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<br />(::> <br />,::~ ) <br />N <br />Q:) <br />(,Q <br />~ <br /> <br />. <br /> <br />. <br /> <br />4-2 <br /> <br />c.t" in 'the caBe wl)(~J:e nO L"elcases c'll:e ma(le, the ccsult <br />may be expLessed as <br /> <br />Si = Si-l + Ii <br /> <br />Eqn 5 <br /> <br />Si = 20000 - [(1- (Si-l + Ii - 20000)/2500)](2000) <br /> <br />WheL'e: <br /> <br />20000 < Si-l+ Ii<22500 <br /> <br />Given: <br /> <br />On a particular day, the results of computatiou by eqn. 3 <br />indicate the release will cause the contents to pass through a <br />critical content level such that the release rate will change. <br />This may be shown in the diagL'am below: <br /> <br />;..- v...,i -+ <br /> <br />2Z?av- <br />1Z06b - ~' <br /> <br />s~;:::: _;.' y:;- <br /> <br />5"1 ~""'J:?' <br />,~, .,. I <br />P>ot.lO ,J ~ -CVI<t'ttl\. <br />A,.I...I/'~ <br />I(el('t<"'~ -Si. <br /> <br />Si,.1:' '2O(:.oc; <br />Ti. :: 9c:.v <br />$~.IA~ ':: 2J~ <br /> <br /><:1,... \9Zoo <br /> <br />I~U <br /> <br />The general solu,tion may be geueL-ated from the following <br />reasoning. Because the Lelease rate aSSUL'es the cL'itical level <br />will be passed through the question becomes one of determining <br />how much water will be released after it is passed through. <br />The actual release procedure and implemented release procedure, <br />. al though conceptually diffeL'en.t, will be con.tri ved in such a <br />way as to make them identical. <br /> <br />The' pL'eceding questiou is solved thusly: WateL' beiug L"eleased <br />from Si-l + Ii to Si will CL"OSS the cL"itical content level <br />(20000 af) at a time of day diL'ectly propoctional to the amount <br />of wateL L'eleased to that time (Si-l + Ii -20000) taken in <br />L'atio wi th the total amoun.t which could he released at the <br />specified L"elease L'ate. Since time is taken in uni.t nays, the <br />amount of water released from the critical level of 20000 af to <br />the end of the day level of Si will be directly proportional to <br />the fractioual amount of the day Lemaining times the amount <br />which could be releasefl daily at the new rate. This may be <br />shown in the following. An actual example, as given, is <br />carL"ied with the f1evelopment. <br />