Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/5797
標題: 不飽和層土壤之水平抽氣井的解析解
Analytical Solution for Horizontal Well in Unsaturated Zone
作者: 鄒明法
Tsou, Ming-Fa
關鍵字: 土壤氣體抽取法
soil vapor extraction
水平井
解析解
拉普拉斯轉換
傅立葉轉換
horizontal well
analytical solution
Laplace transform
Fourier transform
出版社: 環境工程學系所
引用: 中文文獻 土壤及地下水污染整治網,http://sgw.epa.gov.tw/public/index.asp,2013年。 中華民國環境工程學會,「土壤與地下水污染整治:原理與應用」,中華民國環境工程學會,2008年。 板津透,「大気圧変動により引き起こされる地下空気の水平2次元流動に関する計算法」,地質學雜誌第111卷第3號,2005年。 林威州,「加油站土壤及地下水污染整治工程實例探討」,中興工程季刊第106期,2010年。 徐 进、王旭东、刘运航,「地下水向水平井三维流动的有限层分析」,岩土力学第32卷第3期,2011年。 張犍傑,「利用積分轉換求解定水頭部分貫穿井之混合邊界值問題」,博士論文,國立中央大學地球物理研究所,2003年。 張雅琪,「定水頭部分貫穿井混合邊界值問題之研究」,博士論文,國立交通大學環境工程系所,2009年。 詹紅兵、万军伟,「水资源和环境工程中水平井研究简介」,中国地质大学学报第28卷第5期,2003年。 劉明昌,「工程數學學習要訣 下冊」,第13版,文笙書局,2012年。 西文文獻 Baehr, A. L. and M. F. Hult (1991). "Evaluation of Unsaturated Zone Air Permeability Through Pneumatic Tests." Water Resources Research 27(10): 2605-2617. Baehr, A. L. and C. J. Joss (1995). "An Updated Model of Induced Airflow in the Unsaturated Zone." Water Resources Research 31(2): 417-421. Chen, Y.-J., H.-D. Yeh, et al. (2011). "A drawdown solution for constant-flux pumping in a confined anticline aquifer." Journal of Hydrology 405(3–4): 488-500. Ezulike, O. and A. Igbokoyi (2012). "Horizontal well pressure transient analysis in anisotropic composite reservoirs—A three dimensional semi-analytical approach." Journal of Petroleum Science and Engineering 96–97(0): 120-139. Falta, R. W. (1995). "Analytical Solutions for Gas Flow Due to Gas Injection and Extraction from Horizontal Wells." Ground Water 33(2): 235-246. Falta, R. W. (1996). "A Program for Analyzing Transient and Steady-State Soil Gas Pump Tests." Ground Water 34(4): 750-755. Farina, L., Y. Ding, et al. (2000). "Transient pressure solution for a horizontal well in a petroleum reservoir by boundary integral methods." International Journal for Numerical Methods in Engineering 49(5): 669-679. Fen, C. S., H. C. Cheng, et al. (2008). "An effective response surface-based optimisation approach for soil vapour extraction system design." Civil Engineering and Environmental Systems 25(3): 227-243. Fen, C., Chan, C., and Cheng, H. (2009). "Assessing a Response Surface-Based Optimization Approach for Soil Vapor Extraction System Design." J. Water Resources Planning and Management, 135(3), 198–207. Hunt, B. and J. Massmann (2000). "Vapor Flow to Trench in Leaky Aquifer." Journal of Environmental Engineering 126(4): 375-380. Huang, C.-S., Y.-L. Chen, et al. (2011). "A general analytical solution for flow to a single horizontal well by Fourier and Laplace transforms." Advances in Water Resources 34(5): 640-648. Huang, C.-S., P.-R. Tsou, et al. (2012). "An analytical solution for a radial collector well near a stream with a low-permeability streambed." Journal of Hydrology 446–447(0): 48-58. Massmann, J. (1989). "Applying Groundwater Flow Models in Vapor Extraction System Design." Journal of Environmental Engineering, 115(1), 129–149. Park, E. and H. Zhan (2003). "Hydraulics of horizontal wells in fractured shallow aquifer systems." Journal of Hydrology 281(1–2): 147-158. Perina, T. and T.-C. Lee (2005). "Steady-State Soil Vapor Extraction from a Pressure-Controlled or Flow-Controlled Well." Ground Water Monitoring & Remediation 25(3): 63-72. Perina, T. and T.-C. Lee (2007). "Transient Soil Vapor Extraction from a Pressure-Controlled Well." Ground Water Monitoring & Remediation 27(1): 47-55. Park, E. and H. Zhan (2003). "Hydraulics of horizontal wells in fractured shallow aquifer systems." Journal of Hydrology 281(1–2): 147-158. Sun, D. and H. Zhan (2006). "Flow to a horizontal well in an aquitard–aquifer system." Journal of Hydrology 321(1–4): 364-376. Tsou, P. R., Z. Y. Feng, et al. (2010). "Stream depletion rate with horizontal or slanted wells in confined aquifers near a stream." Hydrology and Earth System Sciences 14(8): 1477-1485. USEPA.(2004). "Performance monitoring of MNA remedies for VOCs in groundwater", EPA/600/R/04/027, Washington DC. Sawyer, C. S. and M. Kamakoti (1998). "Optimal flow rates and well locations for soil vapor extraction design." Journal of Contaminant Hydrology 32(1–2): 63-76. Wen, Z., G. Huang, et al. (2009). "A numerical solution for non-Darcian flow to a well in a confined aquifer using the power law function." Journal of Hydrology 364(1–2): 99-106. Yeh, H.-D. and C.-C. Kuo (2010). "An analytical solution for heterogeneous and anisotropic anticline reservoirs under well injection." Advances in Water Resources 33(4): 419-429. Yeh, H.-D. and Y.-C. Chang (2013). "Recent advances in modeling of well hydraulics." Advances in Water Resources 51(0): 27-51. Zhan, H., L. V. Wang, et al. (2001). "On the horizontal-well pumping tests in anisotropic confined aquifers." Journal of Hydrology 252(1–4): 37-50. Zhan, H. and V. A. Zlotnik (2002). "Groundwater flow to a horizontal or slanted well in an unconfined aquifer." Water Resources Research 38(7): 13-11-13-11.
摘要: 工業廢水、家庭污水、農業污染排放及固體廢棄物若沒有適當處置,將導致土壤受到污染。為了處理受揮發性有機污染物污染的土壤,常用的是土壤氣體抽取法(soil vapor extraction, SVE)。SVE為現地處理方法,是針對不飽和層中土壤含有揮發性較高之污染物的整治方法,具有設備取得容易、設置容易、對場址擾動小、高效率、低成本、且易與其他整治技術結合及增加生物分解速率等優點。設置SVE必需了解污染場址土壤中氣流移動與氣壓變化、孔隙率、土壤滲透係數及抽氣影響半徑,才能有效率的施行污染整治;以上的參數通常由解析模式與實場抽氣試驗而得。因此,藉由監測井的數據並搭配解析模式,即可較容易的獲得相關地質參數來進行後續整治設計的工作。 本研究發展一解析模式,分析水平井於不飽和層因抽氣所造成的氣壓變化。使用傅立葉轉換與拉普拉斯轉換的方法,對控制方程式、初始及邊界條件轉換而求得解析解。模式的水平邊界可分為有限與無限遠條件,地表邊界可分為未覆蓋、覆蓋及較符合實際情況的低滲漏條件。模式驗證方面,解析模式與先前研究的趨勢一致且數值相近,顯示出模式的正確性,而模式中各參數對壓力降的影響皆是合理的趨勢。由於有限域模式為級數型式的解,其收斂特性受抽氣時間及邊界範圍的影響甚大,於寬深比 (h/f)為140的情況,級數取200項會有收斂的結果;於h/f為130時,有限域與無限域解有相同的結果。
Soil vapor extraction (SVE) is an in-situ physical treatment process of volatile contaminants in unsaturated soils. To design SVE, we need to assess vapor movement behavior, pressure variation, soil porosity, permeabilities and radius of influence (ROI). All the above parameters may be obtained with analytical model fitted to pressure measurements under venting or injection tests. In this study, an analytical model was developed to describe gas pressure variation in unsaturated zones due to soil vapor extraction in a horizontal well. Fourier and Laplace transform were employed for the solution. Finite and infinite extent domains in the horizontal direction were considered; and uncovered, covered or leakage situations are alternative for the ground surface for the analytical model. Predictions from the analytical model is consistent with those from Zhan and Park (2002)’s model. However, the analytical solution of finite domain is in series form, it suffers for convergent problem, especially, for small time and large domain in different problems. For the studied case, which has a ratio of length and depth (h/f) of 140, 200 terms for the series are enough for the convergence. Further, the finite domain solution with h/f of 130 is consistent with that of infinite domain solution, implying that the infinite domain solution is appreciable for an h/f of more than 130.
URI: http://hdl.handle.net/11455/5797
其他識別: U0005-2608201313553300
文章連結: http://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-2608201313553300
Appears in Collections:環境工程學系所

文件中的檔案:

取得全文請前往華藝線上圖書館



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.