Mathematical Model of Unsteady Groundwater Flow Through Aquifers and Calibration Via a Non-Linear Optimization Technique

In this study, the general partial differential equation of unsteady groundwater flow through non-homogeneous and anisotropic aquifer was solved by the fully implicit finite difference method with control volume approach. The calibration of permeability and storage coefficients as model parameters was performed by a transformation technique and application of Powell's non-linear optimization method. The developed model has been found efficient in terms of convergence and accuracy. Capability of the model, has also been demonstrated by being applied to a real aquifer.  

Keywords:

Nonhomogeneous , Anstoropic , aquifer , Transmissivity , storage coefficient , optimization , Objective Function , Constraint , Claibration , Control Volume Approach