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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.
R is the hydraulic radius (in ft for US customary units, in m for SI units) S is the slope of the energy line (head loss per length of pipe or h f /L) The equation is similar to the Chézy formula but the exponents have been adjusted to better fit data from typical engineering situations.
R h is the hydraulic radius (L; ft, m); S is the stream slope or hydraulic gradient, the linear hydraulic head loss loss (dimension of L/L, units of m/m or ft/ft); it is the same as the channel bed slope when the water depth is constant. (S = h f /L). k is a conversion factor between SI and English units.
where q is the volume flux vector of the fluid at a particular point in the medium, h is the total hydraulic head, and K is the hydraulic conductivity tensor, at that point. The hydraulic conductivity can often be approximated as a scalar. (Note the analogy to Ohm's law in electrostatics. The flux vector is analogous to the current density ...
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 with known geometry.
where is the hydraulic conductivity, defined as =, and is the hydraulic gradient. The hydraulic gradient is the rate of change of total head with distance. The total head, h {\displaystyle h} at a point is defined as the height (measured relative to the datum) to which water would rise in a piezometer at that point.
The method consists of filling the flow area with stream and equipotential lines, which are everywhere perpendicular to each other, making a curvilinear grid.Typically there are two surfaces (boundaries) which are at constant values of potential or hydraulic head (upstream and downstream ends), and the other surfaces are no-flow boundaries (i.e., impermeable; for example the bottom of the dam ...
where s is the drawdown (change in hydraulic head at a point since the beginning of the test in units of distance), u is a dimensionless parameter, Q is the discharge (pumping) rate of the well (volume per unit time), T and S are the transmissivity and storativity of the aquifer around the well (distance squared per unit time and dimensionless ...