboben, New Jersey.
57. Morgenstern, N. R., (1997). Toward Landslide Risk Assessment in Practice.
In: Cruden and Fell (eds.) Landslide Risk Assessment, 15-24, Balkema, Rotterdam.
58. Mostyn, G. R. and Li, K. S., (1993). Probabilistic Slope Analysis-State-of-Play. Proceedings of the Conference on Probabilistic
38
Methods in Geotechnical Engineering, 89-110, Canberra, Australia.
59. Mylopoulos, Y. A., Theodosiou, N., & Mylopoulos, N. A. (1999). A Stochastic Optimization Approach in the Design of an Aquifer Remediation under Hydrogeological Uncertainty. Water Resources Management, 13(5), 335-351.
60. Petley, D. N. (2008). The Global Occurrence of Fatal Landslides in 2007.
Geophysical Research Abstracts, Vol. 10, EGU General Assembly 2008, 3pp.
61. Refice A, Capolongo D (2002), Probabilistic Modeling of Uncertainties in Earthquake-Induced Landslide Hazard Assessment. Computers &
Geosciences, 28, 735-749.
62. Saltelli,A.,Ratto,M.,Andres,T.,Campolongo, F. ,Cariboni, J., Gatelli, D., Saisana, M. and Tarantola, S. (2008) Global Sensitivity Analysis, the Primer . 63. Saltelli, A., S. Tarantola, F. Campolongo and M. Ratto (2004). Sensitivity
Analysis in Practice: a Guide to Assessing Scientific Models. John Wiley &
Sons, Ltd.
64. Saltelli,A.(2002).Making Best Use of Model Evaluations to Compute Sensitivity Indices. Computer Physics Communications 145, 280-297.
65. Salciarini D, Godt JW, Savage WZ, Conversini P, Baum RL, Michael JA (2006), Modeling Regional Initiation of Rainfall-Induced Shallow Landslides in the Eastern Umbria Region of Central Italy. Landslides, 3, 181-194.
66. Sivakumar Babu G.L., Mukesh M.D. (2003), Risk Analysis of Landslides-a Case Study. Geotechnical and Geological Engineering, 21, 113-127.
67. Sobol’, I. M. (1990). Sensitivity Estimates for Nonlinear Mathematical Models. Matematicheskoe Modelirovanie 2, 112–118.
68. Soeters, R. and Van Westen, C. J. (1996). Slope Stability Recognition, Analysis and Zonation in: Landslides Investigation and Mitigation. (eds.) Turner, A. K., Schuster, R. L., Transportation Research Board, special report 247, 129-177, National Academy Press, Washington.
69. Tsai TL (2008). The Influence of Rainstorm Pattern on Shallow Landslide.
39
Environmental Geology, 53(7), 1563-1570.
70. Tsai TL, Chen HE, Yang JC (2008). Numerical Modeling of Rainstorm-Triggered Shallow Landslides in Saturated and Unsaturated Soils, Environmental Geology, 55(4), 1269-1277.
71. Tsai TL, Chen HF (2010). Effects of Degree of Saturation on Shallow Landslides Triggered by Rainfall. Environmental Earth Sciences, 59, 1285-1295.
72. Tsai TL, Yang JC (2006). Modeling of Rainfall-Triggered Shallow Landslide.
Environmental Geology, 50(4), 525-534.
73. Tung, Y. K. and Yen, B. C. (2005). Hydrosystems Engineering Uncertainty Analysis. McGraw-Hill, New York.
74. Van Genuchten (1980). A Closed-Form Equation for Predicting Hydraulic Conductivity of Unsaturated Soils. Soil Sci. Soc. Am. J., 44, 892-898.
75. Vanmarcke, E. H. (1977). Reliability of Earth Slopes. Journal of the Geotechnical Engineering Division, 103(11), 1227-1246.
76. Vanmarcke, E. H. (1992). Reliability in Foundation Engineering Practice.
Foundation Engineering, Principles and Practices, Vol. 2., (Ed. E. H.
Kulhawy), 1158–1669.
77. Van Westen, C. J., Rengers, N., Terlien, M. T. J. and Soeters, R. (1997).
Prediction of the Occurrence of Slope Instability Phenomena through GIS-Based Hazard Zonation. Geologische Rundschau, 86(2), 404-414.
78. Van Westen, C. J., Van Asch, T. W. J. and Soeters, R. (2006). Landslide Hazard and Risk Zonation – Why is it Still so Difficult? Bulletin of Engineering Geology and the Environment, 65(2), 167-184.
79. Vanapalli SK, Fredlund DG (2000), Comparison of Empirical Procedures to Predict the Shear Strength of Unsaturated Soils Using the Soil-Water Characteristic Curve. In Advances in Unsaturated Geotechnics, Shackelford CD, Houston SL, and Chang NY eds. GPS No.99, ASCE, Reston, VA, pp.
195-209.
40
80. Wagner, B. J., & Gorelick, S. M. (1989). Reliable Aquifer Remediation in the Presence of Spatially Variable Hydraulic Conductivity: From Data to Design. Water Resources Research, 25(10), 2211-2225.
81. Yarahmadi Bafghi AR, Verdel T (2005). Sarma-Based Key-Group Method for Rock Slope Reliability Analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 29, 1019-1043.
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表 4.1 艾利颱風期間時雨量表
日期(日/月) 時刻(hour) 時雨量(mm) 日期(月/日) 時刻(hour) 時雨量(mm)
8/23 12 4.5 8/24 12 14.5
8/23 13 2 8/24 13 23.5
8/23 14 1.5 8/24 14 17.5
8/23 15 1.5 8/24 15 18.5
8/23 16 1 8/24 16 12.5
8/23 17 8.5 8/24 17 28
8/23 18 12 8/24 18 42
8/23 19 21.5 8/24 19 28
8/23 20 9.5 8/24 20 46
8/23 21 4.5 8/24 21 66
8/23 22 13 8/24 22 44
8/23 23 17.5 8/24 23 57
8/23 0 30 8/24 0 71.5
8/24 1 25.5 8/25 1 60.5
8/24 2 15 8/25 2 57.5
8/24 3 16.5 8/25 3 53
8/24 4 6.5 8/25 4 59.5
8/24 5 14.5 8/25 5 50
8/24 6 42 8/25 6 40.5
8/24 7 37 8/25 7 30
8/24 8 14.5 8/25 8 12
8/24 9 14.5 8/25 9 7
8/24 10 27.5 8/25 10 4.5
8/24 11 23.5 8/25 11 2
43
表 4.2 模式參數統計特性整理表
模式參數 平均值 標準差 機率密度函數
初始地下水位(𝑑𝑍) 2.5 m 0.725 均勻分布
土壤比重(𝐺𝑠) 2.665 0.18665 常態分佈
有效摩擦角(ϕ) 30.9° 1.125 常態分佈
有效凝聚力(C) 2.25
kN m /
2 9.27 常態分佈 殘餘體積含水量(𝜃𝑟) 0.065 0.017 Johnson family SB飽和水力傳導係數(𝐾𝑠) 4.42
cm hr /
5.63 Johnson family SB進氣潛能因子(ξ) 0.012 0.037 Johnson family SB
孔徑指數(N) 1.89 0.17 Johnson family LN 飽和體積含水量(𝜃𝑠) 0.41 0.09
水單位重γ𝑤 9810
N m /
340 m DEM 誤差 0 4.152
5 m DEM 誤差 0 2.126
44
表 4.3 保水曲線參數之共變異係數矩陣
[
2.5600 − 0.2488 0.0592 0.3376
−0.2488 0.3129 0.0035 − 0.1367 0.0592 0.0035 0.0019 0.0048 0.3376 − 0.1367 0.0048 0.0826 ]
圖 4.4 坡度與土壤厚度設定
案例 一 二 三 四 五 六
平均坡度 20 度 30 度 40 度 20 度 30 度 40 度
DEM 解析度 40 m DEM 5 m DEM
45
圖 1.1 研究步驟
46
圖 2.1 坡地座標系統與模擬邊界條件示意圖
47
圖 3.1 偏相關係數示意圖
圖 3.2 部分相關係數示意圖
48
圖 4.1 砂崙仔工程地區位置(楊錦釧等,2006)
圖 4.2 艾利颱風期間三光站時雨量組體圖
49
圖 4.3 坡度與崩塌深度現場量測資料
圖 4.4 誤差項常態測試圖
50
51
52
53
54
55
56
57
58
59
60
61
62
圖 4.41 案例六土層第三層,安全係數部分相關係數
-0.4 -0.2 0 0.2 0.4 0.6 0.8 1
0 20 40 60 80 100
部分相關係數
時間(h)
殘餘含水量 水力傳導係數 進氣潛能因子 孔徑指數 土層厚度 坡度 摩擦角 凝聚力 土壤比重 初始地下水位