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_{C} = ( 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>
<math>S_{C} = ( a_{peat} \cdot p_{c} + a_{tl} \cdot tl_{c} ) \cdot log10(t_{days}) + a_h \cdot \Delta{h} + b_p \cdot p_{c} + b_{tl} \cdot tl_{c}</math>


where
where


* <math>S_{C}</math> is the calculated subsidence due to compaction.
* <math>S_{C}</math> is the calculated subsidence due to compaction.
* <math>p_{x ,y}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the cell at coordinate (x,y)
* <math>p_{c}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the respective grid cell
* <math>tl_{x,y}</math> is the [[top layer thickness]] of the cell at coordinate (x,y)
* <math>tl_{c}</math> is the [[top layer thickness]] of the respective grid cell
* <math>\Delta_h</math> The height increase as a result of the actions taken during a [[session]], such as the creation of [[levee]]s.
* <math>\Delta_h</math> The height increase as a result of the actions taken during a [[session]], such as the creation of [[levee]]s.
* <math>t_{days}</math> is the number of days in a year times the current year being calculated.
* <math>t_{days}</math> is the number of days in a year times the current year being calculated.

Revision as of 15:33, 9 February 2021

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

where

  • is the calculated subsidence due to compaction.
  • is the peat fraction of the respective grid cell
  • is the top layer thickness of the respective grid cell
  • 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 first regression constant (0.006617643) for the top layer thickness and time in days.
  • is a regression constant (0.200468677) for the change in surface height, for example caused by added materials.
  • is the second regression constant (0.02348519) for the effect of the peat fraction.
  • is the second regression constant (-0.010061616) for the top layer thickness.

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.

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