簡易檢索 / 詳目顯示

研究生: 楊斯堯
Yang, Ssu-Yao
論文名稱: 以孔彈性理論進行降雨入滲下邊坡穩定之時變性分析
Transient Analysis of Slope Stability Responding to Rain Infiltration Based on Poroelasticity Theory
指導教授: 詹錢登
Jan, Chyan-Deng
學位類別: 博士
Doctor
系所名稱: 工學院 - 水利及海洋工程學系
Department of Hydraulic & Ocean Engineering
論文出版年: 2017
畢業學年度: 105
語文別: 英文
論文頁數: 102
中文關鍵詞: 邊坡破壞降雨入滲動態波土壤含水量孔彈性理論
外文關鍵詞: Dynamic pressure wave, Landslide, Poroelasticity, Rain infiltration, Soil moisture content
相關次數: 點閱:153下載:3
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 崩塌為土體沿著坡面向下運動的過程,也是集水區常見的侵蝕行為,其破壞而崩落的鬆散土方會危及人民生命財產安全,亦會在進入河道後,影響河川下游的水流含砂濃度,進而產生河口三角洲和棲地的演化、水庫淤積、水質等牽涉到生態與經濟層面的問題,因此對於崩塌之發生有必要進行深入的了解,以提供防災和減災等相關作業之需要。本研究以Rivendell study site, USA為研究區域,利用監測資料探討降雨入滲下土壤水分的傳遞行為,並提出土壤孔隙內壓力變化的解析解,然後配合無限邊坡理論進行邊坡的穩定分析。監測的資料結果顯示,土壤內的水份傳輸接近動態波傳行為,因而造成入滲進土壤內的水份還未到達時,原先儲存在土體內的水份便已經向下傳遞。接著本研究以孔彈性理論為基礎,提出兩個參考的時間尺度tk和tep,可以分別用來表示壓力波和消散行為在土體內的傳遞時間。隨著深度的變化,當飽和度越小的時候tk的差異會越來越顯著,在接近乾土的時候差距可以到10倍左右,然而在飽和度較高的時候tk幾乎沒有什麼變化,主要集中在0-5秒,另一方面,tep也會隨著飽和度的增加而逐漸減少,在土壤接近飽和時可以達到一天以內,因此結果顯示,降雨入滲下土層內的壓力傳遞行為主要是由動態波來控制,但是當土體接近飽和的過程中,壓力的消散作用會逐漸明顯。本研究同時利用解析解對降雨入滲下的邊坡穩定進行時變性分析,結果顯示壓力主要集中在土壤與岩層之接的交界面,且土壤性質對邊坡的穩定分析有很大的影響。

    Landslide is a natural geomorphic erosion process on hillslopes, and can be threat to people's life and property. This paper aims to investigate shallow landslide triggering on hillslopes response to rainfalls. We discuss the mechanism of water movement advancing through an unsaturated soil profile during rainfall by hillslopes hydrology monitoring in the Rivendell study site and propose a hydrologic response function combining the analysis of slope stability to clarify how does rainfall trigger landslide. Instrumental records of soil moisture dynamics show very fast response to rain infiltration that suggests pressure wave propagation predominates, leading to the release of old soil water downward into deep zones before new infiltrating water arrival. Based on poroelsticity theory, we propose two reference time tk and tep that can represent the arriving time at a certain depth of wave propagation and dissipation, respectively. Form ground surface to a depth of 1 m, tk has ten-fold differences under nearly unsaturated conditions for diverse soil properties; however, no significant variations in tk can be observed under nearly saturated conditions, which just varies from 0 sec to 5 sec. Values of tep for coarse sand is much greater but decreases to the smallest one (within 1 day) than those for other soil properties under a nearly saturated condition. Results indicates that transient pore pressure transmission is mainly dominated by dynamic wave propagation but the effect of dissipation could become more important with increase in water saturation. Analysis of slope stability for hypothetical sandy and silty soils with the function of pressure head evolution induced by rain infiltration derived from poroelasticity theory indicate that positive pressure heads concentrates on soil bedrock boundary, leading to the generation of shear zone at this boundary. Slope failures always occur with positive pressure heads. Results also show that soil properties play an important role on shallow landsliding triggered by rainfall. Use of those response function in conjunction with topographic data, soil properties, rainfall intensity and duration information, and an infinite-slope failure criterion can evaluate the timing and depth of shallow, rainfall-triggered landslide, hereby refining hazard prevention and mitigation.

    中文摘要 i Abstract ii 謝誌 iii Contents v Contents of Figure vii Contents of Table x 1. Introduction 2 1.1. Study framework 5 2. Literature review 7 2.1. Statistical approaches 7 2.2. Theoretical models 9 3. Soil water transmission under rain infiltration on a steep, unchanneled hillslope 20 3.3.2. Moisture response during rainfall events 30 3.3.3. Discussion of soil water movement during rain infiltration 35 3.3.4. Summary 39 4. Transient behavior of slope instability response to unsaturated rain infiltration 41 4.1. Methodology 41 4.1.1. Poroelasticity theory 41 4.1.1.1. Linear stress-strain relation and Momentum equation 43 4.1.1.2. Dissipative wave equation based on poroelasticity theory 49 4.1.2. Slope stability analysis 51 4.3.2. Model formulation- evolution of matric potential head induced by rain infiltration 53 4.3.2.1. Derivation of governing equation 53 4.2.2. Normalized equation, boundary and initial conditions 56 4.2.3. Analytic solution of matric potential head for uniform, unsaturated infiltration 57 4.3. Possible failure for unsaturated slope with a colluvium affected by rain infiltration 68 4.3.1. Sandy hillslopes 68 4.3.1.1. No infiltration conditions 68 4.3.1.2. Transient slope stability response to rain infiltration in unsaturated sandy soils 73 4.3.2. Silty hillslopes 78 4.3.2.1. No infiltration conditions 78 4.3.2.2. Transient slope stability response to rain infiltration in unsaturated silty soils 83 5. Conclusion 86 Appendix 89 A. Decoupling of poroesticity theory 89 Reference 96 Publications 101

    Baum RL, Godt JW (2010) Early warning of rainfall-induced shallow landslides and debris flows in the USA. Landslides 7:259–72
    Baum RL, Godt JW, Savage WZ (2010) Estimating the timing and location of shallow rainfall‐induced landslides using a model for transient, unsaturated infiltration. J Geophys Res 115, F03013, doi:10.1029/2009JF001321.
    Bear J (1988) Dynamics of Fluids in Porous Media, Dover, Mineola, N. Y.
    Berryman JG, Thigpen L, Chin RCY (1988) Bulk elastic wave propagation in partially saturated porous solids. J Acoust Soc Am 84 (1), 360–373.
    Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155-164.doi:10.1063/1.1712886.
    Biot MA (1956) Theory of propagation of elastic waves in a fluidsaturated porous solid, I. Low-frequency range, J Acoust Soc Am 28(2), 168–178.
    Biot MA (1962) Mechanics of deformation and acoustic propagation in porous media, J Appl Phys 33(4), 1482– 1498.
    Caine N (1980) The rainfall intensity–duration control of shallow landslides and debris flows. Geogr Ann 62A:23–27.
    Chen CY, Yu FC, Lin SC, Cheung KW (2007) Discussion of Landslide Self-Organized Criticality and the Initiation of Debris Flow. Earth Surf Process Landforms 32:197–209
    Chen JC, Jan CD (2008) Probabilistic analysis of landslide potential of an inclined uniform soil layer of infinite length: application. Taiwan. Environ Geol 54:1175-1183
    Collins BD, Znidarcic D (2004) Stability analyses of rainfall induced landslides. J geotech and geoenviron engineer 130 (4):362-372
    Conte E, Troncone A (2012) Simplified approach for the analysis of rainfall-induced Shallow landslides. J Geotech Geoenviron Eng, 10.1061/(ASCE)GT.1943-5606.0000577, 398-406.
    Cruden DM (1991) A simple definition of a landslide. Bull Int Assoc Eng Geol 43:27–29
    Dalton FN (1992) Development of time-domain reflectometry for measuring soil water content and bulk soil electrical conductivity, in Advances in Measurement of Soil Physical Properties: Bringing Theory Into Practice, SSSA Spec. Pub. 30, edited by G. C. Topp, W. D. Reynolds, and R. E. Green, pp. 143–167, Soil Sci. Soc. Am., Madison, Wisc.
    D’Odorico P, Fagherazzi S, Rigon R (2005) Potential for landsliding: Dependence on hyetograph characteristics. J Geophys Res, 110, F01007, doi:10.1029/2004JF000127.
    Eyles RJ, Eyles GO (1982) Recognition of storm damage events. Proceedings of Eleventh New Zealand Geography Conference, Wellington 1981:118–123
    Ghezzehei TA (2008) Errors in determination of soil water content using time-domain reflectometry caused by soil compaction around wave guides Water Resour Res 44, W08451, doi:10.1029/2007WR006502.
    Godt JW, Schulz WH, Baum RL, Savage WZ (2008) Modeling rainfall conditions for shallow landsliding in Seattle, Washington. In: Baum RL, Godt JW, Highland LM (eds) Engineering geology and landslides of the Seattle, Washington, area: Geological Society of America reviews in engineering geology, v. XX. Geological Society of America, Boulder, pp 137–152. doi:10.1130/2008.4020(08).
    Guzzetti F, Peruccacci S, Rossi M, Stark CP (2008) The rainfall intensity –duration control of shallow landslides and debris flows: an update. Landslides 5:3–17
    Iverson RM (1991) Sensitivity of stability analyses to groundwater data. In Landslides (Edited by Bell). 451-457 Balkema, Rotterdam.
    Iverson RM (2000) Landslide triggering by rain infiltration, Water Resour Res 36, 1897– 1910.
    Iverson RM (2005) Regulation of landslide motion by dilatancy and pore pressure feedback, J Geophys Res 110, F02015, doi:10.1029/2004JF000268.
    Jan CD, Yang SY, Su YW, Huang WS (2016) Investigation about rainfall-induced shallow landslides in CYL and TWR watersheds, Taiwan, Environ Earth Sci 75(898), doi 10.1007/s12665-015-5215-8.
    Kim S (2009) Characterization of soil moisture responses on a hillslope to sequential rainfall events during late autumn and spring. Water Resour Res 45
    Lin CW, Liu SH, Lee SY, Liu CC (2006) Impacts of the Chi-Chi earthquake on subsequent rainfall-induced landslides in central Taiwan. Eng Geol 86:87-101
    Lin CW, Shieh CL, Yuand BD, Shiehb YC, Liua SH, Lee SY (2003) Impact of Chi-Chi earthquake on the occurrence of landslides and debris flows: example from the Chenyulan River watershed, Nantou, Taiwan. Engin Geology, 71, 49–61.
    Lo WC, Sposito G, Majer E (2002) Immiscible two-phase fluid flows in deformable porous media. Adv Water Resour 25(8–12), 1105– 1117.
    Lo WC, Sposito G, Majer E (2005) Wave propagation through elastic porous media containing two immiscible fluids. Water Resour Res 41, W02025, doi:10.1029/2004WR003162.
    Lo WC, Sposito G, Majer E (2007) Low-frequency dilatational wave propagation through unsaturated porous media containing two immiscible fluids. Transp Porous Media 68, 91–105.
    Love AEH (1934) A Treatise on the Mathematical Theory of Elasticity. Cambridge University Press, Cambridge.
    Lu N, Likos WJ (2004) Unsaturated Soil Mechanics, 556 pp., John Wiley, Hoboken, N. J.
    Salve R, Rempe DM, Dietrich WE (2012) Rain, rock moisture dynamics, and the rapid response of perched groundwater in weathered, fractured argillite underlying a steep hillslope. Water Resour Res 48, W11528, doi:10.1029/2012WR012583.
    Sivrikaya O, Kilic AM, Yalcin MG, Aykamis AS, Sonmez M (2008) The 2001 Adana landslide and its destructive effects, Turkey. Environ Geol 54:1489-1500
    Tatard L, Grasso JR, Helmstetter A and Garambois S (2010) Characterization and comparison of landslide triggering in different tectonic and climatic settings. J Geophys Res 115
    Taylor DW (1948) Fundamentals of Soil Mechanics. John Wiley, New York, 700.
    Torres R, Dietrich WE, Montgomery DR, Anderson SP, Kieth L (1998) Un saturated zone processes and the hydrologic response of a steep, unchanneled catchment. Water Resour Res 34(8), 1865-1879.
    Tsai TL, Yang JC (2006) Modeling of rainfall‐triggered shallow landslide. Environ Geol 50(4), 525–534.
    Tuncay K, Corapcioglu MY (1996) Body waves in poroelastic media saturated by two immiscible fluids. J Geophys Res 111(B11), 25,149– 25,159.
    van Genuchten, MT (1980) A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44, 892– 898.
    Wang HF, (2000) Theory of linear poroelasticity with Applications to geomechanics and hydrogeology. Princeton, Princeton University Press.
    Water Resources Agency (2011) The project of the conservation in Tseng-Wen, Nanhua, and Wusanto reservoirs and the stable water supply in southern Taiwan R.O.C, Taiwan
    Wei C, Muraleetharan KK (2002) A continuum theory of porous media saturated by multiple immiscible fluids: I. Linear poroelasticity, Int. J. Eng. Sci., 40, 1807– 1833.

    下載圖示 校內:2020-01-01公開
    校外:2020-01-01公開
    QR CODE