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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 />

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