Record number :
1099896
Title of article :
New solutions to the constant-head test performed at a partially penetrating well
Author/Authors :
Y.C. Chang، نويسنده , , H.D. Yeh، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Pages :
8
From page :
90
To page :
97
Abstract :
The mathematical model describing the aquifer response to a constant-head test performed at a fully penetrating well can be easily solved by the conventional integral transform technique. In addition, the Dirichlet-type condition should be chosen as the boundary condition along the rim of wellbore for such a test well. However, the boundary condition for a test well with partial penetration must be considered as a mixed-type condition. Generally, the Dirichlet condition is prescribed along the well screen and the Neumann type no-flow condition is specified over the unscreened part of the test well. The model for such a mixed boundary problem in a confined aquifer system of infinite radial extent and finite vertical extent is solved by the dual series equations and perturbation method. This approach provides analytical results for the drawdown in the partially penetrating well and the well discharge along the screen. The semi-analytical solutions are particularly useful for the practical applications from the computational point of view.
Keywords :
Semi-analytical solution , Groundwater , Dual series equations , perturbation method , Confined aquifer , Mixed boundary value problem
Journal title :
Journal of Hydrology
Serial Year :
2009
Link To Document :
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