Analytical solution of groundwater flow to a constant head well in a wedge shaped aquifer

Laplace domain solutions of discharge for a constant head well in confined and leaky wedge shaped aquifers are obtained. The solutions are derived from constant flux solutions to confined and leaky wedge shaped aquifers following the procedure suggested by Murdoch and franco (1994). The steady state well discharge solution is also obtained following the method suggested by Chen and Stone (1993). The effects of wedge angles in the confined wedge shaped aquifer and the effects of aquitard thickness, hydraulic conductivity, and specific storage in the leaky wedge shaped aquifers are investigated. The results are presented in the form of dimensionless well discharge-dimensionless time type curves. The presented analytical solutions can be used to identify the wedge-shaped aquifer parameters. They may also be employed to determine the variation of flowing artesian well discharge as the result of various combinations of aquifer parameters.

کلیدواژه ها:

Analytical discharge solution ، wedge-shaped aquifer ، constant head well