WMS:Storage Capacity Curves: Difference between revisions

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[[Image:image144.gif]]
[[Image:image144.gif]]


The volume between incremental areas A1 and A2 is computed using the following equation:
The volume between incremental areas <math>A_1</math> and <math>A_2</math> is computed using the following equation:


:<math>\Delta V 12 = \frac {h}{3}(A_1 + A_2 + \sqrt {A_1 A_2})  </math>
:<math>\Delta V 12 = \frac {h}{3}(A_1 + A_2 + \sqrt {A_1 A_2})  </math>
[[Image:image145.gif]]


where:
where:


&Delta;V<sub>12</sub> - The volume between areas A1 and A2.
<math>\Delta V 12</math> &ndash; The volume between areas <math>A_1</math> and <math>A_2</math>.


A<sub>i</sub> - surface area i.
<math>A_i</math> &ndash; surface area <math>i</math>.


h - vertical distance (E2-E1) between surface areas A1 and A2.
<math>h</math> &ndash; vertical distance <math>(E_2-E_1)</math> between surface areas <math>A_1</math> and <math>A_2</math>.


E<sub>i</sub> - elevation of surface area i.
<math>E_i</math> &ndash; elevation of surface area <math>i</math>.


The same equation is used to compute the volume between each adjacent set of surface areas, with the bottom area assumed to be 0. A TIN can be used to automatically create and store for use in the detention basin calculator the elevation-volume relationship.
The same equation is used to compute the volume between each adjacent set of surface areas, with the bottom area assumed to be 0. A TIN can be used to automatically create and store for use in the detention basin calculator the elevation-volume relationship.

Revision as of 20:01, 19 March 2013

There are three different methods for defining storage capacity: volume vs. elevation, area vs. elevation, and known geometry.

In all three cases a relationship between elevation and volume will be computed. For the volume vs. elevation option this is explicitly defined. If area vs. elevation is specified, then a corresponding volume for each elevation is computed using the conic method. The conic method is illustrated below.

File:Image144.gif

The volume between incremental areas and is computed using the following equation:

where:

– The volume between areas and .

– surface area .

– vertical distance between surface areas and .

– elevation of surface area .

The same equation is used to compute the volume between each adjacent set of surface areas, with the bottom area assumed to be 0. A TIN can be used to automatically create and store for use in the detention basin calculator the elevation-volume relationship.

If the basin geometry option is chosen then an elevation vs. volume relationship is computed directly from the geometry defined for the basin.


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