PDF(1500 KB)
越流含水层系统中渗透系数随深度衰减的抽水试验解析模型
樊娟, 侯恩科, 靳德武, 刘英锋, 田干, 施文光, 王全荣
PDF(1500 KB)
PDF(1500 KB)
越流含水层系统中渗透系数随深度衰减的抽水试验解析模型
Analytical Model of Pumping Tests with Depth-Dependent Hydraulic Conductivity in Leakage Aquifer System
,
传统的抽水试验模型假定含水层的渗透系数是恒定的，然而，由于地质作用等因素的影响，含水层渗透系数存在随深度衰减的现象.建立考虑越流、井储效应和随深度衰减的渗透系数的抽水试验数学模型，并推导了半解析解，其中，假设渗透系数随深度呈指数衰减.系统分析随深度衰减的渗透系数对抽水试验结果的影响.结果表明：含水层渗透系数随深度衰减系数（A）越大，井筒内地下水的降深越大；当含水层渗透系数随深度衰减时，滤水管的位置对抽水试验结果的影响比较显著，滤水管在含水层顶部时的井筒内降深比滤水管在含水层底部时的井筒水位降深要小；传统的抽水试验模型采用井筒水位降深数据反演的常数渗透系数与随深度衰减的渗透系数平均值近似.
The traditional pumping test model typically assumes that the aquifer is a constant, whereas the actual aquifer frequently exhibits depth-dependent hydraulic conductivity due to geological effects and other factors. In this paper, it develops a mathematical model of pumping tests that takes into account leakage, wellbore storage effect, and depth-dependent hydraulic conductivity, and solves the semi-analytical solution, where the depth-dependent hydraulic conductivity represented by an exponential function. The results show that: the greater the attenuation coefficient (A) of depth-dependent hydraulic conductivity, the greater the drawdown in the wellbore and the greater the range of landing funnel caused by pumping. When the hydraulic conductivity decays with depth, the location of the well screen has a significant impact on the pumping test results, the drawdown at the wellbore with the well screen at the upper aquifer location is smaller than the drawdown at the wellbore with the well screen at the lower aquifer location; the estimated hydraulic conductivity is an approximation of the depth-decaying hydraulic conductivity based on drawdown at the wellbore by traditional pumping test model.
抽水试验 / 数值模拟 / 渗透系数 / 越流 / 水文地质.
pumping test / numerical modeling / hydraulic conductivity / leakage / hydrogeology
P641
|
Achtziger-Zupančič,P.,Loew,S.,Mariéthoz,G.,2017.A New Global Database to Improve Predictions of Permeability Distribution in Crystalline Rocks at Site Scale.Journal of Geophysical Research: Solid Earth,122(5): 3513-3539.https://doi.org/10.1002/2017jb014106
|
|
Cassiani,G.,Kabala,Z.J.,Medina,M.A.,1999.Flowing Partially Penetrating Well: Solution to a Mixed-Type Boundary Value Problem.Advances in Water Resources,23(1):59-68.https://doi.org/10.1016/s0309-1708(99)00002-0
|
|
Chen,C.,Wen,Z.,Zhou,H.,et al.,2020.New Semi-Analytical Model for an Exponentially Decaying Pumping Rate with a Finite-Thickness Skin in a Leaky Aquifer.Journal of Hydrologic Engineering,25(8).https://doi.org/10.1061/(asce)he.1943-5584.0001956
|
|
Chen,C.X.,2020.Improvement of Dupuit Model:With Infiltration Recharge.Hydrogeology & Engineering Geology,47(5):1-4 (in Chinese with English abstract).
|
|
Chen,C.X.,Tang,Z.H.,2021.Improvement of the Theis Unsteady Well Flow Model with Infiltration Recharge in a Phreatic Aquifer.Hydrogeology & Engineering Geology,48(6):1-12 (in Chinese with English abstract).
|
|
Chen,Y.F.,Ling,X.M.,Liu,M.M.,et al.,2018.Statistical Distribution of Hydraulic Conductivity of Rocks in Deep-Incised Valleys,Southwest China.Journal of Hydrology,566:216-226.https://doi.org/10.1016/j.jhydrol.2018.09.016
|
|
Hantush,M.S.,1964.Advances in Hydroscience.Elsevier,Amsterdam,281-432.https://doi.org/10.1016/b978-1-4831-9932-0.50010-3
|
|
Hantush,M.S.,1960.Modification of the Theory of Leaky Aquifers.Journal of Geophysical Research,65(11):3713-3725.https://doi.org/10.1029/jz065i011p03713
|
|
Kabala,Z.J.,Cassiani,G.,1997.Well Hydraulics with the Weber-Goldstein Transforms.Transport in Porous Media,29(2):225-246.https://doi.org/10.1023/A:1006542203102
|
|
Lai,R.Y.S.,Su,C.W.,1974.Nonsteady Flow to a Large Well in a Leaky Aquifer.Journal of Hydrology,22(3-4):333-345.https://doi.org/10.1016/0022-1694(74)90085-7
|
|
Lin,Y.C.,Yang,S.Y.,Fen,C.S.,et al.,2016.A General Analytical Model for Pumping Tests in Radial Finite Two-Zone Confined Aquifers with Robin-Type Outer Boundary.Journal of Hydrology,540: 1162-1175.https://doi.org/10.1016/j.jhydrol.2016.07.028
|
|
Louis, C. ，1972. Rock Hydraulics. In: Müller, L. ，ed.，Rock Mechanics. International Centre for Mechanical Sciences. Springer, Vienna.
|
|
Luo,Y.,Liu,P.,Chen,W.X.,et al.,2023.Pumping Test to Interpret Karst Aquifer Types and Hydrogeological Parameters.Journal of China Hydrology,43(5):39-44 (in Chinese with English abstract).
|
|
Mathias,S.A.,Todman,L.C.,2010.Step-Drawdown Tests and the Forchheimer Equation.Water Resources Research,46(7):W07514.https://doi.org/10.1029/2009wr008635
|
|
Novakowski,K.S.,1989.A Composite Analytical Model for Analysis of Pumping Tests Affected by Well Bore Storage and Finite Thickness Skin.Water Resources Research,25(9):1937-1946.https://doi.org/10.1029/wr025i009p01937
|
|
Papadopulos,I.S.,Cooper,H.H.Jr.,1967.Drawdown in a Well of Large Diameter.Water Resources Research,3(1):241-244.https://doi.org/10.1029/wr003i001p00241
|
|
Saar,M.O.,Manga,M.,2004.Depth Dependence of Permeability in the Oregon Cascades Inferred from Hydrogeologic,Thermal,Seismic,and Magmatic Modeling Constraints.Journal of Geophysical Research:Solid Earth,109(B4).https://doi.org/10.1029/2003jb002855
|
|
Sakata,Y.,Ikeda,R.,2013.Depth Dependence and Exponential Models of Permeability in Alluvial-Fan Gravel Deposits.Hydrogeology Journal,21(4):773-786.https://doi.org/10.1007/s10040-013-0961-8
|
|
Theis,C.V.,1935.The Relation between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of a Well Using Ground-Water Storage.Transactions,American Geophysical Union,16(2): 519-524.https://doi.org/10.1029/tr016i002p00519
|
|
Tsai,C.S.,Yeh,H.D.,2012.Wellbore Flow-Rate Solution for a Constant-Head Test in Two-Zone Finite Confined Aquifers.Hydrological Processes,26(21): 3216-3224.https://doi.org/10.1002/hyp.8322
|
|
Wan,L.,Jiang,X.W.,Wang,X.S.,2010.A Common Regularity of Aquifers: The Decay in Hydraulic Conductivity with Depth.Geological Journal of China Universities,16(1):7-12 (in Chinese with English abstract).
|
|
Wang,Q.R.,Shi,W.G.,Zhan,H.B.,et al.,2018.Models of Single-Well Push-Pull Test with Mixing Effect in the Wellbore.Water Resources Research,54(12):10155-10171.https://doi.org/10.1029/2018wr023317
|
|
Wang,Q.R.,Zhan,H.B.,2015.On Different Numerical Inverse Laplace Methods for Solute Transport Problems.Advances in Water Resources,75:80-92.https://doi.org/10.1016/j.advwatres.2014.11.001
|
|
Wei,S.Y.,Wan,J.W.,Sun,W.,et al.,2022.Identification of Hydrogeological Parameter in Double-Porosity Fractured Aquifer Based on Single-Well Pumping Test.Earth Science(in press)(in Chinese with English abstract).
|
|
Wang,X.S.,Jiang,X.W.,Wan,L.,et al.,2009.Evaluation of Depth-Dependent Porosity and Bulk Modulus of a Shear Using Permeability-Depth Trends.International Journal of Rock Mechanics and Mining Sciences,46(7):1175-1181.https://doi.org/10.1016/j.ijrmms.2009.02.002
|
|
Wang,Y.L.,Zhan,H.B.,Huang,K.,et al.,2021.Identification of Non-Darcian Flow Effect in Double-Porosity Fractured Aquifer Based on Multi-Well Pumping Test.Journal of Hydrology,600:126541.https://doi.org/10.1016/j.jhydrol.2021.126541
|
|
Wen,Z.,Huang,G.H.,Zhan,H.B.,2011.Non-Darcian Flow to a Well in a Leaky Aquifer Using the Forchheimer Equation.Hydrogeology Journal,19(3):563-572.https://doi.org/10.1007/s10040-011-0709-2
|
|
Wen,Z.,Huang,G.H.,Zhan,H.B.,et al.,2008.Two-Region Non-Darcian Flow Toward a Well in a Confined Aquifer.Advances in Water Resources,31(5):818-827.https://doi.org/10.1016/j.advwatres.2008.01.014
|
|
Wen,Z.,Huang,G.H.,Liu,Z.T.,et al.,2011.An Approximate Analytical Solution for Two-Region Non-Darcian Flow Toward a Well in a Leaky Aquifer.Earth Science,36(6):1165-1172 (in Chinese with English abstract).
|
|
Yang,S.Y.,Yeh,H.D.,Chiu,P.Y.,2006.A Closed Form Solution for Constant Flux Pumping in a Well under Partial Penetration Condition.Water Resources Research,42(5).https://doi.org/10.1029/2004wr003889
|
|
Yang,S.Y.,Yeh,H.D.,2005.Laplace-Domain Solutions for Radial Two-Zone Flow Equations under the Conditions of Constant-Head and Partially Penetrating Well.Journal of Hydraulic Engineering,131(3):209-216.https://doi.org/10.1061/(asce)0733-9429(2005)131:3(209)
|
|
Zhang,L.,Franklin,J.A.,1993.Prediction of Water Flow into Rock Tunnels:an Analytical Solution Assuming an Hydraulic Conductivity Gradient.International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,30(1):37-46.https://doi.org/10.1016/0148-9062(93)90174-c
|
|
Zheng,G.,Ha,D.,Loaiciga,H.,et al.,2019.Estimation of the Hydraulic Parameters of Leaky Aquifers Based on Pumping Tests and Coupled Simulation/Optimization:Verification Using a Layered Aquifer in Tianjin,China.Hydrogeology Journal,27(8):3081-3095.https://doi.org/10.1007/s10040-019-02021-z
|
|
Zhuang,C.,Li,Y.B.,Zhou,Z.F.,et al.,2022.Effects of Exponentially Decaying Aquitard Hydraulic Conductivity on Well Hydraulics and Fractions of Groundwater Withdrawal in a Leaky Aquifer System.Journal of Hydrology,607:127439.https://doi.org/10.1016/j.jhydrol.2022.127439
|
|
Zhou,Z.F.,2018.Application of the Monoexponential Decay Function on Analyzing Water-Inflow in Underground Boreholes.Journal of Mining & Safety Engineering,35 ( 3 ): 642 - 648 (in Chinese with English abstract).
|
/
| 〈 |
|
〉 |
AI Summary
