Mathematical Implications of Hydrogeological Conditions: Modelling for Aquifer Parameters Determination

Formulations of natural hydrogeological phenomena have been derived, from experimentation and observation of Darcy fundamental law. Mathematical methods are also been applied to expand on these formulations, but the management of complexities which relate to subsurface heterogeneity is yet to be developed into better models. This study employs a thorough approach to modelling flow in an aquifer (a porous medium) with phenomenological parameters such as Transmissibility and Storage Coefficient on the basis of mathematical arguments. An overview of the essential components of mathematical background and a basic working knowledge of groundwater flow is presented. Equations obtained through the modelling process were used to separate variables and solve hypothetical problems. Based on finite-difference conservative scheme the essential components of aquifer were determined by solving problem of groundwater flow in a porous medium.