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Groundwater flow to a pumping well in a sloping fault zone unconfined aquifer
Author(s) -
Huang ChingSheng,
Yang ShawYang,
Yeh HundDer
Publication year - 2014
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1002/2013wr014212
Subject(s) - aquifer , hydraulic head , geology , water table , slug test , aquifer test , groundwater , boundary value problem , sine and cosine transforms , groundwater flow equation , geotechnical engineering , head (geology) , groundwater flow , soil science , laplace transform , mechanics , geomorphology , mathematics , fourier transform , mathematical analysis , fourier analysis , physics , groundwater recharge , short time fourier transform
This study develops a mathematical model for simulating the hydraulic head distribution in response to pumping in a sloping fault zone aquifer under a water table boundary condition. A two‐dimensional equation with a sink term representing the pumping is used for describing the head distribution in the aquifer. In addition, a first‐order free surface equation is adopted to represent the change in water table at the outcrop. The analytical solution of the model, derived by the Laplace and finite Fourier cosine transforms, is expressed in terms of a double series. A finite difference solution within a deformable grid framework is developed to assess the solution obtained by specifying the free surface equation at the outcrop. Based on the analytical solution, we have found that the model's prediction tends to overestimate drawdown in a late pumping period. The temporal head distribution is independent of the aquifer slope if the water table change is small, and exhibits a double‐humped shape due to the effect of the free surface. The temporal drawdown predicted from the analytical solution is further compared with those measured from a pumping test conducted in northern Portugal.