DOI: 10.5194/hess-20-1225-2016
Scopus记录号: 2-s2.0-84961988053
论文题名: Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate in unconfined aquifers
作者: Chang C ; -H ; , Huang C ; -S ; , Yeh H ; -D
刊名: Hydrology and Earth System Sciences
ISSN: 10275606
出版年: 2016
卷: 20, 期: 3 起始页码: 1225
结束页码: 1239
语种: 英语
Scopus关键词: Aquifers
; Groundwater
; Groundwater flow
; Groundwater resources
; Hydrogeology
; Integral equations
; Laplace transforms
; Sensitivity analysis
; Dimensionless parameters
; Governing equations
; Storage coefficient
; Three-dimensional flow
; Transient groundwater flow
; Two-dimensional flow
; Unconfined aquifers
; Vertical hydraulic conductivities
; Recharging (underground waters)
; aquifer
; groundwater flow
; hydraulic conductivity
; hydraulic head
; Laplace transform
; recharge
; sensitivity analysis
; three-dimensional flow
; two-dimensional flow
; unconfined aquifer
; water table
英文摘要: Most previous solutions for groundwater flow induced by localized recharge assumed either aquifer incompressibility or two-dimensional flow in the absence of the vertical flow. This paper develops a new three-dimensional flow model for hydraulic head variation due to localized recharge in a rectangular unconfined aquifer with four boundaries under the Robin condition. A governing equation describing spatiotemporal head distributions is employed. The first-order free-surface equation with a source term defining a constant recharge rate over a rectangular area is used to depict water table movement. The solution to the model for the head is developed with the methods of Laplace transform and double-integral transform. Based on Duhamel's theorem, the present solution is applicable to flow problems accounting for arbitrary time-dependent recharge rates. The solution to depth-average head can then be obtained by integrating the head solution to elevation and dividing the result by the aquifer thickness. The use of a rectangular aquifer domain has two merits. One is that the integration for estimating the depth-average head can be analytically achieved. The other is that existing solutions based on aquifers of infinite extent can be considered as special cases of the present solution before the time when the aquifer boundary had an effect on head predictions. With the help of the present solution, the assumption of neglecting the vertical flow effect on the temporal head distribution at an observation point outside a recharge region can be assessed by a dimensionless parameter related to the aquifer horizontal and vertical hydraulic conductivities, initial aquifer thickness, and the shortest distance between the observation point and the edge of the recharge region. The validity of assuming aquifer incompressibility is dominated by the ratio of the aquifer specific yield to its storage coefficient. In addition, a sensitivity analysis is performed to investigate the head response to the change in each of the aquifer parameters. © 2016 Author(s). Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/78883
Appears in Collections: 气候变化事实与影响
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作者单位: Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
Recommended Citation:
Chang C,-H,, Huang C,et al. Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate in unconfined aquifers[J]. Hydrology and Earth System Sciences,2016-01-01,20(3)