Ground infiltration formula (Water Overlay): Difference between revisions

From Tygron Support wiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 2: Line 2:


First the height of the unsaturated zone is calculated.
First the height of the unsaturated zone is calculated.
: <math>d_{u} = B_{c} - WL_{underground}</math>
: <math>d_{u} = B_{c} - w_u</math>


Then the ratio of water amount to unsaturated height is calculated.
Then the ratio of water amount to unsaturated height is calculated.
: <math>r = W_{unsat}/d_{u}</math>
: <math>r = \Delta w_u/d_{u}</math>


Then calculate the distance of the unsaturated zone which can infiltrate.
Then calculate the distance of the unsaturated zone which can infiltrate.
Line 11: Line 11:


Finally, calculate the actual amount of water infiltrating.
Finally, calculate the actual amount of water infiltrating.
: <math>\Delta w = d_{i} \cdot r</math>
: <math>\Delta w_i = d_{i} \cdot r</math>


Where:
Where:
: <math>\Delta w</math> = The underground infiltration which takes place.
: <math>\Delta w_i</math> = The underground infiltration which takes place.
: <math>\Delta t</math> = Computational timestep.
: <math>\Delta t</math> = Computational timestep.


Line 21: Line 21:
: <math>d_{i}</math> = The height distance in the unsaturated zone which can be subject to infiltration to the saturated zone.
: <math>d_{i}</math> = The height distance in the unsaturated zone which can be subject to infiltration to the saturated zone.


: <math>W_{unset}</math> = The amount of water in the unsaturated zone. The height of the water column if the equivalent amount of water was placed on the surface.
: <math>\Delta w_u</math> = The amount of water in the unsaturated zone. The height of the water column if the equivalent amount of water was placed on the surface.
: <math>WL_{underground}</math> = The [[Groundwater level formula (Water Overlay)|groundwater level]], relative to {{datum}}.
: <math>w_u</math> = The [[Groundwater level formula (Water Overlay)|groundwater level]], relative to {{datum}}.
: <math>B_c</math> = the datum height of the surface of cell c, set by the [[Elevation (Water Overlay)|elevation]] or a [[Terrain elevation prequel (Water Overlay)|Terrain elevation prequel]].
: <math>B_c</math> = the datum height of the surface of cell c, set by the [[Elevation (Water Overlay)|elevation]] or a [[Terrain elevation prequel (Water Overlay)|Terrain elevation prequel]].
: <math>I_{u}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the underground terrain type.
: <math>I_{u}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the underground terrain type.

Revision as of 12:48, 25 January 2024

Underground infiltration (from the unsaturated zone to the saturated zone) is calculated per cell.

First the height of the unsaturated zone is 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 d_{u} = B_{c} - w_u}

Then the ratio of water amount to unsaturated height is 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 r = \Delta w_u/d_{u}}

Then calculate the distance of the unsaturated zone which can infiltrate.

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 d_{i} = min( d_{u} , \Delta t \cdot I_{u} )}

Finally, calculate the actual amount of water infiltrating.

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_i = d_{i} \cdot r}

Where:

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_i} = The underground 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 \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 d_{u}} = The height of 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 r} = Ratio of water to height in 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 d_{i}} = The height distance in the unsaturated zone which can be subject to infiltration to the saturated 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_u} = The amount of water in the unsaturated zone. The height of the water column if the equivalent amount of water was placed on 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 w_u} = The groundwater level, relative to datum.
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 B_c} = the datum height of the surface of cell c, set by the elevation or a Terrain elevation prequel.
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_{u}} = The GROUND_INFILTRATION_MD of the underground terrain type.

Related

The following topics are related to this formula.

Formulas
Groundwater level formula
Surface infiltration formula
Underground seepage formula
Models
Underground model
Infiltration model
Tracer flow model
Water Module
Benchmarks button.png
Introduction button.png
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
Retrieved from "https://support.tygron.com/w/index.php?title=Ground_infiltration_formula_(Water_Overlay)&oldid=57456"