Oxidation formula (Subsidence Overlay): Difference between revisions

Latest revision as of 10:50, 15 March 2021

The amount of subsidence due to oxidation is calculated by the following formula:

$S_{O}=a_{y}\cdot d_{gw,y,c}-b\cdot d_{ct,c}-c$

where

S_{O}

is the subsidence due to oxidation.

d_{gw,y,c}

is the calculated ground water depth for year y in cell c.

a_{y}

is the calculated a parameter value for the current year

y

.

d_{ct,c}

is the clay thickness of the terrain in cell c, defined by CLAY_THICKNESS

b

is the b parameter value, defined by the model attribute B

c

is the c parameter value, defined by the model attribute C

This formula was provided by experts, who have derived this formula empirically.

@@ Line 1: / Line 1: @@
 The amount of subsidence due to oxidation is calculated by the following formula:
-<math>S_O = d_{gw,y} \cdot a_{y} - d_{ct} \cdot b - c</math>
+<math>S_O = a_{y} \cdot d_{gw,y,c} - b \cdot d_{ct,c} - c</math>
 where
 : <math>S_O</math> is the subsidence due to oxidation.
-: <math>d_{gw,y}</math> is the [[Ground water depth formula (Subsidence Overlay)|calculated ground water depth]] for year y.
+: <math>d_{gw,y,c}</math> is the [[Ground water depth formula (Subsidence Overlay)|calculated ground water depth]] for year y in cell c.
 : <math>a_{y}</math> is the [[Parameter_a_recalculation_formula_(Subsidence_Overlay)|calculated a parameter value]] for the current year <math>y</math>.
-: <math>d_{ct}</math> is the clay thickness of the terrain, defined by [[Clay thickness (Subsidence Overlay)|CLAY_THICKNESS]]
+: <math>d_{ct,c}</math> is the clay thickness of the terrain in cell c, defined by [[Clay thickness (Subsidence Overlay)|CLAY_THICKNESS]]
 : <math>b</math> is the b parameter value, defined by [[B (Subsidence Overlay)|the model attribute B]]
 : <math>c</math> is the c parameter value, defined by [[C (Subsidence Overlay)|the model attribute C]]