Used in hydrogeology, the **groundwater flow equation** is the mathematical relationship which is used to describe the flow of groundwater through an aquifer. The transient flow of groundwater is described by a form of the diffusion equation, similar to that used in heat transfer to describe the flow of heat in a solid (heat conduction). The steady-state flow of groundwater is described by a form of the Laplace equation, which is a form of potential flow and has analogs in numerous fields.

The groundwater flow equation is often derived for a small representative elemental volume (REV), where the properties of the medium are assumed to be effectively constant. A mass balance is done on the water flowing in and out of this small volume, the flux terms in the relationship being expressed in terms of head by using the constituitive equation called Darcy's law, which requires that the flow is slow.

Read more about Groundwater Flow Equation: Mass Balance, Diffusion Equation (transient Flow), Laplace Equation (steady-state Flow), Two-dimensional Groundwater Flow

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**Groundwater Flow Equation**- Two-dimensional Groundwater Flow

... The above

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**groundwater flow equation**, we need both initial conditions (heads at time (t) = 0) and boundary conditions (representing either the physical boundaries of the domain, or ...

...

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