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Analysis of Steady Ground Water Flow Toward Wells in a Confined‐Unconfined Aquifer
Author(s) -
ChongXi Chen,
LiTang Hu,
XuSheng Wang
Publication year - 2006
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.2006.00170.x
Subject(s) - aquifer , slug test , hydraulic head , water well , geology , water table , dimensionless quantity , superposition principle , geotechnical engineering , head (geology) , groundwater , flow (mathematics) , aquifer test , cone of depression , mechanics , groundwater flow , geomorphology , mathematics , mathematical analysis , physics , groundwater recharge
A confined aquifer may become unconfined near the pumping wells when the water level falls below the confining unit in the case where the pumping rate is great and the excess hydraulic head over the top of the aquifer is small. Girinskii’s potential function is applied to analyze the steady ground water flow induced by pumping wells with a constant‐head boundary in a mixed confined‐unconfined aquifer. The solution of the single‐well problem is derived, and the critical radial distance at which the flow changes from confined to unconfined condition is obtained. Using image wells and the superposition method, an analytic solution is presented to study steady ground water flow induced by a group of pumping wells in an aquifer bounded by a river with constant head. A dimensionless function is introduced to determine whether a water table condition exists or not near the pumping wells. An example with three pumping wells is used to demonstrate the patterns of potentiometric surface and development of water table around the wells.