Surface infiltration formula (Water Overlay): Difference between revisions

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First, the infiltration capacities are calculated:
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:
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:
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==
==Related==
The following topics are related to this formula.
The following topics are related to this formula.

Revision as of 13:24, 3 June 2021

Surface infiltration is calculated per cell.

First, the infiltration capacities are calculated:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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:

= The average infiltration speed based on constructions on top of the surface, based on GROUND_INFILTRATION_MD.
= 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.
= The average infiltration speed on top of the surface.
= The average infiltration speed below the surface.
= The (limited) infiltration speed from surface to the unsaturated zone.
= The amount of water on the surface. Also known as the water column.
= The surface infiltration which takes place.
= Computational timestep.

Related

The following topics are related to this formula.

Formulas
Surface water level formula
Groundwater level formula
Underground infiltration formula
Models
Surface model
Underground model
Infiltration model
Tracer flow model
Water Module
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Water Module
Benchmarks button.png
Getting started button.png
Tutorials
Benchmarks button.png
Overview button.png
Overview
Benchmarks button.png
Theory button.png
Theory
Benchmarks button.png
Benchmarks button.png
Benchmarks
Models
Surface • Ground • Rain • Evaporation • Infiltration • Elevation • Breach • Sewer • Storage • Tracer flow • Border • Order
Model formulas
Timestep • Season • Surface water level • Groundwater level
Flow formulas
Surface flow • Surface infiltration • Ground flow • Ground infiltration • Surface evaporation • Ground evaporation • Ground bottom flow
Hydraulic structure formulas
Culvert • Weir • Breach growth • Breach flow • Pump • Sewer Overflow • Inlet • Drainage
Related
Building attributes • Hydrological features • Hydraulic structures •  Terrain attributes • Model attributes • Results • Simulation data
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