Estimating Unconfined Aquifer Parameters Based on Groundwater Tidal Effect
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摘要: 目前对潜水含水层地下水潮汐效应和水文地质参数求解方法的研究相对较少.通过对福建古雷半岛滨海潜水含水层地下水潮汐效应和海水潮汐动态的观测, 运用Fourier频谱分析方法确定了研究区海水潮汐波动方程(波动特征参数), 并以此作为地下水的边界条件, 推导了潜水含水层地下水潮汐效应的波动方程, 利用最小二乘法以地下水水位波动观测值为目标函数对潜水含水层的渗透系数与重力给水度的比值进行了反演识别, 为类似地区水文地质参数的确定提供了借鉴, 也为该区后续地下水中溶质迁移规律的研究奠定了基础.Abstract: Studies on the groundwater tidal effect in unconfined aquifer and the method of calculating unconfined aquifer hydrogeological parameters are relatively inefficient. In this study, spectral analysis is used to obtain an analytical formula for tidal level description by firstly observing groundwater table in a well of a coastal unconfined aquifer and tidal level in Gulei peninsula. Then the formula is used as the boundary condition of groundwater flow to deduce the solution of groundwater table in the unconfined aquifer. At last the least square method is used to calculate the hydrogeological parameters in the unconfined aquifer, which provides a reference to similar areas and gives basic information for the study on the groundwater solute transport in this area.
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Key words:
- unconfined aquifer /
- parameter-calculation method /
- groundwater /
- tidal effect
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表 1 海潮数据的谱分析及拟合结果
Table 1. The tide data of spectrum analysis and the fitting results
j 1 2 3 4 ωi(r/h) 0.132 7 0.221 2 0.265 5 0.510 5 Ai(m) 0.050 0 0.620 0 0.950 0 1.320 0 φi(r) 0.157 1 1.099 6 5.654 9 5.906 2 -
[1] Asadi-Aghbolaghi,M.,Chuang,M.H.,Yeh,H.D.,2014.Groundwater Response to Tidal Fluctuation in an Inhomogeneous Coastal Aquifer-Aquitard System.Water Resources Management,28(11):3591-3617.doi: 10.1007/s11269-014-0689-9 [2] Chang,Y.C.,Jeng,D.S.,Yeh,H.D.,2010.Tidal Propagation in an Oceanic Island with Sloping Beaches.Hydrology and Earth System Sciences,14(7):1341-1351.doi: 10.5194/hess-14-1341-2010 [3] Chen,B.,Wang,K.,Liu,J.,et al.,2016.The Impact of Super Typhoon Saomai (0608) on the Offshore Environment near the Yangtze Estuary.Earth Science,41(8):1402-1412 (in Chinese with English abstract). [4] Dong,L.Y.,Chen,J.Y.,Fu,C.S.,et al.,2012.Analysis of Groundwater-Level Fluctuation in a Coastal Confined Aquifer Induced by Sea-Level Variation.Hydrogeology Journal,20(4):719-726.doi: 10.1007/s10040-012-0838-2 [5] Erskine,A.D.,1991.The Effect of Tidal Fluctuation on a Coastal Aquifer in the UK.Ground Water,29(4):556-562.doi: 10.1111/j.1745-6584.1991.tb00547.x [6] Guo,Q.N.,Li,H.L.,Boufadel,M.C.,etal.,2007.Tide-Induced Groundwater Head Fluctuationin Coastal Multi-Layered Aquifer Systemswitha Submarine Outlet-Capping.Advances in Water Resources,30(8):1746-1755.doi:http://dx.doi.org/ 10.1016/j.advwatres.2007.01.003 [7] Guo,H.P.,Jiao,J.J.,Li,H.L.,2010.Groundwater Response to Tidal Fluctuation in a Two-Zone Aquifer.Journal of Hydrology,381(3-4):364-371.doi: 10.1016/j.jhydrol.2009.12.009 [8] Huang,F.K.,Chuang,M.H.,Wang,G.S.,et al.,2015.Tide-Induced Groundwater Level Fluctuation in a U-Shaped Coastal Aquifer.Journal of Hydrology,530:291-305.doi: 10.1016/j.jhydrol.2015.09.032 [9] Jacob,C.E.,1950.Flow of Groundwater.In:Rouse,H.,ed.,Engineering Hydraulics.John Wiley,New York,321-386. [10] Jiao,J.J.,Tang,Z.H.,1999.An Analytical Solution of Groundwater Response to Tidal Fluctuation in a Leaky Confined Aquifer.Water Resources Research,35(3):747-751.doi: 10.1029/1998wr900075 [11] Li,G.M.,Chen,C.X.,1991.Determining the Length of Confined Aquifer Roof Extending under the Sea by the Tidal Method.Journal of Hydrology,123(1-2):97-104.doi:http://dx.doi.org/ 10.1016/0022-1694(91)90071-O [12] Li,G.M.,Chen,C.X.,1991.The Determination of the Boundary of Confined Aquifer Extending under the Sea by Analysis of Groundwater Level Fluctuations.Earth Science,16(5):581-589 (in Chinese with English abstract). http://en.cnki.com.cn/Article_en/CJFDTotal-DQKX199105013.htm [13] Li,H.L.,Jiao,J.J.,2001.Tide-Induced Groundwater Fluctuation in a Coastal Leaky Confined Aquifer System Extending under the Sea.Water Resources Research,37(5):1165-1171.doi: 10.1029/2000wr900296 [14] Li,H.L.,Jiao,J.J.,2002.Analytical Solutions of Tidal Groundwater Flow in Coastal Two-Aquifer System.Advances in Water Resources,25(4):417-426.doi: 10.1016/s0309-1708(02)00004-0 [15] Li,H.L.,Jiao,J.J.,Luk,M.,et al.,2002.Tide-Induced Groundwater Level Fluctuation in Coastal Aquifers Bounded by L-Shaped Coastlines.Water Resources Research,38(3):6-1-6-8.doi: 10.1029/2001wr000556 [16] Li,H.L.,Jiao,J.J.,Tang,Z.H.,2006.Semi-Numerical Simulation of Groundwater Flow Induced by Periodic Forcing with a Case-Study at an Island Aquifer.Journal of Hydrology,327(3-4):438-446.doi: 10.1016/j.jhydrol.2005.11.032 [17] Li,H.L.,Li,G.Y.,Cheng,J.M.,et al.,2007a.Tide-Induced Head Fluctuations in a Confined Aquifer with Sediment Covering Its Outlet at the Sea Floor.Water Resources Research,43(3):W03404.doi: 10.1029/2005WR004724 [18] Li,H.L.,Li,L.,Lockington,D.,et al.,2007b.Modelling Tidal Signals Enhanced by a Submarine Spring in a Coastal Confined Aquifer Extending under the Sea.Advances in Water Resources,30(4):1046-1052.doi: 10.1016/j.advwatres.2006.09.004 [19] Nielsen,P.,1990.Tidal Dynamics of the Water Table in Beaches.Water Resources Research,26(9):2127-2134.doi: 10.1029/wr026i009p02127 [20] Song,C.,Zhou,X.,Zhao,J.B.,et al.,2013.Determination of Coastal Aquifer Parameters Based on Measurements of Asymmetrical Tidal Fluctuations in Groundwater Levels.Geoscience,27(6):1471-1476 (in Chinese with English abstract). [21] Sun,H.A.,1997.A Two-Dimensional Analytical Solution of Groundwater Response to Tidal Loading in an Estuary.Water Resources Research,33(6):1429-435.doi: 10.1029/97WR00482 [22] Tang,Z.H.,Jiao,J.J.,2001.A Two-Dimensional Analytical Solution of Groundwater Flow in a Leaky Confined Aquifer System near Open Tidal Water.Hydrological Processes,15(4):573-585.doi: 10.1002/hyp.166 [23] Wang,C.Y.,Li,H.L.,Wan,L.,et al.,2014.Closed-Form Analytical Solutions Incorporating Pumping and Tidal Effects in Various Coastal Aquifer Systems.Advances in Water Resources,69:1-12.doi: 10.1016/j.advwatres.2014.03.003 [24] Wang,L.H.,Li,G.M.,Dong,Y.H.,et al.,2012.Estimation of Shallow Aquifer Parameters Using Groundwater Level Tidal Fluctuations at Two Boreholes in a Coastal Aquifer.Hydrogeology & Engineering Geology,39(4):7-11,37 (in Chinese with English abstract). http://cn.bing.com/academic/profile?id=492e40493db52160438cf1e936b7cbef&encoded=0&v=paper_preview&mkt=zh-cn [25] Xia,Y.Q.,Li,H.L.,2009.The Estimation of Aquifer Parameters Using Tidal Effect in a Coastal Aquifer:A Case Study in Beihai Peninsula,Guangxi China.Earth Science Frontiers,16(6):276-281 (in Chinese with English abstract). doi: 10.1016/S1872-5791(08)60121-9 [26] Xu,J.J.,Wei,J.,2001.Spectrum Analysis of Dynamic Data.Geotechnical Investigation & Surveying,(5):52-54 (in Chinese with English abstract). [27] Yang,Y.,Li,H.L.,Xia,Y.Q.,et al.,2008.Modelling Tidal Signals Enhanced by a Submarine Spring in a Coastal Confined Aquifer Extending under the Sea Finitely.Groundwater,30(2):9-13,17 (in Chinese with English abstract). http://cn.bing.com/academic/profile?id=ecd50208ec5f13167106b5d7a670739e&encoded=0&v=paper_preview&mkt=zh-cn [28] Yeh,H.D.,Huang,C.S.,Chang,Y.C.,et al.,2010.An Analytical Solution for Tidal Fluctuations in Unconfined Aquifers with a Vertical Beach.Water Resources Research,46(10):W10535.doi: 10.1029/2009wr008746 [29] 陈斌, 王凯, 刘健, 等, 2016.0608号台风“桑美”过境前后对长江口外海域环境的影响.地球科学, 41(8): 1402-1412. http://www.earth-science.net/WebPage/Article.aspx?id=3335 [30] 李国敏, 陈崇希, 1991.利用岸边水头动态确定含水层在临海方向上的边界.地球科学, 16(5): 581-589. http://www.cnki.com.cn/Article/CJFDTOTAL-DQKX199105013.htm [31] 宋超, 周训, 赵敬波, 等, 2013.利用不对称的地下水位潮汐波动确定滨海含水层参数.现代地质, 27(6): 1471-1476. http://www.cnki.com.cn/Article/CJFDTOTAL-XDDZ201306027.htm [32] 王礼恒, 李国敏, 董艳辉, 等, 2012.利用观测孔中地下水位潮汐效应计算天津滨海新区含水层参数.水文地质工程地质, 39(4): 7-11,37. http://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201204004.htm [33] 夏玉强, 李海龙, 2009.利用滨海地下水潮汐效应估计含水层参数:以北海半岛为例.地学前缘, 16(6): 276-281. http://www.cnki.com.cn/Article/CJFDTOTAL-DXQY200906036.htm [34] 徐进军, 魏静, 2001.动态数据的谱分析.工程勘察, (5): 52-54. http://www.cnki.com.cn/Article/CJFDTOTAL-GCKC200105016.htm [35] 杨颖, 李海龙, 夏玉强, 等, 2008.海底泉对在海底有限延伸的越流含水层系统中地下水潮汐效应的增强作用.地下水, 30(2): 9-13,17. http://www.cnki.com.cn/Article/CJFDTOTAL-DXSU200802005.htm