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Last modified
1/26/2010 12:28:41 PM
Creation date
10/11/2006 10:04:33 PM
Metadata
Fields
Template:
Water Supply Protection
File Number
8271.300
Description
Colorado River Basin Salinity Control Program - General Information and Publications-Reports
Basin
Colorado Mainstem
Water Division
5
Date
6/1/1982
Title
Optimizing Salinity Control Strategies for the Upper Colorado River Basin
Water Supply Pro - Doc Type
Report/Study
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<br />': .. <br />,. i <br /> <br />.&;:... <br />N> <br />f'.) <br />..... <br /> <br />" <br /> <br />'I '. <br /> <br />~ i <br /> <br />"; , <br />> i1:9 <br />! I, <br />..~ <br /> <br />The derivative or the slope of the particular function illustrated by <br />Equation 8 has the simpiLe form :of: <br /> <br />dCo. <br />-~ <br />dS <br /> <br />> <br /> <br />2 <br />B <br />(ASI + B)2 <br /> <br />(10) <br /> <br />The d.edvative has the s1gnifio.anc.. of being th.. m..crg:l.nal o.ost of lining the <br />ith eana.iL for the speeified sslt:loacl(S )i' Thus, thesmsllerthe value of <br />the d8T:tVatiVe, the moreo.ost.....f.fective the linings. The.margitial co..t. values <br />of. represent..dEquat:ion 8 must b.. equal for all individual lining projects at <br />the specified value of tOtal salt to be reduo.ecl, S. They must also be con- <br />strained by the physica;Llimits of eaehincliviclual canal's values o.f (S.,.) i' <br />Thus for their r...speo.tive ranges of salt o.ontribution: . <br /> <br />. <br /> <br />o ~ (Sl)i ~ (ST)i <br /> <br />(11) <br /> <br />The value of Sis determined from'the eombination of opttmal least-cost values <br />corr..sponcling to ..ach (Sl)i' The simplifi..d st:ep-wis.. procedura is illus- <br />tratedin Figure 16... 'l;he pToeeclura . is..s follows: <br /> <br />1. Two arrays aT" calculated using Equation 10 for every eansl'in the <br />area being o.onsid..recl.for. lining. The first array "Will b.. for <br />values at (Sl) ~ 0, and the second will be for (Sl)i ~ (S ) . <br />Then, . frO!!ltlie1rotal arrayofminimull)valu"s the overall IIlIn1:mum <br />valu.., cleO. . is s..lected. . Similarly, th.. maximum, value of the <br /> <br />c1S1 min <br /> <br />c1erivatives,. c1Cc' is determinecl. All of the remaining .valuesin <br /> <br />dSl <br /> <br />both arrays ar" then diso.ardecl. <br /> <br />After th.. maximum ..nd m:tnimum vslu..shave been. seleeted, the.ll'.ar- <br />ginal o.o..t interval represented by these two values is divided 'into <br />k increments, A, wh..r.. k is any arbitrary value. <br /> <br />2. <br /> <br />A .. <br /> <br />de <br />0. <br />.. dS!. <br /> <br />dC <br />0. <br />W <br />!. <br /> <br />(12) <br /> <br />min <br /> <br />max <br /> <br />k <br /> <br />",," <br /> <br />lation... <br />equation <br /> <br />dC <br />0. for subsequent calcu- <br />dSl <br /> <br />Rearranging terms of Equation 10 for Sl' the following <br />is obtained: <br /> <br />A is now usecl to increm..nt the value of <br /> <br />44 <br /> <br />y <br />
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