Compaction formula (Subsidence Overlay): Difference between revisions

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


<math>S_{sub} = ( a_{peat} \cdot p_{x,y} + a_{tl} \cdot tl_{x,y} ) \cdot log10(t_{days}) + b_p \cdot p_{x,y} + b_{tl} \cdot tl_{x,y}+ a_h \cdot \Delta{h}</math>
<math>S_{sub} = ( a_{peat} \cdot p_{x,y} + a_{tl} \cdot tl_{x,y} ) \cdot log10(t_{days}) + a_h \cdot \Delta{h} + b_p \cdot p_{x,y} + b_{tl} \cdot tl_{x,y}</math>


where
where

Revision as of 16:48, 8 February 2021

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

where

  • is the peat fraction of the cell at coordinate (x,y)
  • is the top layer thickness of the cell at coordinate (x,y)
  • The height increase as a result of the actions taken during a session, such as the creation of levees.
  • is the number of days in a year times the current year being calculated.
  • is the first regression constant (-0.015853041) for the effect of the peat fraction and time in days.
  • is the second regression constant (0.02348519) for the effect of the peat fraction.
  • is the first regression constant (-0.006617643) for the top layer thickness and time in days.
  • is the second regression constant (0.010061616) for the top layer thickness.
  • is a regression constant (-0.200468677) for the change in surface height, for example caused by added materials.

This formula is based on provided expert data in the form of a reference table, indicating the amount of subsidence based on the parameters used in the formula above. The formula's results conform to the reference table to within an average of a tenth of the margin of error of the original table.