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_{ | <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_{ | * <math>p_{c}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the respective grid cell | ||
* <math>tl_{ | * <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:
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 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}}
where
- 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 S_{C}} is the calculated subsidence due to compaction.
- 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 p_{c}} is the peat fraction of the respective grid cell
- 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 tl_{c}} is the top layer thickness of the respective grid cell
- 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_h} The height increase as a result of the actions taken during a session, such as the creation of levees.
- 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_{days}} is the number of days in a year times the current year being calculated.
- 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_{peat}} is the first regression constant (0.015853041) for the effect of the peat fraction and time in days.
- 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_{tl}} is the first regression constant (0.006617643) for the top layer thickness and time in days.
- 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_h} is a regression constant (0.200468677) for the change in surface height, for example caused by added materials.
- 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 b_{peat}} is the second regression constant (0.02348519) for the effect of the peat fraction.
- 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 b_{tl}} 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.
- Group
- Model
- Parameter a recalculation • Ground water depth • Oxidation • Compaction • Subsidence • Indexation
- Related