# 臺灣博碩士論文加值系統

(100.27.249.103) 您好！臺灣時間：2024/08/05 14:55

:::

### 詳目顯示

:

• 被引用:0
• 點閱:235
• 評分:
• 下載:10
• 書目收藏:0
 本篇論文發展出一數學模式，針對一個與河川平行的單一水平井，描述在井抽水時自由含水層中水位的分佈。分別利用傅立葉正弦、傅立葉及拉普拉斯轉換方法，對控制方程式及相關的邊界條件、初始條件進行轉換，求得在拉普拉斯域的解；接著，利用Bromwich積分法對拉普拉斯域解作逆轉，最後依序進行傅立葉、傅立葉正弦作逆轉而求得時間域的解。本文將自由含水層的上層邊界條件，設定為自由液面方程式，但忽略方程式裡的二次微分項。所求得的解，透過達西定律可以推導得河川袪水率的方程式，若河川遠離至不受抽水影響處，則此解析解可用來描述無限延伸的自由含水層之水位分佈。此外，若是把比出水量設定為零，則此解析解可以描述受壓含水層抽水洩降的分佈。
 This thesis develops a mathematical model for describing the head distribution in an unconfined aquifer with a single pumping horizontal well parallel to a fully penetrating stream. The upper boundary of the aquifer is represented by a free water surface equation in which the second-order differential terms are neglected. The Laplace-domain solution of the model is developed by applying Fourier sine, Fourier and Laplace transforms to the governing equation as well as the associated initial and boundary conditions. The time-domain solution is obtained after taking the inverse Laplace transform using the Bromwich integral method and inverse Fourier and Fourier sine transforms. Based on the solution and Darcy’s law, the equation representing the stream depletion rate is then derived. The solution can be used to simulate head distributions in an aquifer infinitely extending in horizontal direction if the well is located far away from the stream. In addition, the solution can also be used to simulate head distributions in confined aquifers if the specific yield is set zero.
 摘要 iABSTRACT ii致謝 ivTABLE OF CONTENTS vLIST OF TABLES viiLIST OF FIGURES viiiNOTATION ixCHAPTER 1 INTRODUCTION 11.1 Background 11.2 Hydraulic parameters 11.3 Literature Review 21.4 Objectives 3CHAPTER 2 METHODS 52.1 Mathematical Model 52.1.1 Governing equation 52.1.2 Boundary conditions 62.1.3 Dimensionless 72.2 Head distribution solutions 82.3 Stream depletion rate 102.4 Evaluation of numerical integration 11CHAPTER 3 RESULTS AND DISCUSSION 133.1 The Effect of specific yield on stream depletion rate 133.2 Effect of well depth on stream depletion rate and head distribution 133.3 Effect of anisotropy on stream depletion rate and head distribution 143.4 Spatial head distribution for various depths 143.5 Potential applications of the present solution 143.6 Comparison of present solution with observed field data 15CHAPTER 4 CONCLUSIONS 17REFERENCES 18APPENDIX A The derivation of equations (17) and (18) 20APPENDIX B The reason of choosing positive roots 0β and nβ 26APPENDIX C The derivation of reducing to Tsou et al.’s solution (Tsou et al., 2010) 27
 Butler, J.J., Zhan, X., Zlotnik, V.A., 2007. Pumping-induced drawdown and stream depletion in a leaky aquifer system. Ground Water, 45(2), 178-186.Chen, X., Yin, Y., 2004. Semianalytical solutions for stream depletion in partially penetrating streams. Ground Water, 42(1), 92-96.Fox, G.A., DuChateau, P., Durnford, D.S., 2002. Analytical Model for aquifer response incorporating distributed stream leakage. Ground Water, 40(4), 378-384.Freeze, R.A., Cherry, J.A., 1979. Groundwater. Prentice-Hall, Inc., New JerseyGerald, C.F., Wheatley, P.O., 2004. Applied numerical analysis 7th ed. California. Addison-Wesley.Hunt, B., 2009. Stream depletion in a two-layer leaky aquifer system, Journal of Hydraulic Engineering, 14, 895-903.Intaraprasong, T., Zhan, H., 2009. A general framework of stream-aquifer interaction caused by variable stream stages. Journal of Hydrology, 373, 112-121.Joshi, S.D., 2003. Cost/Benefits of horizontal wells. Society of Petroleum Engineers, 19-24.Kawecki, M.W., 2000. Transient flow to a horizontal water well. Ground water, 38(6), 842-850.Kompani-Zare, M., Zhan, H., Samani, N., 2005. Analytical study of capture zone of a horizontal well in a confined aquifer. Journal of Hydrology, 307, 48-59.Langseth, D.E., Smyth, A.H., May, J., 2004. A method for evaluating horizontal well pumping tests. Ground water, 42(5), 689-699.Mohamed, A., Rushton, K., 2006. Horizontal wells in shallow aquifers: Field experiment and numerical model. Journal of Hydrology, 329, 98-109.Sun, D., Zhan, H., 2006. Flow to a horizontal well in an aquitard-aquifer system. Journal of Hydrology, 321, 364-376.Tsou, P.R., Feng, Z.Y., Yeh, H.D., Huang, C.S., 2010. Stream depletion rate with horizontal or slanted wells in confined aquifers near a stream. Hydrology and Earth System Sciences, 14, 1477-1485.Yeh, H.D., 1987. Theis' solution by nonlinear least-squares and finite- difference Newton's method. Ground Water, 25(6), 710-715.Yeh, H.D., Huang, C.S., Chang, Y.C., Jeng, D.S., 2010. An analytical solution for tidal fluctuations in unconfined aquifers with a vertical beach. Water Resources Research, 46, W10535.Yeh, H.D., Chang, Y.C., Zlotnik, V.A., 2008. Stream depletion rate and volume of flow in wedge-shape aquifers. Journal of Hydrology, 349, 501-511.Zhan, H., Wang, L.V., Park, E., 2001. On the horizontal-well pumping tests in anisotropic confined aquifers. Journal of Hydrology, 252, 37-50.Zhan, H., Zlotnik, V.A., 2002. Ground water flow to horizontal and slanted wells in unconfined aquifers. Water Resources Research, 38(7), 1108.Zhan, H., Park, E., 2003. Hydraulics of horizontal wells in leaky aquifers. Journal of Hydrology, 281, 129-146.Zlotnik, V.A., Tartakovsky, D.M., 2008. Stream depletion by groundwater pumping in leaky aquifers. Journal of Hydraulic Engineering, 13(2):43-50.
 電子全文
 國圖紙本論文
 連結至畢業學校之論文網頁點我開啟連結註: 此連結為研究生畢業學校所提供，不一定有電子全文可供下載，若連結有誤，請點選上方之〝勘誤回報〞功能，我們會盡快修正，謝謝！
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 無相關論文

 無相關期刊

 1 使用開放原始碼工具實作軟體產品線方法 2 Gigabit Ethernet 電磁干擾對策之分析 3 有限自由含水層中水平井抽水引起的地下水流解析模式 4 以相似暴露族群分析方法建立某LED廠暴露實態 5 TFT LCD 產業的資訊部門之競爭策略之研究- 以A公司為例 6 組織再造、領導方式、與人力資源所採取策略之關聯－以某高科技公司為個案分析 7 以社群網路分析研究社群口碑與股票投資之間的關係 8 軟體市集之軟體授權管理系統 9 以ITIL模型提升企業資訊服務之研究-以某半導體封測廠為例 10 非同餘子群的模型式的同餘性質 11 新穎非對稱型偶氮苯之光響應超分子複合材料 12 垂直與徑向磁場交互作用應用於塗佈技術之研究 13 LED產業垂直整合策略分析-以L公司為例 14 不同網站平台的橫幅廣告效果比較及其與產品類型之關聯探討 15 臺灣銀行業資訊科技治理之量表開發

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室