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DOI | 10.1029/2018WR023893 |
Analysis of Unconfined Flow Induced by Constant Rate Pumping Based on the Lagging Theory | |
Lin, Ye-Chen1; Huang, Ching-Sheng2; Yeh, Hund-Der1 | |
2019-05-01 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2019 |
卷号 | 55期号:5页码:3925-3940 |
文章类型 | Article |
语种 | 英语 |
国家 | Taiwan; Peoples R China |
英文摘要 | This study proposes a new mathematical model for describing the drawdown distribution due to a constant rate pumping (CRP) in an unconfined aquifer considering the lagging theory. We introduce two lag times in Darcy's law and in turn in a free surface equation to reflect the effects of the capillary fringe and the capillary suction on the water table motion. The present free surface equation can reduce to those used in previous studies. The Laplace and Weber transform methods are used to derive the semianalytical solution to the model including the effect of wellbore storage. The algorithm of numerical Laplace inversion is applied to obtain the transient solution of the model. We find that the delay index, commonly used in the literature, is equivalent to the lag time associated with the effect of the capillary suction. The sensitivity analysis is performed to assess the drawdown behavior in response to the change in each aquifer parameter. The drawdown distributions predicted by the present solution agree fairly well to the field data taken from CRP tests at Cape Cod, Massachusetts; the Canadian Forces Base Borden, Ontario; and Saint Pardon de Conques, Gironde (France). The lag times determined by both CRP tests seem to decrease linearly with increasing distance on the logarithmic scale from the pumping well. The consideration of two lag times considerably improves the accuracy in estimated specific yields. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000474848500017 |
WOS关键词 | GROUNDWATER-FLOW ; SOLUTE TRANSPORT ; SATURATED FLOW ; AQUIFERS ; WELL ; DRAINAGE ; MODELS ; SCALE ; YIELD ; SAND |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/183125 |
专题 | 资源环境科学 |
作者单位 | 1.Natl Chiao Tung Univ, Inst Environm Engn, Hsinchu, Taiwan; 2.Hohai Univ, Ctr Global Change & Water Cycle, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing, Jiangsu, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Ye-Chen,Huang, Ching-Sheng,Yeh, Hund-Der. Analysis of Unconfined Flow Induced by Constant Rate Pumping Based on the Lagging Theory[J]. WATER RESOURCES RESEARCH,2019,55(5):3925-3940. |
APA | Lin, Ye-Chen,Huang, Ching-Sheng,&Yeh, Hund-Der.(2019).Analysis of Unconfined Flow Induced by Constant Rate Pumping Based on the Lagging Theory.WATER RESOURCES RESEARCH,55(5),3925-3940. |
MLA | Lin, Ye-Chen,et al."Analysis of Unconfined Flow Induced by Constant Rate Pumping Based on the Lagging Theory".WATER RESOURCES RESEARCH 55.5(2019):3925-3940. |
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