Surface infiltration formula (Water Overlay): Difference between revisions

Revision as of 13:26, 3 June 2021

Surface infiltration is calculated per cell.

First, the infiltration capacities are calculated:

${\bar {I}}_{top}={\begin{cases}{\bar {I}}_{con},&{\text{if constructions are present on top of the surface}}\\{\bar {I}}_{terrain},&{\text{otherwise}}\\\end{cases}}$

${\bar {I}}_{surface}=min({\bar {I}}_{ground},{\bar {I}}_{top})$

Then the actual infiltration:

$\Delta w=min(h,\Delta t\cdot {\bar {I}}_{surface})$

Where:

{\bar {I}}_{con}

= The average infiltration speed based on constructions on top of the surface, based on GROUND_INFILTRATION_MD.

{\bar {I}}_{terrain}

= The average infiltration speed based on the surface terrain, defined by GROUND_INFILTRATION_MD. This value should be interpreted as the vertical conductivity (Kv) of the sub-soil.

{\bar {I}}_{top}

= The average infiltration speed on top of the surface.

{\bar {I}}_{ground}

= The average infiltration speed below the surface.

{\bar {I}}_{surface}

= The (limited) infiltration speed from surface to the unsaturated zone.

h

= The amount of water on the surface. Also known as the water column.

\Delta w

= The surface infiltration which takes place.

\Delta t

= Computational timestep.

@@ Line 3: / Line 3: @@
 First, the infiltration capacities are calculated:
-<math> \bar{I_top} =
+<math> \bar{I}_{top} =
 \begin{cases}
-\bar{I_{con}}, & \text{if constructions are present on top of the surface} \\
+\bar{I}_{con}, & \text{if constructions are present on top of the surface} \\
-\bar{I_{terrain}}, & \text{otherwise}\\
+\bar{I}_{terrain}, & \text{otherwise}\\
 \end{cases}
 </math>
-<math> I_{surface} = min(\bar{I_{ground}}, \bar{I_{top}}})
+<math> \bar{I}_{surface} = min(\bar{I}_{ground}, \bar{I}_{top})</math>
 Then the actual infiltration:
-<math>\Delta w = min( h, \Delta t \cdot I_{surface})</math>
+<math>\Delta w = min( h, \Delta t \cdot \bar{I}_{surface})</math>
 Where:
-: <math>\bar{I_{con}}</math> = The average infiltration speed based on constructions on top of the surface, based on [[Function ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]].
+: <math>\bar{I}_{con}</math> = The average infiltration speed based on constructions on top of the surface, based on [[Function ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]].
-: <math>\bar{I_{terrain}}</math> = The average infiltration speed based on the surface terrain, defined by [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]]. This value should be interpreted as the vertical conductivity (Kv) of the sub-soil.
+: <math>\bar{I}_{terrain}</math> = The average infiltration speed based on the surface terrain, defined by [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]]. This value should be interpreted as the vertical conductivity (Kv) of the sub-soil.
-: <math>\bar{I_top}</math> = The average infiltration speed on top of the surface.
+: <math>\bar{I}_{top}</math> = The average infiltration speed on top of the surface.
-: <math>\bar{I_ground}</math> = The average infiltration speed below the surface.
+: <math>\bar{I}_{ground}</math> = The average infiltration speed below the surface.
-: <math> I_{surface}</math> = The (limited) infiltration speed from surface to the unsaturated zone.
+: <math>\bar{I}_{surface}</math> = The (limited) infiltration speed from surface to the unsaturated zone.
 : <math>h</math> = The amount of water on the surface. Also known as the water column.
 : <math>\Delta w</math> = The surface infiltration which takes place.
 : <math>\Delta t</math> = Computational timestep.
 ==Related==
 The following topics are related to this formula.

Surface infiltration formula (Water Overlay): Difference between revisions

Revision as of 13:26, 3 June 2021

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