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<br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />(}8 ,,'" () <br />.. Jt <br />DAMES e. MOORE <br /> <br />, -7- <br /> <br />willing, at least at this stage, to accept even rare operation of the <br /> <br /> <br />auxi.,liary spillway unless a service spillway also is provided, One of <br /> <br /> <br />their principal reasons is that the service spillway provi.des a much <br /> <br /> <br />more rapid means of reservoir evacuation, to be prepared for subsequent <br /> <br /> <br />floods that may occur. The USBR sees this as a matter to be determined <br /> <br /> <br />by design judgment. <br /> <br />We see it in a different light. Having accepted the auxiliary <br /> <br /> <br />spillway site as being competent for even a rare flood (perhaps once <br /> <br /> <br />in 1000 years), the principle of its competence is established and <br /> <br /> <br />acceptance of more frequent operations then would appear to become a <br /> <br /> <br />matter of economic optimization of damages vs. risk. In this process, <br /> <br />the frequency of auxiliary spillway use becomes of paramount importance. <br /> <br />frequency of Auxiliary Spillway Use <br /> <br />An analysis of the frequency of auxiliary spillway use reveals <br /> <br />some rather surprising results.' They startw,ith probabili.ties of various' <br /> <br />reservoir levels being attained within the joint ,use pool (75-,000 <br /> <br />acre-feet) and wi, thin the exclusive flood control pool (475,000 acre-feet). <br /> <br />We fi.n.d, for instance, <br /> <br />a) that there is a 50-50 chance, that at anyone time, <br />the storage within the joi,llt use pool \'lOuld ouly <br />be 20,000 acre-feet. <br /> <br />b) t.hat there is a 1,-'in--5 chance that only the joint <br />use pool would be full, i.e. that 475,000 acre-feet <br />of exclusive flood control space would remai.n un- <br />fill ed. <br /> <br />c) <br /> <br />most importantly, that there is only a 50-50 chance <br />the auxiliary spillway would be used OnC'" in 150 years, <br />even In the absence of a service spilhlaY. <br /> <br />An economic study we -have made, des'cribed. in Chapter. IV,' demonstra tes <br /> <br /> <br />that with median probabilities of, flooding ,there is no, economic just,i--, <br /> <br /> <br />ficatlon of provrdi.ng extensive protection t.o preVent damage to the <br /> <br />auxiliary spil.L\-lay. Only .ll.nd.er an extremely tlbad luck sequence." of <br /> <br /> <br />h1.gh floods would there be any j'ustifica-tion for such .prote.ction. <br /> <br />. <br />