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In hydrogeology, groundwater flow is defined as the "part of streamflow that has infiltrated the ground, entered the phreatic zone, and has been (or is at a particular time) discharged into a stream channel or springs; and seepage water." [1] It is governed by the groundwater flow equation. Groundwater is water that is found underground in ...
Groundwater models are used in various water management plans for urban areas. As the computations in mathematical groundwater models are based on groundwater flow equations, which are differential equations that can often be solved only by approximate methods using a numerical analysis, these models are also called mathematical, numerical, or ...
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.
In the aquifer, groundwater flows from points of higher pressure to points of lower pressure, and the direction of groundwater flow typically has both a horizontal and a vertical component. The slope of the water table is known as the “hydraulic gradient”, which depends on the rate at which water is added to and removed from the aquifer and ...
Darcy's law describes steady, one-dimensional groundwater flow using the hydraulic conductivity and the hydraulic gradient: q → = − K ∇ h {\displaystyle {\vec {q}}=-K\nabla h} Groundwater flow equation describes time-varying, multidimensional groundwater flow using the aquifer transmissivity and storativity:
Q is the total groundwater discharge ([L 3 ·T −1]; m 3 /s), K is the hydraulic conductivity of the aquifer ([L·T −1]; m/s), dh/dl is the hydraulic gradient ([L·L −1]; unitless), and A is the area which the groundwater is flowing through ([L 2]; m 2) For example, this can be used to determine the flow rate of water flowing along a plane ...
The hydraulic gradient is a vector gradient between two or more hydraulic head measurements over the length of the flow path. For groundwater , it is also called the Darcy slope , since it determines the quantity of a Darcy flux or discharge.
MODFLOW simulation. MODFLOW is the U.S. Geological Survey modular finite-difference flow model, which is a computer code that solves the groundwater flow equation.The program is used by hydrogeologists to simulate the flow of groundwater through aquifers.