Darb El-Arbeain area lies between long. 29o 00/ and 31o 00/ E and lat. 22o 00/ and 24o 30/ N. In this study the changing rates of the hydraulic parameters are investigated through different pumping rates using the three dimensional finite difference flow model (MODFLOW 2005) to simulate the flow system. The initial aquifer hydraulic parameters are; The average hydraulic gradient is 0.00259, the initial transmissivity value is 1075 m2/day, average hydraulic conductivity is 6.5 M/ day, and average flow rate in the aquifer =0.01683 m/day. Under different pumping rates a general trend is introduced to the rates of changing different hydraulic parameters, and the governing equations.