WMS:Storage Capacity Curves: Difference between revisions

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where:
where:


:<math>\Delta V 12</math> &ndash; The volume between areas <math>A_1</math> and <math>A_2</math>.
:''&Delta; V 12'' &ndash; The volume between areas ''A<sub>1</sub>'' and ''A<sub>2</sub>''.


:<math>A_i</math> &ndash; surface area <math>i</math>.
:''A<sub>i</sub>'' &ndash; Surface area ''i''.


:<math>h</math> &ndash; vertical distance <math>(E_2-E_1)</math> between surface areas <math>A_1</math> and <math>A_2</math>.
:''h'' &ndash; Vertical distance ''(E<sub>2</sub>-E<sub>1</sub>)'' between surface areas ''A<sub>1</sub>'' and ''A<sub>2</sub>''.


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


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 16:15, 14 December 2016

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.

Storage Capacity Curves.png

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

where:

Δ V 12 – The volume between areas A1 and A2.
Ai – Surface area i.
h – Vertical distance (E2-E1) between surface areas A1 and A2.
Ei – Elevation of surface area i.

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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