Abstract:
Groundwater flow models are partial differential equations that relate the dependent variable
groundwater potential or hydraulic head with the independent variables the coordinate flow of
the domain and the time for transient flow with specified boundary condition. There are many
different form of general equation of groundwater flow based on whether the flow is one or two
or three-dimensional, isotropic or anisotropic, transient or steady state and confined aquifer or
unconfined aquifer. The study considered mathematical model in two dimensional steady state
groundwater flows on confined isotropic aquifer. Simulation of the model with appropriate
boundary condition determines the relationship between the hydraulic head and direction of
groundwater flow in the aquifer. The objective of this study was to develop an efficient
algorithm and simulate groundwater flow governed by Laplace and Poisson equations using the
finite difference method. The simulation result indicates that the motion of groundwater is in the
direction of decreasing hydraulic head. Moreover, the simulation result shows the equipotential
line forms circular and the streamline flow makes radial flow near a pumping well. This implies
that groundwater motion is affected by pumping from a well.
