WATER SUPPLY 225
creeps along them by “ capillary attraction”; it may thus
rise against gravity, but it cannot be forced through by
pressure of a “ head ” of water. Larger tubes and spaces are
super-capillary, and water is driven through them by gravity
and gas-pressure. In small tubes, which may be compared
to the small fissures and passages in rocks, the flow of water
is controlled by friction, which increases directly with a
decrease in diameter and with an increase in length, increases
as the square of the velocity, and increases with the roughness
of the inner surface of the tube.
In tropical and warm temperate countries with an annual
rainfall of less than 20 or 25 inches, and a fine-grained
uniform soil, run-off and evaporation may remove the
whole of the rainfall, and there be none left for percolation.
Nevertheless the upper layers of the crust have been often
represented as so charged with water that a deep well will
be successful anywhere. A. Delesse (Bull. Soc. Géol. Fr. (2),
xix, 1861, p. 64) estimated the amount of subterranean
water as about equal to that in the oceans, and Slichter
(U.S.G.S., Water Sup. Pap., No. 67, 1902, pp. 14-15) accepted
a third of this quantity. The existence of this subterranean
sea was based on the principle that a current of water uses
the whole channel open to it. Thus when a stream of water
enters a trough at one point and flows out at the opposite
point, it does not pass straight across the trough ; the current
widens and deepens till all the water shares in the movement.
Hence it was held that water percolating through the crust
must spread widely downward and sideways until it saturates
the crust. Deep bore holes and mines, however, after
passing through a wet zone often reach rocks that are quite
dry, although they were deposited in the sea and must have
been saturated with connate water.
The slope of the water-table depends on the friction.
Water poured into an empty U-tube rises to the same level
in both arms, because the friction is negligible. If the tube
be filled with sand, the friction is appreciable, and water
poured into one arm rises slowly in the other; if the lower
part of the tube be filled with clay the water only penetrates
the clay by surface-tension, and the ‘‘ head ™ or pressure of
the water has no effect, and none passes through the clay
into the other arm.