What is Darcy model?

The Darcy model, formulated by Henry Darcy in the 19th century, describes the flow of fluid through porous media. It states that the flow rate is proportional to the pressure gradient and inversely proportional to the viscosity of the fluid, encapsulated in the equation ( Q = -k \frac{dP}{dx} ), where ( k ) is the permeability of the medium. This model is fundamental in fields such as hydrogeology, petroleum engineering, and soil science for understanding groundwater movement and fluid dynamics in porous materials.