Model help:GSDCalculator: Difference between revisions

Revision as of 11:01, 2 May 2011

GSDCalculator

This model is used to calculate statistical characteristics of grain size distributions. Given a grain size distribution, the program computes the geometric mean diameter, and the geometric standard deviation.

Model introduction

This model is a Grain Size Distribution Statistics Calculator.

Model parameters

Parameter	Description	Unit
First parameter	Description parameter	[Units]

Parameter	Description	Unit
First parameter	Description parameter	[Units]

Uses ports

This will be something that the CSDMS facility will add

Provides ports

This will be something that the CSDMS facility will add

Main equations

Linearly interpolated grain size (in Ψ scale)

[math]\displaystyle{ \Psi =log_{2}D }[/math]

(1)

Nomenclature

Symbol	Description	Unit
D	sedimwent size	mm
D_x	characteristic diameter of the size diameter based on the percent finer	mm
D_xU	upper bound of the size distribution based on the percent finer	mm
D_xL	lower bound of the size distribution based on the percent finer	mm
xU	percent finer of the upper bound of the size distribution	-
xL	percent finer of the lower bound of the size distribution	-
Ψ	sediment size in the psi-scale	-

Output

Symbol	Description	Unit
D_g	geometric mean diameter of the size distribution	mm
σ_g	geometric standard deviation of the size distribution	-

Notes

Characteristic diameters is based on percent finer, D_x (i.e. size such that x percent of the sample is finer than D_x) can be computed if requested by the user.

If the inputted size distribution does not have a lower bound, D_xL, such that xL = 0 and an upper bound, D_xU, such that xU = 100, the program computes these bounds with a linear interpolation of the data.

Input data may be entered either from the finer to the coarser size or from the coarser to the finer. The program will automatically reorder the data.

Data may be on either a 0.00-1.00 scale or a 0-100 scale. The program will always use a 0-1 scale to do the calculations.

The program will prompt users if they want to calculate characteristic diameters based on percent finer, D_x, and what diameters they would like to know.

The program can calculate up to 10 characteristic diameters based on percent finer.

The geometric mean diameter, D_g, the geometric standard deviation, σ_g, and the user-defined characteristic diameters based on percent finer will be appended to a file with the reorganized, scaled, and bounded grain size distribution.

Examples

An example run with input parameters, BLD files, as well as a figure / movie of the output

Follow the next steps to include images / movies of simulations:

Upload file: http://csdms.colorado.edu/wiki/Special:Upload
Create link to the file on your page: [[Image:<file name>]].

Developer(s)

Name of the module developer(s)

References

Key papers

Links

Any link, eg. to the model questionnaire, etc.

@@ Line 14: / Line 14: @@
 __NOTOC__
 ==<big><big>{{PAGENAME}}</big></big>==
-This model is used to calculate statistical characteristics of grain size distributions.
+This model is used to calculate statistical characteristics of grain size distributions. Given a grain size distribution, the program computes the geometric mean diameter, and the geometric standard deviation.
 ==Model introduction==
@@ Line 50: / Line 50: @@
 ==Main equations==
-<span class="remove_this_tag">A list of the key equations. HTML format is supported; latex format will be supported in the future</span>
+* Linearly interpolated grain size (in Ψ scale)
+::::{|
+|width=800px|<math>\Psi =log_{2}D </math>
+|width=50px align="right"|(1)
+|}
+<div class="NavFrame collapsed" style="text-align:left">
+  <div class="NavHead">Nomenclature</div>
+  <div class="NavContent">
+{| {{Prettytable}} class="wikitable sortable"
+!Symbol!!Description!!Unit
+|-
+| D
+| sedimwent size
+| mm
+|-
+| D<sub>x</sub>
+| characteristic diameter of the size diameter based on the percent finer
+| mm
+|-
+| D<sub>xU</sub>
+| upper bound of the size distribution based on the percent finer
+| mm
+|-
+| D<sub>xL</sub>
+| lower bound of the size distribution based on the percent finer
+| mm
+|-
+| xU
+| percent finer of the upper bound of the size distribution
+| -
+|-
+| xL
+| percent finer of the lower bound of the size distribution
+| -
+|-
+| Ψ
+| sediment size in the psi-scale
+| -
+|-
+|}
+'''Output'''
+{| {{Prettytable}} class="wikitable sortable"
+!Symbol!!Description!!Unit
+|-
+| D<sub>g</sub>
+| geometric mean diameter of the size distribution
+| mm
+|-
+| σ<sub>g</sub>
+| geometric standard deviation of the size distribution
+| -
+|-
+|}
+  </div>
+</div>
 ==Notes==
-<span class="remove_this_tag">Any notes, comments, you want to share with the user</span>
+Characteristic diameters is based on percent finer, D<sub>x</sub> (i.e. size such that x percent of the sample is finer than D<sub>x</sub>) can  be computed if requested by the user.
+If the inputted size distribution does not have a lower bound, D<sub>xL</sub>, such that xL = 0 and an upper bound, D<sub>xU</sub>, such that xU = 100, the program computes these bounds with a linear interpolation of the data.
+Input data may be entered either from the finer to the coarser size or from the coarser to the finer.  The program will automatically reorder the data.
+Data may be on either a 0.00-1.00 scale or a 0-100 scale.  The program will always use a 0-1 scale to do the calculations.
+The program will prompt users if they want to calculate characteristic diameters based on percent finer, D<sub>x</sub>, and what diameters they would like to know.
-<span class="remove_this_tag">Numerical scheme</span>
+The program can calculate up to 10 characteristic diameters based on percent finer.
+The geometric mean diameter, D<sub>g</sub>, the geometric standard deviation, σ<sub>g</sub>, and the user-defined characteristic diameters based on percent finer will be appended to a file with the reorganized, scaled, and bounded grain size distribution.
 ==Examples==