Ground bottom flow formula (Water Overlay): Difference between revisions

Revision as of 10:09, 10 July 2020

Underground seepage (from (or to) outside the project area) is calculated per cell.

The seepage is calculated using the following formula:

Δ s = \frac{h_{d} (t) - h_{x, y}}{c} \cdot \frac{Δ t}{24 \cdot 60 \cdot 60}

The external seepage head is variable over time by the introduction of h_v,t

h_{d} (t) = h_{c} + h_{v, t} (t)

Finally, calculate the actual amount of water seeping into (or out of) the ground from the bottom.

Δ w = \frac{Δ s}{w s}

Where:

$Δ s$ = The underground seepage which takes place, in meters.
$Δ t$ = Computational timestep in seconds.
$h_{x, y}$ = Ground water head in the grid cell.
$h_{d, t}$ = ground water level (or head) of the external zone causing the seepage at time t, in meters
$h_{c}$ = constant ground water level (or head) of the external zone causing the seepage, in meters
$h_{v, t}$ = additional variation of seepage head over time
$c$ = resistance of the separating layer in days
$w s$ = water storage fraction of the soil

@@ Line 13: / Line 13: @@
 * <math>\Delta s</math> = The underground seepage which takes place, in meters.
 * <math>\Delta t</math> = Computational timestep in seconds.
+* <math>h_{x,y}</math> = Ground water head in the grid cell.
 * <math>h_{d,t}</math> = ground water level (or head) of the external zone causing the seepage at time t, in meters
 * <math>h_{c}</math> = constant ground water level (or head) of the external zone causing the seepage, in meters