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研究生: 邱靜怡
Chiu, Ching-Yi
論文名稱: 受動力作用下地層有效應力 與地下水位變化之研究
A Numerical Study of Effective Stress and Groundwater Level Changes in Poroelastic Aquifer Under Dynamic Excitations
指導教授: 王建力
Wang, Chein-Lee
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: 2004
畢業學年度: 92
語文別: 中文
論文頁數: 148
中文關鍵詞: 同震地下水位變化PDEase2D動態孔隙彈性理論
外文關鍵詞: Coseismic changes of groundwater level, Dynamic poroelastic theory, PDEase2D
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  •   國內外許多地震事件中,經常發現地下水位在地震發生前後,有異常變化之現象。1999年集集地震發生時,由經濟部水資源局在鄰近於車籠埔斷層西側的濁水溪沖積扇建立之地下水位監測井網,恰好紀錄了濁水溪扇洲於地震期間之水位變化。
      為了解地下水位變化與地震之關係,本研究利用有限元素分析軟體PDEase2D建構出動態孔隙彈性理論模式,針對地震引發地下水位變化進行物理機制分析。主要分析分為三部分,第一部分為敏感度分析,藉由應力-應變-超額孔隙水壓變化之耦合關係,探討各參數對同震地下水位變化之影響;第二部分是假設不同邊界條件,以探討地層環境對同震地下水位變化之影響;第三部分為複層地層分析,探討不同的沉積模式對同震地下水位變化之影響。此外,本研究以濁水溪沖積扇做為研究案例,針對集集地震所引發的地下水位變化進行水位擬合,以求得各觀測站區域之修正值。
      分析結果顯示,水力傳導係數、楊氏係數、體積應變放大係數、阻尼係數及作用力大小,對同震地下水位變化的影響較為顯著。此外,施加不同型式之作用力會產生不同之震波型式,進而影響地下水位變化的趨勢。對均質地層而言,越靠近力源處其同震地下水位變化越劇烈,且透水性越差,其同震地下水位變化越明顯。對於非均質地層而言,不同性質之地質材料於地層中所佔的比例、厚度與沉積組合型式,對同震地下水位變化之程度與趨勢均有明顯的影響。研究案例由於應用理論、地質模型與作用力型式均假設為較單純之情況,因此分析結果需乘以一修正值以符合現場地下水位變化之趨勢。

      The abnormal change of groundwater level has often been accompanied with many earthquake incidents around the world. During the occurrence of 1999 Chi-Chi earthquake, a network of hydrologic monitoring wells that located in Choshui River alluvial fan near the west side of Chelungpu fault recorded the abrupt changes of groundwater level which clearly showed the effect of this major earthquake.
      In order to understand the relation between change of groundwater and earthquake, this study attempts to develop a modified dynamic poroelastic theory. A finite element analysis software PDEase2D is employed to carry out the numerical study. The poroelastic theory features the coupled relationship of stress-strain-pore pressure change. Thus, the physical mechanism of groundwater level change due to earthquake can be interpreted satisfactorily. There are three main topics in this study. The first part is sensitivity analysis. The effects of various parameters on the coseismic changes of groundwater level are discussed. The second part discussed the effect of stratum environment on the coseismic changes of groundwater level, which assumes different types of boundary conditions. The third part is stratum analysis of composite layers. It discussed the effect of different sediment models on the coseismic changes of groundwater level. Furthermore, this study took Choshui River fan as a case study, fitting the changes of groundwater level that caused by Chi-Chi earthquake, and evaluating the regional correction coefficient of each observation station.
      The numerical results showed that hydraulic conductivity, Young’s modulus, volumetric strain amplifying coefficient, damping coefficient and force proportion had significant effect on coseismic groundwater level. Besides, imposing different types of force lead to different types of seismic waves, and further affected the trend of changes of groundwater level. For homogeneity stratum, the changes of coseismic groundwater level would become more severe if get closer to the imposed location of applied force, and the low permeable condition also had significant effect on coseismic groundwater level. For heterogeneous stratum, the composition, thickness and sediment type of different geology materials also had significant effects on the extent and trend of the coseismic groundwater level. For the case study, since the numerical model is considered a simplistic one, therefore, this study suggests a correction coefficient be necessary for fitting in the trend of realistic changes of on-the-spot groundwater level.

    摘要 I Abstract II 致謝 IV 目錄 V 表目錄 VII 圖目錄 VIII 符號表 XIV 第一章 緒論 1 1-1 研究動機與目的 1 1-2 研究方法與流程 2 第二章 文獻回顧與基本理論 4 2-1 前人研究 4 2-2 Biot動態孔隙彈性理論 9 2-3 修正Biot動態孔隙彈性理論 13 第三章 數值理論與分析工具 19 3-1 有限元素分析法 19 3-2 PDEase2D程式 23 3-3 一維壓密模式之驗證 25 3-3-1 網格控制參數Ngrid之選定 29 3-3-2 時間步階法參數Theta之選定 30 第四章 數值分析 31 4-1 輸入參數 31 4-2 數值控制參數 32 4-3 敏感度分析 36 4-4 邊界模式分析 51 4-4-1 A1模型分析 52 4-4-2 A2模型分析 56 4-4-3 A3模型分析 57 4-4-4 A4模型分析 57 4-4-5 A5模型分析 58 4-5 複層模式分析 64 第五章 案例研究 86 5-1 濁水溪沖積扇之水文地質 86 5-2 分析剖面之模式建立 90 5-3 模擬結果 96 5-3-1 模式A 97 5-3-2 模式B 101 5-3-3 模式C 105 第六章 結論與建議 110 6-1 結論 110 6-2 建議 111 參考文獻 112 附錄A 二維動態孔彈理論關係式推導 115 附錄B 敏感度分析圖 118 附錄C 各觀測站實際觀測水位值與案例研究之分析結果 137

    [1] Biot, M. A., General Theory of Three-Dimensional Consolidation, Journal of Applied Physics, 12, 155-164, 1941.
    [2] Biot, M. A., Mechanics of Deformation and Acoustic Propagation in Porous Media, Journal of Applied Physics, Vol.33, No.4, 1962.
    [3] Chia, Y. P., Y. S. Wang, J. J. Chiu, and C. W. Lin, Changes of groundwater level due to the 1999 Chi-Chi earthquake in the Choshui river alluvial fan in Taiwan, Bulletin of the Seismological Society of America, 91(5), 1062-1068, 2001.
    [4] Cooper, H. H., J. D. Bredehoeft, I. S. Papadopulos, and R. R. Bennett, The Response of Well-Aquifer Systems to Seismic Waves, J. Geophys. Res., 70, 3915-3926, 1965.
    [5] Das, B. M., Advanced Soil Mechanics, Second Edition, Taylor & Francis, 1997.
    [6] Das, B. M., Principles of Geotechnical Engineering, Fourth Edition, PWS Publishing Company, 1998.
    [7] Dmovska, R., G. Zheng, and J. R. Rice, Seismicity and deformation at convergent margins due to heterogeneous coupling, Journal of Geophysical Research, Vol.101, 3015-3029, 1996.
    [8] Grecksch, G., F. Roth, and H. J. Kumpel, Coseismic well-level changes due to the 1992 Roermond earthquake compared to static deformation of half-space solutions, Geophys. J. Int. 138, 470-478, 1999.
    [9] Green, D. H., and H. F. Wang, Fluid pressure response to undrained compression in saturates sedimentary rock, Geophysics, 51(4), 948-956, 1986.
    [10] Green, D. H., and H. F. Wang, Specific Storage as a Poroelastic Coefficient, Water Resources Research, Vol. 26, No.7, 1631-1637, 1990.
    [11] Kumpel, H. J., Poroelasticity: parameters reviewed, Geophysical Journal International, 105, 783-799, 1991.
    [12] Ohno, M., H. Wakita, and K. Kanjo, A water well sensitive to seismic wave, Geophysical Research Letters, Vol. 24, 691-694, 1997.
    [13] Okada, Y., Internal deformation due to shear and tensile faults in a half-space, Bulletin of the Seismological Society of America, 82(2), 1018-1040, 1992.
    [14] Roeloffs, E. A., S. S. Burford, F. S. Riley, and A. W. Records, Hydrologic effects on water level changes associated with episodic fault creep near Parkfield, California, Journal of Geophysical Research, 94(B9), 12387-12402, 1989.
    [15] Roeloffs, E. A., Poroelastic Techniques in The Study of Earthquake-Related Hydrologic Phenomena, in Advances in Geophysics, edited by R. Dmowska, Academic, San Diego, Calif, Vol. 137, 135-195, 1996.
    [16] Roeloffs, E. A., Persistent water level changes in a well near Parkfield, California. Due to local and distant earthquakes, Journal of Geophysical Research, 103(B1), 869-889, 1998.
    [17] Ge, S. and S. C., Stover, Hydrodynamic response to strike- and dip-slip faulting in a half-space, Journal of Geophysical Research, 105(B11), 25,513-25,524, 2000.
    [18] Rojstaczer, S., and S. Wolf, Permeability changes associated with large earthquakes: An example from Loma Prieta, California, Geology, Vol.20, 211-214, 1992.
    [19] Wang, H. F., Quasi-static poroelastic parameters in rock and their geophysical applications, Pure and Applied Geophysics, 141, 269-286, 1993.
    [20] Wang, H. F., Effects of deviatoric stress on undrained pore pressure response to fault slip, Journal of Geophysical Research, Vol.102, No. B8, 17943-17950, 1997.
    [21] Wang, C.Y., L. H., Cheng, C. V., Chin, and S. B., Yu, Coseismic hydrologic response of an alluvial fan to the 1999 Chi-Chi earthquake, Taiwan, Bulletin of the Seismological Society of America, 29(9), 831-834, 2001.
    [22] Zienkiewicz, O. C., C. T. Chang, and P. Bettess, Drained, undrained, consolidating and dynamic behaviour assumptions in soils, Geotechnique, 30(4), 385-395, 1980.
    [23] 呂志宗,多孔介質彈性力學之基本解與壓密沉陷解析,國立成功大學土木工程學系研究所博士論文,1991。
    [24] 李民,集集地震前後與其同震水文變化研究,國立台灣大學地質科學研究所博士論文,2002。
    [25] 陳棋炫,地層受壓導致有效應力與孔隙水壓變化之耦合分析,國立台灣大學地質科學研究所碩士論文,2001。
    [26] 陳佳杏,集集地震前後濁水溪沖積扇地下水水位變化之探討,國立台灣大學地質科學研究所碩士論文,2002。
    [27] 經濟部中央地質調查所,台灣地區地下水觀測網第一期計劃(81~87年度)之濁水溪沖積扇水文地質調查研究總報告,1999。

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