$next$ $up$ $previous$ $contents$
Next: Transformation into Polar Up: No Title Previous: Bernoulli Formula

Darcian Velocities

Darcy's Law can be written in a differential form where the velocity of the flow in the s direction is:

Differentiating the head:

with respect to s, we obtain:

Substituting Equation 7 into Equation 6, we get:

where

  ¯ = hydraulic conductivity [LT]

 		= hydrostatic pressure potential [L]

z 		= gravitational potential [L]

The negative sign indicates that the flow moves in the direction of decreasing head.

defines the flow rate in any direction through a porous medium is proportional to the negative rate of change of head in that direction.

Rhonda Macleod
Mon Apr 17 16:32:58 EDT 1995