Parameter a recalculation formula (Subsidence Overlay): Difference between revisions

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<math>a_y = a_0 \cdot ( 1.0 + \Delta{s_{sub}} )</math>
<math>a_y = a_0 \cdot ( 1.0 + \Delta{s_{sub}} )</math>


* <math>a_{y}</math> = The a parameter for the current year.
where
* <math>a_{0}</math> = The a parameter value at the start of the calculation, defined by [[Parameter a (Subsidence Overlay)|PARAMETER_A]].
: <math>a_{y}</math> = The a parameter for the current year.
* <math>y_{y}</math> = The current year.
: <math>a_{0}</math> = The a parameter value at the start of the calculation, defined by [[A (Subsidence Overlay)|the model attribute A]].
* <math>y_{start}</math> = The start year of the simulation, defined by [[Climate start year (Subsidence Overlay)|CLIMATE_START_YEAR]].
: <math>y_{y}</math> = The current year. The first year is defined by [[Start year (Subsidence Overlay)|START_YEAR]].
* <math>y_{end}</math> = The final year of the simulation, defined by the addition of the start year and [[Years_(Subsidence_Overlay)|YEARS]].
: <math>y_{start}</math> = The start year of the simulation, defined by [[Climate start year (Subsidence Overlay)|CLIMATE_START_YEAR]].
* <math>T_{start}</math> = The average temperature of the start year, defined by [[Climate_final_temp_(Subsidence_Overlay)|CLIMATE_START_TEMP]].
: <math>y_{end}</math> = The final year of the simulation, defined by the addition of the start year and [[Years_(Subsidence_Overlay)|YEARS]].
* <math>T_{final}</math> = The average temperature of the final year, defined by [[Climate_final_temp_(Subsidence_Overlay)|CLIMATE_FINAL_TEMP]].
: <math>T_{start}</math> = The average temperature of the start year, defined by [[Climate_final_temp_(Subsidence_Overlay)|CLIMATE_START_TEMP]].
* <math>Q_{10}</math> = The Q10 factor, configured as 3. This value is currently not adjustable.
: <math>T_{final}</math> = The average temperature of the final year, defined by [[Climate_final_temp_(Subsidence_Overlay)|CLIMATE_FINAL_TEMP]].
* <math>f_{st}</math> = Soil temperature factor, defined by [[Climate_soil_temp_factor_(Subsidence_Overlay)|CLIMATE_SOIL_TEMP_FACTOR]].
: <math>Q_{10}</math> = The Q10 factor, configured as 3. This value is currently not adjustable.
* <math>f_{ox}</math> = Oxidation factor, defined by [[Climate_oxidation_(Subsidence_Overlay)|CLIMATE_OXIDATION]].
: <math>f_{st}</math> = Soil temperature factor, defined by [[Climate_soil_temp_factor_(Subsidence_Overlay)|CLIMATE_SOIL_TEMP_FACTOR]].
 
: <math>f_{ox}</math> = Oxidation factor, defined by [[Climate_oxidation_(Subsidence_Overlay)|CLIMATE_OXIDATION]].<noinclude>
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Latest revision as of 13:28, 16 February 2021

The a parameter is recalculated yearly, to account for a changing climate. The new value for the a parameter is obtained by multiplying the original Parameter a is with a factor. This factor is calculated based on an interpolated average temperature for that year, a soil temperature factor, micro activity and an oxidation factor.

The value of the a parameter is updated each year as follows:

Delta temperature is calculated as:

Delta micro activity is calculated as:

Delta subsidence is calculated as:

The new parameter a value for year y is calculated as:

where

= The a parameter for the current year.
= The a parameter value at the start of the calculation, defined by the model attribute A.
= The current year. The first year is defined by START_YEAR.
= The start year of the simulation, defined by CLIMATE_START_YEAR.
= The final year of the simulation, defined by the addition of the start year and YEARS.
= The average temperature of the start year, defined by CLIMATE_START_TEMP.
= The average temperature of the final year, defined by CLIMATE_FINAL_TEMP.
= The Q10 factor, configured as 3. This value is currently not adjustable.
= Soil temperature factor, defined by CLIMATE_SOIL_TEMP_FACTOR.
= Oxidation factor, defined by CLIMATE_OXIDATION.
Subsidence Module
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Subsidence Overlay
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Tutorials
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Overview
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Theory
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Benchmarks
Group
Model
Overview • Calculation • Theory
Formulas
Parameter a recalculation • Ground water depth • Oxidation • Compaction • Subsidence • Indexation
Related
Features • Model attributes • Rasters • Result type


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