Oxidation formula (Subsidence Overlay): Difference between revisions

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


<math>S_O = d_{gw} * a_{y} - d_{ct} * b - c</math>
<math>S_O = a_{y} \cdot d_{gw,y,c} - b \cdot d_{ct,c} - c</math>


where
where
 
: <math>S_O</math> is the subsidence due to oxidation.
<math>S_O</math> is the subsidence due to oxidation.
: <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>d_{gw}</math> is the ground water depth, based on the [[lowest ground water level]] (glg).
: <math>a_{y}</math> is the [[Parameter_a_recalculation_formula_(Subsidence_Overlay)|calculated a parameter value]] for the current year <math>y</math>.
<math>a_{y}</math> is the [[calculated a parameter value]] for the current year <math>y</math>.
: <math>d_{ct,c}</math> is the clay thickness of the terrain in cell c, defined by [[Clay thickness (Subsidence Overlay)|CLAY_THICKNESS]]
<math>d_{ct}</math> is the clay thickness of the terrain, 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>b</math> is the b parameter value, defined by [[Parameter b (Subsidence Overlay)|PARAMETER B]]
: <math>c</math> is the c parameter value, defined by [[C (Subsidence Overlay)|the model attribute C]]
<math>c</math> is the c parameter value, defined by [[Parameter c (Subsidence Overlay)|PARAMETER C]]
This formula was provided by experts, who have derived this formula empirically.<noinclude>
 
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* The ground water level (expressed in meters below surface), most commonly the lowest ground water level. This value is recalculated as part of the calculations over multiple years. (This value is capped as 1.2m. If the ground water level is further from the surface than 1.2m, 1.2m is used.)
</noinclude>
* The clay thickness is an attribute in the project. The exact attribute which provide this value can be configured as {{inlink|Keys}} in the overlay.
* The a, b and c parameters are climate values which can be configured as {{inlink|Attributes}} in the overlay. the a value is also recalculated as part of the calculations over multiple years.
 
This formula was provided by experts, who have established this formula empirically.

Latest revision as of 10:50, 15 March 2021

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

where

is the subsidence due to oxidation.
is the calculated ground water depth for year y in cell c.
is the calculated a parameter value for the current year .
is the clay thickness of the terrain in cell c, defined by CLAY_THICKNESS
is the b parameter value, defined by the model attribute B
is the c parameter value, defined by the model attribute C

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

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Parameter a recalculation • Ground water depth • Oxidation • Compaction • Subsidence • Indexation
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