Groundwater Flow Equation

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 EquationMass Balance, Diffusion Equation (transient Flow), Laplace Equation (steady-state Flow), Two-dimensional Groundwater Flow

Other articles related to "groundwater flow equation, groundwater flow equations, flow, equation, groundwater flow":

Groundwater Flow Equation - Two-dimensional Groundwater Flow
... The above groundwater flow equations are valid for three dimensional flow ... In unconfined aquifers, the solution to the 3D form of the equation is complicated by the presence of a free surface water table boundary condition in addition to solving for the spatial ... problem, even though the governing equation is linear ...
Hydrogeology - Calculation of Groundwater Flow
... To use the groundwater flow equation to estimate the distribution of hydraulic heads, or the direction and rate of groundwater flow, this partial differential equation (PDE) must be solved ... means of analytically solving the diffusion equation in the hydrogeology literature are Laplace, Hankel and Fourier transforms (to reduce the number of dimensions of the PDE ... No matter which method we use to solve the 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 ...
Flow - Other
... Flow (policy debate), a form of note-taking in policy debate Cash flow, the movement of cash into or out of a business, project, or financial product ...
Yamabe Flow
... In differential geometry, the Yamabe flow is an intrinsic geometric flow—a process which deforms the metric of a Riemannian manifold ... It is the negative L2-gradient flow of the (normalized) total scalar curvature, restricted to a given conformal class it can be interpreted as deforming a Riemannian metric to a conformal metric of constant scalar ... It was introduced by Richard Hamilton shortly after the Ricci flow, as an approach to solve the Yamabe problem on manifolds of positive conformal Yamabe invariant ...
MODFLOW - Groundwater Flow Equation - Limitations
... modified version of MODFLOW which is designed for density-dependent groundwater flow and transport) The principal components of anisotropy of the hydraulic conductivity used ... This tensor does not allow non-orthogonal anisotropies, as could be expected from flow in fractures ...

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