Subsidence formula (Subsidence Overlay): Difference between revisions

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The total subsidence for year y is calculated as:
The total subsidence for year y is calculated as:


<math>S_{max} = d_{tl,c} \cdot p_{c}</math>
<math>S_{y,max} = d_{tl,c} \cdot p_{c} - S{y-1}</math>


<math>S = S_O + S_C</math>
<math>S_{O,y} = min(S_{y,max},S_{O,y})</math>
 
<math>S_{y,max} = S_{y,max} - S_{O,y} </math>
 
<math>S_{C,y} = min(S_{y,max},S_{C,y})</math>
 
<math>S_{y} = S_{O,y} + S_{C,y}</math>


where
where
: <math>p_{c}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the respective grid cell c.
: <math>p_{c}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the respective grid cell c.
: <math>d_{tl,c}</math> is the [[Toplayer thickness (Subsidence Overlay)|top layer thickness]] of the respective grid cell c.
: <math>d_{tl,c}</math> is the [[Toplayer thickness (Subsidence Overlay)|top layer thickness]] of the respective grid cell c.
: <math>S</math> is the total subsidence
: <math>S_{y,max}</math> is the maximum possible subsidence in year y.
: <math>S_O</math> is the [[Oxidation formula (Subsidence Overlay)|subsidence due to oxidation]].
: <math>S_y</math> is the total subsidence in year y
: <math>S_C</math> is the [[Compaction formula (Subsidence Overlay)|subsidence due to compactions]].<noinclude>
: <math>S_{O,y}</math> is the [[Oxidation formula (Subsidence Overlay)|subsidence due to oxidation]] in year y.
: <math>S_{C,y}</math> is the [[Compaction formula (Subsidence Overlay)|subsidence due to compactions]] in year y.<noinclude>
{{Template:SubsidenceOverlay_nav}}
{{Template:SubsidenceOverlay_nav}}
</noinclude>
</noinclude>

Revision as of 10:59, 16 February 2021

The total subsidence for year y is calculated as:

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 S_{O,y} = min(S_{y,max},S_{O,y})}

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 S_{y,max} = S_{y,max} - S_{O,y} }

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 S_{C,y} = min(S_{y,max},S_{C,y})}

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 S_{y} = S_{O,y} + S_{C,y}}

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 p_{c}} is the peat fraction of the respective grid cell c.
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_{tl,c}} is the top layer thickness of the respective grid cell c.
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 S_{y,max}} is the maximum possible subsidence in year y.
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 S_y} is the total subsidence in year y
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 S_{O,y}} is the subsidence due to oxidation in year y.
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 S_{C,y}} is the subsidence due to compactions in year y.