Ground bottom flow formula (Water Overlay): Difference between revisions

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Where:
Where:
* Δs = The underground seepage which takes place, in meters.
* <math>\Delta s</math> = The underground seepage which takes place, in meters.
* Δt = Computational timestep in seconds.
* <math>\Delta t</math> = Computational timestep in seconds.
* h<sub>d</sub> = ground water level (or head) of the external zone causing the seepage, in meters
* <math>h_{d,t}</math> = ground water level (or head) of the external zone causing the seepage at time t, in meters
* h<sub>v> = additional variation in head of h<sub>d</sub> over time
* <math>h_{c}</math> = constant ground water level (or head) of the external zone causing the seepage, in meters
* c = resistance of the separating layer in days
* <math>h_{v,t}</math> = additional variation of seepage head over time
* ws = soil water storage fraction
* <math>c</math> = resistance of the separating layer in days
 
* <math>ws</math> = water storage fraction of the soil
 
* H<sub>unsat</sub> = The height of the unsaturated zone.
* S = Ratio of water to height in the unsaturated zone.
* C<sub>inf</sub> = The height in the unsaturated zone which can be subject to infiltration to the saturated zone.
 
* W<sub>unset</sub> = 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.
* WL<sub>underground</sub> = The [[Groundwater level formula (Water Overlay)|groundwater level]], relative to {{datum}}.
* H<sub>surface</sub> = The [[Terrain height (Water Overlay)|terrain height]] in the cell, relative to {{datum}}.
* I<sub>und</sub> = The [[Terrain ground infiltration md (Water Overlay)|GROUND_INFILTRATION_MD]] of the underground terrain type.


==Related==
==Related==
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: [[Underground model (Water Overlay)|Underground model]]
: [[Underground model (Water Overlay)|Underground model]]
: [[Infiltration model (Water Overlay)|Infiltration model]]
: [[Infiltration model (Water Overlay)|Infiltration model]]
: [[Substance flow model (Water Overlay)|Substance flow model]]


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Revision as of 09:59, 10 July 2020

Underground seepage (from (or to) outside the project area) is calculated per cell.

The seepage is calculated using the following formula:

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 s = \frac{h_{d}(t) - h_{x,y}}{c} \cdot \frac{\Delta t}{24 \cdot 60 \cdot 60}}

The external seepage head is variable over time by the introduction of hv,t

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_d(t) = h_c + h_{v,t}(t)}

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 = \frac{\Delta s}{ws}}

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 s} = The underground seepage which takes place, in meters.
  • 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 in seconds.
  • 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_{d,t}} = ground water level (or head) of the external zone causing the seepage at time t, in meters
  • 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_{c}} = constant ground water level (or head) of the external zone causing the seepage, in meters
  • 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_{v,t}} = additional variation of seepage head over 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 c} = resistance of the separating layer in days
  • 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 ws} = water storage fraction of the soil

Related

The following topics are related to this formula.

Formulas
Groundwater level formula
Surface infiltration formula
Models
Underground model
Infiltration model

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