Groundwater Flow in Fractured Rock Matrix: Application of the Forchheimer Model
Volume 10, Issue12 (10 - 2024)
Abstract
Groundwater flow through pores and fractures is driven by both pressure and hydraulic head. Upon this, different models have been developed. In the models, some parameters influencing the pressure and hydraulic
head are embedded. An examination of the flow behaviour of water in pores and fractures must take cognizance
of their roles. This paper studies the groundwater flow through a fractured aquifer using the Forchheimer model, to check the sustainability of any water project that may depend on the groundwater flow. The problem is solved
using the Separation of Variables and Perturbation approaches. Solutions of the hydraulic head are obtained and
presented quantitatively and graphically. The analysis of results shows that the increase in themagnitude of the
specific discharge does not affect the hydraulic head in the flow through the fractured unconfined aquifers, but
causes fluctuation in the hydraulic headin the flow through the fracture running from the confined to the
unconfined aquifer. Furthermore, the increase in the thickness of the sub-layers of the aquifer increases the
hydraulic head in the fractured unconfined aquifers, but causes fluctuation in the hydraulic head structure in the
flow through the fracture running from the confined to the unconfined aquifer.