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> | ||
* The height increase | |||
* | * <math>p_{x ,y}</math> is the [[Peat fraction (Subsidence Overlay)|peat fraction]] of the cell at coordinate (x,y) | ||
* | * <math>tl_{x,y}</math> is the [[top layer thickness]] of the cell at coordinate (x,y) | ||
* | * <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>a_{peat}</math> is the first regression constant (-0.015853041) for the effect of the peat fraction and time in days. | ||
* | * <math>b_{peat}</math> is the second regression constant (0.02348519) for the effect of the peat fraction. | ||
* <math>a_{tl}</math> is the first regression constant (-0.006617643) for the top layer thickness and time in days. | |||
* <math>b_{tl}</math> is the second regression constant (0.010061616) for the top layer thickness. | |||
* <math>a_h</math> 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. | 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. | ||
Revision as of 16:46, 8 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_{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}}
- 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_{x ,y}} is the peat fraction of the cell at coordinate (x,y)
- 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_{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.
- 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 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 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 b_{tl}} is the second regression constant (0.010061616) for the top layer thickness.
- 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.
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.