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

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:

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

Delta micro activity is calculated as:

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

Delta subsidence is calculated as:

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

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

$a_{y}=a_{0}\cdot (1.0+\Delta {s_{sub}})$

where

a_{y}

= The a parameter for the current year.

a_{0}

= The a parameter value at the start of the calculation, defined by the model attribute A.

y_{y}

= The current year. The first year is defined by START_YEAR.

y_{start}

= The start year of the simulation, defined by CLIMATE_START_YEAR.

y_{end}

= The final year of the simulation, defined by the addition of the start year and YEARS.

T_{start}

= The average temperature of the start year, defined by CLIMATE_START_TEMP.

T_{final}

= The average temperature of the final year, defined by CLIMATE_FINAL_TEMP.

Q_{10}

= The Q10 factor, configured as 3. This value is currently not adjustable.

f_{st}

= Soil temperature factor, defined by CLIMATE_SOIL_TEMP_FACTOR.

f_{ox}

= Oxidation factor, defined by CLIMATE_OXIDATION.

Group: Model
Model

Overview • Calculation • Theory
Formulas

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

Features • Model attributes • Rasters • Result type

@@ Line 13: / Line 13: @@
 Delta subsidence is calculated as:
-<math>\Delta{S}=\Delta{MA} \cdot f_{ox}</math>
+<math>\Delta{s_{sub}}=\Delta{MA} \cdot f_{ox}</math>
 The new ''parameter a'' value for year y is calculated as:
-<math>a_y = a_0 \cdot ( 1.0 + \Delta{S} )</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>
-<noinclude>
 {{Template:SubsidenceOverlay_nav}}
 </noinclude>

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

Latest revision as of 13:28, 16 February 2021

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