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| Approximate engineering solution for predicting groundwater table variation during reservoir drawdown on the basis of the Boussinesq equation | |
Sun JP(孙建平) ; Li JC(李家春); Liu QQ(刘青泉); Zhang HQ(张会琴)
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| Source Publication | Journal of Hydrologic Engineering
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| 2011 | |
| Volume | 16Issue:10Pages:791-797 |
| ISSN | 1084-0699 |
| Abstract | With reservoir drawdown, the groundwater table in the adjacent aquifer falls down correspondingly. It is useful to calculate the groundwater table variation as a function of time during reservoir drawdown for hydraulic and hydrological purposes. The Boussinesq equation with a moving boundary is applied to analyze the groundwater table variation in the unconfined aquifer during reservoir drawdown.This approach assumes a negligible seepage face. Because the moving boundary condition in the mathematical formulation precludes analytical solutions even for the linearized Boussinesq equation, we have transformed the Boussinesq equation into an advection–diffusion equation to address the negligible seepage face and the moving boundary condition. On the basis of the Laplace transformation, we yield an analytical solution of a fixed boundary problem, which is further simplified to upper and lower polynomial solutions for convenient practical use. The polynomial approximate solutions are satisfactorily compared with a number of numerical simulations of the nonlinear Boussinesq equation. The results indicate that the polynomial solutions match well with the numerical solution, but demonstrate that the replacement of the sloped reservoir–aquifer interface by a vertical interface may cause errors of up to 10% of the height of the reservoir drawdown in the prediction of the groundwater table location. On the basis of the polynomial solutions, a methodology is provided to determine the ratio of hydraulic conductivity to specific yield along with a chart for convenient practical use. The limitation of the present study is that the presented solution tends to underestimate the groundwater table with seepage face neglected for rapid drawdown, high specific yield, low hydraulic conductivity, or mildly sloped interface cases. |
| Keyword | Hydrologic Models Groundwater Management Water Table Boussinesq Equations Aquifers Verification Reservoirs |
| Subject Area | 流体力学 ; 渗流 ; 环境流体力学 |
| DOI | 10.1061/(ASCE)HE.1943-5584.0000372 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000296510900004 |
| WOS Keyword | FREE-SURFACE FLOW ; WATER-TABLE ; FLUCTUATIONS ; AQUIFERS ; BEACHES |
| WOS Research Area | Engineering ; Environmental Sciences & Ecology ; Water Resources |
| WOS Subject | Engineering, Civil ; Environmental Sciences ; Water Resources |
| Funding Organization | 国家杰出青年科学基金（10825211）和自然科学基金重点项目（10932012） |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/44595 |
| Collection | 环境力学重点实验室(2009-2011) |
| Corresponding Author | Li JC(李家春) |
| Recommended Citation GB/T 7714 | Sun JP,Li JC,Liu QQ,et al. Approximate engineering solution for predicting groundwater table variation during reservoir drawdown on the basis of the Boussinesq equation[J]. Journal of Hydrologic Engineering,2011,16,10,:791-797. |
| APA | 孙建平,李家春,刘青泉,&张会琴.(2011).Approximate engineering solution for predicting groundwater table variation during reservoir drawdown on the basis of the Boussinesq equation.Journal of Hydrologic Engineering,16(10),791-797. |
| MLA | 孙建平,et al."Approximate engineering solution for predicting groundwater table variation during reservoir drawdown on the basis of the Boussinesq equation".Journal of Hydrologic Engineering 16.10(2011):791-797. |
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