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

Revision as of 09:03, 28 August 2020

Underground seepage from outside the project area is calculated per grid cell.

The water level change due to seepage is calculated using the following formula:

\Delta s_{x,y}={\frac {h_{d}(t)-h_{x,y}}{c_{x,y}}}\cdot {\frac {\Delta 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_{x,y}}+h_{v,t}(t)

Finally, the actual amount of water seeping into the ground from the bottom is calculated as followed:

\Delta w_{x,y}={\Delta s_{x,y}}\cdot {ws}

Where:

$\Delta s_{x,y}$ = The water level change due to seepage, in meters.
$\Delta t$ = Computational timestep in seconds.
$h_{x,y}$ = Ground water head in the grid cell.
$h_{d}(t)$ = additional ground water level (or head) of the external zone causing the seepage at time t, in meters
$h_{c_{x,y}}$ = 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
$c_{x,y}$ = resistance of the separating layer in days
$ws$ = water storage fraction of the soil
$\Delta w_{x,y}$ = seeped in water in m

$h_{c_{x,y}}$ and $c_{x,y}$ can both be provided as spatially variable values.
$h_{d}(t)$ can be provided as a set of values, variable over time.
A seepage head lower than the water level in the project is also allowed, resulting in water seeping out to a region outside the project area.

@@ Line 1: / Line 1: @@
-Underground seepage (from (or to) outside the project area) is calculated per cell.
+Underground seepage from outside the project area is calculated per grid cell.
 The water level change due to seepage is calculated using the following formula:
@@ Line 7: / Line 7: @@
 : <math>h_d(t) = h_{c_{x,y}} + h_{v,t}(t)</math>
-Finally, calculate the actual amount of water seeping into (or out of) the ground from the bottom.
+Finally, the actual amount of water seeping into the ground from the bottom is calculated as followed:
 : <math>\Delta w_{x,y} = {\Delta s_{x,y}}\cdot{ws}</math>
@@ Line 24: / Line 24: @@
 * <math>h_{c_{x,y}}</math> and <math>c_{x,y}</math> can both be provided as spatially variable values.
 * <math>h_{d}(t)</math> can be provided as a set of values, variable over time.
+* A seepage head lower than the water level in the project is also allowed, resulting in water seeping out to a region outside the project area.
 ==See also==