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研究生: 黃文彥
Wen-yen Huang
論文名稱: 岩石隧道掘進引致應力調整及地拱發展之研究
Studies of the Stress Adjustment and the Development of Ground Arching Owing to Rock Tunneling
指導教授: 陳志南
Chee-nan Chen
口試委員: 陳景文
Jing-wen Chen
李德河
De-he Lee
學位類別: 博士
Doctor
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 251
中文關鍵詞: 岩石隧道應力調整地拱發展
外文關鍵詞: Stress Adjustment and the Development of Ground, flac3d, tunnel
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傳統的隧道理論多侷限於地質均勻、圓形斷面、應力應變關係為彈性假設等理想情況,電腦數值分析亦多偏向二維的探討,但隧道隨著開挖面的推進,其力學機制本質上應屬於三維問題,以往的二維理論難以完整描述隧道的力學行為,尤其隧道的應力狀況因為隧道尺寸及深度的關係,受大地應力影響甚鉅,加上現地應力量測不易,因此常藉量測變形再回饋反推其受力行為,或作簡化性的假設,來建立其力學分析理論,但是在三維的問題上,關於隧道掘進過程的受力狀況,地拱作用的發展過程,均仍有待了解。此外,由於傳統的單孔隧道設計已無法負荷快速膨脹的交通量,近代隧道多採用雙孔甚至三孔來設計,使得隧道的力學行為更為複雜。
本研究利用有限差分之FLAC3D程式以三維數值模擬,探討隧道工作面掘進過程中之應力調整行為,並分別就不同覆蓋深度及不同側向壓力係數等地質條件下的應力調整狀況加以分析,評估隧道掘進過程的安全性,並建立預估公式。此外,由於地拱發展的機制影響隧道的支撐時機,本研究除對掘進過程中的地拱發展加以探討外,對不同覆蓋深度及不同側向壓力係數的地拱行為也加以比較。雙孔隧道部分,則藉由平行隧道的應力調整、變形行為、安全性評估加以分析,並就不同間距下的應力調整狀況,提出較適間距的評估。本研究希望藉由三維的數值分析,進一步了解隧道掘進的力學行為,以提供隧道工程規劃、設計、施工及監測的參考。


Most theories of tunneling are limited to ideal assumptions under plane-strain condition, such as tunneling into uniform geology, circular cross-section, and elastic stress-strain behavior. Most numerical analyses are also deflected to two-dimensional discussions. However, the drilling characterizations of tunneling and excavation mechanisms should be three-dimensional. The two-dimensional theories are not enough to characterize the excavation behavior completely, especially in understanding the mechanisms and predicting the stress redistribution of tunneling. The shape, size, overburden depth of the tunnel and later earth pressure coefficient of surrounding rock should have significant influence on tunneling mechanisms. Traditionally engineers prefer monitoring displacements to monitoring stress during tunneling due to easy performance consideration. However, the stress redistribution plays a very important role for excavation and support design. The stress redistribution of and ground arch development process of single tunnel excavation are still not clearly. Two parallel, tunnels will be more complicated than single tunnel. These are the study subjects of the paper.
The program FLAC3D was used in this study that simulated the three-dimensional tunneling conditions. The three-dimensional stress adjustments of working surface are analyzed into different geological condition with various depths and lateral pressure coefficients. the safety assessment of tunneling based on stress redistribution are also analyzed. Furthermore, the ground arching development process are also investigated and discussed. The interaction between two parallel tunnels are analyzed from stress adjustment, deformation, safety assessment. Finally some suggestions that help to planning, design, construction, and monitoring of tunneling are proposed.

目 錄 摘 要 ------------------------------------------------------------------ I 目 錄 ----------------------------------------------------------------- IV 表 目 錄 --------------------------------------------------------------- VIII 圖 目 錄 ----------------------------------------------------------------- XI 符 號 說 明 -------------------------------------------------------------- XX 第一章  緒論 ------------------------------------------------------------ 1 1.1 研究目的 ---------------------------------------------------------- 1 1.2 研究方法與內容 ---------------------------------------------------- 2 1.3 論文內容 ---------------------------------------------------------- 4 第二章  文獻回顧 -------------------------------------------------------- 7 2.1 應力路徑與Mohr-Coulomb破壞準則-------------------------------------- 7 2.1.1 應力路徑 ----------------------------------------------------------- 7 2.1.2 主應力空間 -------------------------------------------------------- 10 2.1.3 Mohr-Coulomb破壞準則 ---------------------------------------------- 12 2.2 隧道的應力分佈 --------------------------------------------------- 14 2.2.1 隧道周圍的應力分佈 ------------------------------------------------ 14 2.2.2 隧道開挖的塑性行為 ------------------------------------------------ 19 2.3 雙孔隧道的互制 --------------------------------------------------- 24 2.4 岩體支撐與拱效應 ------------------------------------------------- 28 2.4.1 Terzaghi的岩石壓力理論 -------------------------------------------- 28 2.4.2 Bierbäumer的理論 -------------------------------------------------- 33 2.4.3 Protodyakonov之理論 ----------------------------------------------- 37 第三章  數值分析方法與三維數值模式之建立 ------------------------------- 40 3.1 FLAC3D的基本理論架構 --------------------------------------------- 40 3.1.1 FLAC3D之數學模式 -------------------------------------------------- 40 3.1.2 FLAC3D之數值分析方法 ---------------------------------------------- 42 3.2 FLAC3D的組合律模式 ----------------------------------------------- 43 3.3 FLAC3D的運算程序 ------------------------------------------------- 47 3.4 FLAC3D的基本用詞 ------------------------------------------------- 48 3.5 FLAC3D數值模擬之基本分析步驟 ------------------------------------- 53 3.6 岩體及支撐材料參數 ----------------------------------------------- 56 3.6.1 岩體變形模數Em ---------------------------------------------------- 56 3.6.2 剪力模數G、體積模數B與岩體現地應力 -------------------------------- 60 3.6.3 岩體強度參數 ------------------------------------------------------ 62 3.6.4 支撐材料參數 ------------------------------------------------------ 65 3.7 數值分析三維網格之建立 ------------------------------------------- 71 第四章  單孔隧道開挖之力學行為探討 -------------------------------------- 78 4.1 單孔隧道之三維掘進應力調整 --------------------------------------- 82 4.2 掘進過程應力路徑與安全性探討 ------------------------------------- 94 4.3 主應力空間之應力路徑與Mohr-Coulomb準則 -------------------------- 103 4.4 覆蓋深度與側向壓力係數對掘進應力的影響 -------------------------- 117 4.4.1 不同覆蓋深度的影響(K=1) ---------------------------------------- 117 4.4.2 不同側向壓力係數K值的影響(H=50m) ------------------------------- 122 4.4.3 由K值及衍生之應力調整公式預估隧道的安全性(H=50m------------------- 126 第五章  雙孔隧道開挖之力學行為探討 ------------------------------------ 130 5.1 淨間距W=1B及H=50m時之雙孔隧道掘進應力及變形行為 -------------------------------------------------------------------------- 134 5.1.1 掘進應力變化曲線 ------------------------------------------------- 135 5.1.2 隧道開挖面上的掘進變位曲線 --------------------------------------- 140 5.1.3 掘進過程中應力調整之應力路徑及安全性的探討 ----------------------- 143 5.2 不同隧道相鄰間距W對隧道工程行為之影響(H=50m)-------------------- 149 5.2.1 不同淨間距對隧道主應力差值 之掘進變化影響 ------------------------ 149 5.2.2 不同淨間距對隧道變位之掘進變化影響 ------------------------------- 154 5.2.3 兩隧道間距對中間岩柱之安全性探討 --------------------------------- 159 5.3 過近間距下隧道塑性區之探討(W=B/4) ----------------------------- 161 5.4 利用主應力空間之Mohr-Coulomb準則探討掘進安全性-------------------- 166 第六章  掘進應力調整引起的地拱發展探討 -------------------------------- 178 6.1 隧道掘進的地拱發展 ---------------------------------------------- 179 6.2 覆蓋深度對地拱發展的影響(K=1) --------------------------------- 186 6.3 地拱發展與K值的探討(H=50m) ------------------------------------ 193 6.4 地拱發展範圍之探討 ---------------------------------------------- 197 6.4.1 單孔隧道的地拱影響區域 ------------------------------------------- 197 6.4.2 雙孔隧道掘進過程之地拱現象 --------------------------------------- 201 第七章  結論與建議 ---------------------------------------------------- 208 7.1 結論 ------------------------------------------------------------ 208 7.2 建議 ------------------------------------------------------------ 210 參考文獻 ---------------------------------------------------------------- 212 附錄A 主應力空間與摩爾-庫倫破壞準則 ------------------------------------ 216 A.1 應力張量--------------------------------------------------------------217 A.2 主應力和應力不變量----------------------------------------------------217 A.2.1 應力不變量----------------------------------------------------------217 A.2.2 軸差應力張量的不變量------------------------------------------------219 A.2.3 八面體應力----------------------------------------------------------221 A.3 Haigh-Westergaard主應力空間-------------------------------------------222 A.4 摩爾-庫倫準則(Mohr-Coulomb Criteria)--------------------------------223 附錄B 單孔隧道不同覆蓋深度H之掘進應力曲線圖(K=1) --------------------- 229 附錄C 單孔隧道不同側向壓力係數K之掘進應力曲線圖(H=50m) --------------- 236 附錄D 雙孔隧道不同淨間距B之掘進應力曲線圖(H=50m) --------------------- 243

1. Terzaghi, k., Rock Defects and Load on Tunnel Supports, Rock Tunneling with Steel Supports, eds. R. V. Proctor and T. White, Commercial Shearing and stamping Co., Youngstown, Ohio, pp.15-99(1946).
2. Lambe, T. W., “Methods of Estimating Settlement,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 90, No. SM5, pp.47-74 (1964).
3. Lambe, T. W., and Marr, W.A., “Stress Path Method: Second Edition,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 105, No. GT6, pp.727-738 (1979).
4. Chen, W.F. and Han, D.J., Plasiticity for structural Engineers, Springer-Verlag New York Inc. (1988).
5. Desai, C. S. and Siriwardane, H. J., Constitutive Laws for Engineering Materials with Emphasis on Geologic Materials, Prentice-Hall, Englenood Cliffs, (1984).
6. Kirsch, G., “Die Theorie der Elastizitat und Die Budurfnisse der Festigkeitslehre,” Veit. Ver. Deut. Ing., Vol. 42, No. 28, pp.797-807 (1898).
7. Hoek, E., and Brown, E.T., Underground Excavations in Rock, The Institution of Mining and Metallurgy , London (1980).
8. Goodman, R.E., Introduction to Rock Mechanics , John Wiley and Sons, New York (1989).
9. Barla, G., and Barla, M., “Numerical Simulation of Squeezing Behavior in Tunnel,” FLAC and Numerical Modeling in Geomechanics, Proc. of 2th Int. FLAC Symp., Lyon, France,pp.323-328 (2001).
10. Ellis, H.L., Feldman, A.I. and Buechel, G.J., “Numerical Analysis of the Bosten Red Line Tunnel,” FLAC and Numerical Modeling in Geomechanics, Proc. of the Int. FLAC Symp. In Geomechanics, Minneapolis, Minnesota, USA, pp.323-328 (1999).
11. Abdel-Meguid, M., Rowe, R.K. and Lo, K.Y., “Three-dimensional Analysis of Unlined Tunnels in Rock Subjected to High Horizontal Stress,” Canadian Geotechnical Journal, 40(6), pp.1208-1224 (2003).
12. Károly Széchy , The Art of Tunneling, Akadémiai kiadó , Budapest, (1973).(間接引用)
13. Brown, E.T., Bray, J.W., Ladanyi, B. , and Hoek, E., “Ground Response Curves for Rock Tunnels, ” Journal of the Geotechnical Engineering, ASCE, vol. 109, No.1, pp.15-39(1983).
14. 陳正勳、黃燦輝,「岩石隧道周圍破裂區及非軸對稱隧道問題之地盤反應曲線」,1992岩盤工程研討會論文專集,台南,第359-371頁(1992)。
15. 洪秋金,「隧道地盤反應曲線及破裂區發展之三向度數值分析」,碩士論文,國立台灣工業技術學院營建工程技術研究所,台北 (1995)。
16. 林瑤明,「現地應力及應變軟化模式對隧道變形之影響」,碩士論文,國立台灣工業技術學院營建工程技術研究所,台北 (1996)。
17. 林志明,「岩石隧道掘進之變形行為研究」,博士論文,國立台灣科技大學營建工程技術研究所,台北 (2000)。
18. Ling, Chin-Bing, “On the Stresses in a Plate Containing Two Circular Holes,” Journal of Applied Physics, Vol. 19, Japan, (1948).
19. Duvall, W. L., “Stress Analysis Applied to Underground Mining Problem, Part II-Stress Analysis Applied to Multiple Opening and Pillars,” U. S. BurBines Rept. Invest, 4387(1948).
20. 陳錦清、蕭富元,「雙孔隧道之互制對安全與支撐應力之影響」,中興工程顧問社大地力學研究中心研究報告,台北 (1997)。
21. Bieniawski, Z.T, “ Empirical methods of design,” Rock Mechanics Design in Mining and Tunneling, A.A.Balkema Publishers, Netherlands, pp.97-135(1984). (間接引用)
22. 謝敬義,「隧道工程與地質」,地工技術,第28期,第5-24頁,台北(1989)。(間接引用)
23. Itasca Consulting Group, Inc., Fast Lagrangian Analysis of Continua in 3 Dimensions, User’s manual, Version 2.10, Minneapolis, Minnesota, U.S.A. (2002).
24. Chen, W.F., Constitutive Equations for Engineering Materials , Volume 2: Plasticity and Modeling, Elsevier, Netherlands (1994).
25. Itasca Consulting Group, Inc., Fast Lagrangian Analysis of Continua, User’s manual, Version 3.2, Minneapolis, Minnesota, U.S.A. (1993).
26. Bieniawski, Z.T., “Determining Rock Mass Deformability:Experience from Case Histories,” Int. J. Rock Mech. Min. Sci., Vol. 15, pp.237-248 (1978).
27. Serafim, J. L. and Pereira, “Considerations of the Geomechanics Classification of Bieniawski,” Proc. Int. Symp. on Engineering Geology and Underground Construction, LNEC, Lisbon, Portugal (1983).
28. Barton, N, “The Influence of Joint Properties in Modelling Jointed Rock Masses,” Keynote Lecture, 8th ISRM Congress, Tokyo, Vol. III of Proceedings, (1995).
29. 陳錦清、張玉僯、李國榮、俞旗文,「岩體變形特性與RMR岩體評分值關係之研究」,中興工程顧問社大地力學研究中心研究報告,台北 (1997)。
30. Hoek, E. ,and Brown, E.T , “Practical Estimates of Rock Mass Strength ,” Int. J. Rock Mech. Min. Sci. & Geomech. Abster. Vol. 34, No.8, pp.1165-1186 (1997).
31. Hoek, E., Rock Engineering, Course Note for Rock Engineering in the Department of Civil Engineering at the University of Toronto, pp.176-181(1999).
32. 鄺寶山、王文禮,「FLAC程式於隧道工程之實例分析」,地工技術雜誌,第41期,第50-61頁(1993)。
33. 鄭文隆,「國內隧道工程展望」,內政部營建署營建自動化人才培訓課程系列(二),台北,第1-30頁(1996)。
34. 陳志南,「岩體分類及其在隧道工程之應用」,隧道工程實務(陳志南主編),科技圖書股份有限公司,台北,第23-48頁(1998)。(間接引用)

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