Project Cyclops, A Design... - Department of Earth and Planetary ...
Project Cyclops, A Design... - Department of Earth and Planetary ...
Project Cyclops, A Design... - Department of Earth and Planetary ...
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TABLE L-3<br />
r=l r=2<br />
AC = $566<br />
X n X s X (f-fla)<br />
n fla fib f2a f2b fla flb f2a f2b<br />
100 1 1.05 .987 1.12 1.10 1.22 1.07 1.26<br />
200 1 1.04 .989 1.09 1.07 1.18 1.06 1.27<br />
500 1 2.03 .993 1.06 1.05 1.12 1.04 1.18<br />
1000 1 1.02 .995 1.05 1.03 1.09 1.03 1.14<br />
2000 1 1.01 .997 1.03 1.02 1.06 1.02 1.10<br />
If the side tunnels are 8 ft in diameter <strong>and</strong> the main<br />
tunnels are 10 ft in diameter, the value r = 2 is about<br />
right. However, the main tunnels do not have to be<br />
larger for their entire lengths <strong>and</strong>, depending on their<br />
number, may not need any larger sections. With the 8-ft<br />
tunnel cross section shown in Figure L-3, about 8 sq ft<br />
or more <strong>of</strong> area is available for the IF cables. This will<br />
accommodate 1700 cables 7/8 in. in diameter or about<br />
500 cables 1-5/8 in. in diameter. The number <strong>of</strong> array<br />
elements that can be used without requiring larger main<br />
tunnels is given in the Table L-4.<br />
IF CABLE<br />
TABLE<br />
L4<br />
TUNNEL<br />
PATTERN<br />
DIAMETER la 1b 2a 2b<br />
7/8 in. 3432 6840 3430 10,360<br />
1-5/8 in. 1018 2050 1016 3,084<br />
Clearly, if we use the b patterns, or 7/8-in. cable, or<br />
both, very large arrays can be built without oversize<br />
main tunnels. In this case r = 1 <strong>and</strong> the cost difference<br />
between patterns is only a few percent-much less than<br />
our uncertainty in the basic price. Further, any difference<br />
is partially <strong>of</strong>fset by the saving in IF cable lengths<br />
when the b patterns are used.<br />
At the present state <strong>of</strong> refinement we can therefore<br />
estimate the tunnel cost as<br />
C = $600 X n X s (LI5)<br />
where the $600 is about 6% greater than the estimated<br />
cost <strong>of</strong> $566[m for 8 ft tunneling.<br />
However, in deciding among the various tunnel patterns,<br />
we must take account <strong>of</strong> the variations given in<br />
Table L-3. For convenience we compute the incremental<br />
cost over that represented by pattern la<br />
= $566 ns (f- l) (LISa)<br />
Using r = 1 <strong>and</strong> s = 300 m we obtain the incremental<br />
cost figures given in Table L-5<br />
TABLE L-5<br />
Excess Tunnel Cost Over That <strong>of</strong> Pattern I a<br />
ACI b A-.-C2a A---C2b<br />
($ million) ($ million) ($ million)<br />
100 0.85 -0.22 2.04<br />
200 1.39 -0.37 3.06<br />
500 2.21 -0.59 5.09<br />
1000 3.40 -0.85 8.15<br />
2000 4.75 -1.02 11.21<br />
GROUND<br />
LEVEL<br />
t5 V2 fI<br />