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The Water Supply and Distribution System of the Nabataean City of ...

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Charles R. Ortl<strong>of</strong>f<br />

Figure 3. Elevated water channel/piping system on west face <strong>of</strong> El Khubtha<br />

Mountain.<br />

that collected from rainfall run<strong>of</strong>f for urban housing<br />

needs <strong>and</strong> rituals at nearby tomb complexes. While<br />

run<strong>of</strong>f capture probably supplied <strong>the</strong> Zurraba reservoir,<br />

local spring sources, including Ain Mousa, were<br />

also important in <strong>the</strong> early phase <strong>of</strong> city development<br />

<strong>and</strong> may have also contributed water to <strong>the</strong> reservoir.<br />

Although reservoir water could be used to supplement<br />

<strong>the</strong> Siq channel, Ain Mousa water supplies were later<br />

switched to a piping system <strong>and</strong> <strong>the</strong> open channel<br />

was ab<strong>and</strong>oned. Rainfall run<strong>of</strong>f <strong>and</strong> spring flow still<br />

enabled <strong>the</strong> Zurraba reservoir to supplement <strong>the</strong> Siq<br />

pipeline when required. Although <strong>the</strong> modern town<br />

has obliterated ancient hydraulic connections to <strong>and</strong><br />

from <strong>the</strong> reservoir, <strong>the</strong>re is no topographical constraint<br />

to a channel path which would have directed reservoir<br />

water into <strong>the</strong> open channel (or into a later pipeline<br />

system) to provide supplementary water supply. <strong>The</strong><br />

Jebel el Khubtha pipeline, by contrast, appears to be<br />

<strong>the</strong> main outflow path for reservoir water in <strong>the</strong> area<br />

between Jebel el Khubtha <strong>and</strong> Wadi Mataha (B;2, C;2).<br />

Surplus water, after filling <strong>the</strong> cistern, was directed to<br />

<strong>the</strong> main city fountain (Nymphaeum 42, B;2) through<br />

ei<strong>the</strong>r a pipeline or subterranean channel. Although no<br />

traces <strong>of</strong> this connection have been excavated, pipeline<br />

fragments in <strong>the</strong> area suggest this connection. From<br />

a systems point <strong>of</strong> view, <strong>the</strong> Zurraba reservoir served<br />

principally to maintain cistern levels in <strong>the</strong> royal tomb<br />

area by intermittent water release. <strong>The</strong> Ain Mousa<br />

spring, on <strong>the</strong> o<strong>the</strong>r h<strong>and</strong>, provided <strong>the</strong> continuous<br />

supply for <strong>the</strong> Nymphaeum through piping supported<br />

in a carved channel through <strong>the</strong> Siq (Figs. 5a & b) that<br />

replaced <strong>the</strong> earlier open channel. <strong>The</strong> Zurraba reser-<br />

98<br />

voir thus served as a backup system<br />

for rapid delivery <strong>of</strong> large volumes<br />

<strong>of</strong> water at short notice to <strong>the</strong> Jebel el<br />

Khubtha cisterns <strong>and</strong> served to augment<br />

<strong>the</strong> continuous, but declining,<br />

water supply to <strong>the</strong> Nymphaeum<br />

from <strong>the</strong> Ain Mousa spring during<br />

dry seasons. <strong>The</strong> ability to provide<br />

an ‘on-dem<strong>and</strong>’ water supply from<br />

this backup source would have<br />

been most useful to large caravans<br />

entering <strong>the</strong> city that would place<br />

a sudden dem<strong>and</strong> on water supply<br />

<strong>and</strong> usage.<br />

Pipeline carrying capacity<br />

considerations: <strong>the</strong> Zurraba-Jebel<br />

el Khubtha system<br />

While a spring produces a given<br />

volumetric flow rate, <strong>the</strong> limitation<br />

on how much can be transported by pipeline stems<br />

from its technical characteristics (diameter, internal<br />

roughness, slope <strong>and</strong> supply head). Piping design<br />

requires <strong>the</strong> spring output flow rate to match (or<br />

be less than) <strong>the</strong> <strong>the</strong>oretical carrying capacity <strong>of</strong> <strong>the</strong><br />

pipeline. Examination <strong>of</strong> <strong>Nabataean</strong> pipeline designs<br />

yields insights into <strong>the</strong>ir ability to underst<strong>and</strong> internal<br />

pipeline flow phenomena, <strong>and</strong> to construct solutions<br />

to overcome problems limiting maximum throughput.<br />

For an upper estimate <strong>of</strong> <strong>the</strong> volumetric flow rate that<br />

<strong>the</strong> Jebel el Khubtha pipeline system could sustain,<br />

it is assumed that <strong>the</strong> angle <strong>of</strong> about 0.005 shown by<br />

<strong>the</strong> elevated channel supporting <strong>the</strong> pipeline (Figs. 1<br />

& 3) corresponds to <strong>the</strong> critical flow angle (Morris &<br />

Wiggert 1972). <strong>The</strong> maximum flow height within <strong>the</strong><br />

piping is at critical depth equal to perhaps 50 per cent<br />

or more <strong>of</strong> <strong>the</strong> pipe diameter. This condition means<br />

that water flows in open channel mode through <strong>the</strong><br />

piping, with an airspace above <strong>the</strong> water surface, <strong>and</strong><br />

that <strong>the</strong> flow rate is maximum for given diameter <strong>and</strong><br />

slope. This type <strong>of</strong> hydrostatically unpressurized flow<br />

reduces leakage between socketed pipeline elements,<br />

while providing <strong>the</strong> <strong>the</strong>oretical maximum flow rate for<br />

low angle piping functioning in ei<strong>the</strong>r open channel or<br />

full flow mode. <strong>The</strong> maximum flow rate permissible<br />

<strong>the</strong>n would be <strong>the</strong> critical velocity x piping wetted<br />

cross-sectional area. For a fall in channel height <strong>of</strong><br />

about 40 m over <strong>the</strong> 8 km pipeline path around Jebel<br />

el Khubtha, <strong>the</strong> <strong>the</strong>oretical maximum volumetric flow<br />

rate is about 90 m 3 /hr for 20 cm diameter piping. In<br />

practice, owing to <strong>the</strong> many mortared joints between<br />

<strong>the</strong> 0.3 m terracotta piping segments (perhaps <strong>of</strong>

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