Surface infiltration formula (Water Overlay): Difference between revisions

Revision as of 09:30, 13 December 2022

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:

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

Where:

{\bar {I}}_{con}

= The average infiltration capacity based on constructions on top of the surface, based on GROUND_INFILTRATION_MD defined in either the building or function.

{\bar {I}}_{terrain}

= The average infiltration capacity 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 capacity on top of the surface.

{\bar {I}}_{ground}

= The average infiltration capacity below the surface.

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 \bar{I}_{surface}} = The infiltration capacity from surface to the unsaturated zone.

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 \Delta w} = The surface infiltration which takes place.

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

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 \Delta t} = Computational timestep.

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 f_{i,t}} = The interpolated infiltration factor at time 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 t} . Configured using INFILTRATION_FACTOR_S.

@@ Line 12: / Line 12: @@
 Then the actual infiltration:
-<math>\Delta w = min( h, \Delta t \cdot \bar{I}_{surface})</math>
+<math>\Delta w = min( h, \bar{I}_{surface}) \cdot \Delta t \cdot f_{i,t}</math>
 Where:
@@ Line 26: / Line 26: @@
 : <math>h</math> = The amount of water on the surface. Also known as the water column.
 : <math>\Delta t</math> = Computational timestep.
+: <math>f_{i,t}</math> = The interpolated infiltration factor at time <math>t</math>. Configured using [[Infiltration_factor_s_(Water_Overlay)|INFILTRATION_FACTOR_S]].
 ==Related==

Surface infiltration formula (Water Overlay): Difference between revisions

Revision as of 09:30, 13 December 2022

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