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


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Revision as of 14:27, 9 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:

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 \Delta{T}=(T_{final}-T_{start}) \cdot \frac{y_{y}-y_{start}}{y_{final}-y_{start}} \cdot f_{st} }

Delta micro activity 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 \Delta{MA}=Q_{10}^{\Delta{T}/ 10.0} - 1.0}

Delta subsidence 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 \Delta{s_{sub}}=\Delta{MA} \cdot f_{ox}}

The new parameter a value 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 a_y = a_0 \cdot ( 1.0 + \Delta{s_{sub}} )}

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 a_{y}} = The a parameter for the current year.
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 a_{0}} = The a parameter value at the start of the calculation, defined by PARAMETER_A.
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 y_{y}} = The current year.
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 y_{start}} = The start year of the simulation, defined by CLIMATE_START_YEAR.
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 y_{end}} = The final year of the simulation, defined by the addition of the start year and YEARS.
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 T_{start}} = The average temperature of the start year, defined by CLIMATE_START_TEMP.
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 T_{final}} = The average temperature of the final year, defined by CLIMATE_FINAL_TEMP.
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 Q_{10}} = The Q10 factor, configured as 3. This value is currently not adjustable.
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 f_{st}} = Soil temperature factor, defined by CLIMATE_SOIL_TEMP_FACTOR.
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 f_{ox}} = Oxidation factor, defined by CLIMATE_OXIDATION.


Subsidence Module
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Subsidence Overlay
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Overview
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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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