Ground infiltration formula (Water Overlay): Difference between revisions

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First the height of the unsaturated zone is calculated.
First the height of the unsaturated zone is calculated.
: <math>H_{unsat} = H_{surface} - WL_{underground}</math>
: <math>d_{u} = H_{surface} - WL_{underground}</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}/H_{unsat}</math>
: <math>r = W_{unsat}/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.
: <math>d_{i} = min( H_{unsat} , \Delta t \cdot I_{und} )</math>
: <math>d_{i} = min( d_{u} , \Delta t \cdot I_{und} )</math>


Finally, calculate the actual amount of water infiltrating.
Finally, calculate the actual amount of water infiltrating.
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* <math>\Delta t</math> = Computational timestep.
* <math>\Delta t</math> = Computational timestep.


* <math>H_{unsat}</math> = The height of the unsaturated zone.
* <math>d_{u}</math> = The height of the unsaturated zone.
* <math>r</math> = Ratio of water to height in the unsaturated zone.
* <math>r</math> = Ratio of water to height in the unsaturated zone.
* <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.

Revision as of 12:45, 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} = H_{surface} - WL_{underground}}

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 = W_{unsat}/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_{und} )}

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 = 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} = 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 W_{unset}} = 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 WL_{underground}} = 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 H_{surface}} = The terrain height in the cell, 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 I_{und}} = 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
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Water Module
Benchmarks button.png
Getting started button.png
Tutorials
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Overview
Benchmarks button.png
Theory button.png
Theory
Benchmarks button.png
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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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