Parameter a recalculation formula (Subsidence Overlay)

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:

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

Delta micro activity is calculated as:

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

Delta subsidence is calculated as:

$\mathrm{\Delta }{s}_{sub}=\mathrm{\Delta }MA\cdot f_{ox}$

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

$a_y=a_0\cdot (1.0+\mathrm{\Delta }{s}_{sub})$

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.

---

Subsidence Module

Subsidence Overlay

Tutorials

Overview

Theory

Benchmarks

Group

Model

Model

Overview • Calculation • Theory

Formulas

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

Related

Features • Model attributes • Rasters • Result type