Subsidence formula (Subsidence Overlay): Difference between revisions

Latest revision as of 14:11, 23 February 2023

The total subsidence for year y is calculated as:

$S_{y,max}=d_{tl,c}\cdot p_{c}-S_{y-1}$

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

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

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

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

where

p_{c}

is the peat fraction of the respective grid cell c.

d_{tl,c}

is the top layer thickness of the respective grid cell c.

S_{y,max}

is the maximum possible subsidence in year y.

S_{y}

is the total subsidence in year y

S_{O,y}

S_{C,y}

@@ Line 1: / Line 1: @@
 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
 : <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>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.
-{{Template:SubsidenceOverlay_nav}}
+: <math>S_{C,y}</math> is the [[Compaction formula (Subsidence Overlay)|subsidence due to compactions]] in year y.<noinclude>
+{{SubsidenceOverlay_nav}}
 </noinclude>