Ground infiltration formula (Water Overlay): Difference between revisions

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: <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>\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>r</math> = Ratio of water to height in the unsaturated zone.
: <math>r</math> = Ratio of water to height in the unsaturated zone.
: <math>\Delta t</math> = Computational timestep.
: <math>\Delta t</math> = Computational [[Timestep formula (Water Overlay)|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]].
: <math>f_{i,t}</math> = The interpolated infiltration factor at time <math>t</math>. Configured using [[Infiltration_factor_s_(Water_Overlay)|INFILTRATION_FACTOR_S]].
: <math>I_{g}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the underground terrain type.
: <math>I_{g}</math> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the underground terrain type.

Revision as of 13:10, 5 March 2024

Water can infiltrate from the unsaturated zone to the saturated zone.

The 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_g}

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 we 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 f_{i,t} \cdot I_{g} )}

Finally, we calculate the actual amount of water that infiltrates from the unsaturated zone 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_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 w_g} = 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 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 \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 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 \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.
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_{g}} = The GROUND_INFILTRATION_MD of the underground terrain type.
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_i} = The infiltration which takes place from the unsaturated zone to the saturated zone.

Related

The following topics are related to this formula.

Formulas
Groundwater level formula (Water Overlay)
Surface infiltration formula (Water Overlay)
Ground bottom flow formula (Water Overlay)
Models
Ground model (Water Overlay)
Infiltration model (Water Overlay)
Tracer flow model (Water Overlay)
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
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