Surface infiltration formula (Water Overlay): Difference between revisions

Revision as of 13:24, 3 June 2021

Surface infiltration is calculated per cell.

First, the infiltration capacities are calculated:

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

Failed to parse (syntax error): {\displaystyle I_{surface} = min(\bar{I_{ground}}, \bar{I_{top}}}) Then the actual infiltration: <math>\Delta w = min( h, \Delta t \cdot 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_{t}op}}

= The average infiltration speed on top of the surface.

{\bar {I_{g}round}}

= The average infiltration speed below the surface.

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>C_{water} = W_{surface}</math>
+<math> \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}
+</math>
-<math>C_{top} = max( I_{con}, I_{surf})</math>
+<math> I_{surface} = min(\bar{I_{ground}}, \bar{I_{top}}})
-<math>I_{surf} = 0</math> if a construction is present
-<math>I_{con} = 0</math> if no construction is present
 Then the actual infiltration:
-<math>\Delta w = min( C_{water}, \Delta t \cdot C_{top})</math>
+<math>\Delta w = min( h, \Delta t \cdot I_{surface})</math>
 Where:
-* <math>\Delta w</math> = The surface infiltration which takes place.
-* <math>\Delta t</math> = Computational timestep.
-* <math>C_{water}</math> = The amount of infiltration that can take place based on the amount of water on the surface.
+: <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>C_{top}</math> = The amount of infiltration that can take place based on the infiltration values present.
+: <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>W_{surface}</math> = The amount of water (the water column) on the surface.
+: <math>\bar{I_top}</math> = The average infiltration speed on top of the surface.
-* <math>I_{con}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of a construction on a specific cell (if present).
+: <math>\bar{I_ground}</math> = The average infiltration speed below the surface.
-* <math>I_{surf}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the surface terrain type. This value should be interpreted as the vertical conductivity (Kv) of the sub-soil.
+: <math> 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 13:24, 3 June 2021

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