No one, I think, would affirm that the area of the fissures would be

one-hundredth the area of the land. For let us consider the strain

upon a single line drawn over the summit of the protuberance from a

point on its rim to a point opposite. Regarding the protuberance as a

spherical swelling, the length of the arc corresponding to a chord of

100 miles and a versed sine of 3 miles is 100.24 miles; consequently

the surface to reach its new position must stretch 0.24 of a mile, or

be broken. A fissure or a number of cracks with this total width

would relieve the strain; that is to say, the sum of the widths of all

the cracks over the length of 100 miles would be 420 yards. If,

instead of comparing the width of the fissures with the length of the

lines of tension, we compared their areas with the area of the

unfissured land, we should of course find the proportion much less.

These considerations will help the imagination to realise what a small

ratio the area of the open fissures must bear to the unfissured crust.

They enable us to say, for example, that to assume the area of the

fissures to be one-tenth of the area of the land would be quite

absurd, while that the area of the fissures could be one-half or more

than one-half that of the land would be in a proportionate degree

unthinkable. If we suppose the elevation to be due to the shrinking

or subsidence of the land all round our assumed circle, we arrive

equally at the conclusion that the area of the open fissures would be

altogether insignificant as compared with that of the unfissured

crust.

To those who have seen them from a commanding elevation, it is

needless to say that the Alps themselves bear no sort of resemblance

to the picture which this theory presents to us. Instead of deep

cracks with approximately vertical walls, we have ridges running into

peaks, and gradually sloping to form valleys. Instead of a fissured

crust, we have a state of things closely resembling the surface of the

ocean when agitated by a storm. The valleys, instead of being much

narrower than the ridges, occupy the greater space. A plaster cast of

the Alps turned upside down, so as to invert the elevations and

depressions, would exhibit blunter and broader mountains, with

narrower valleys between them, than the present ones. The valleys

that exist cannot, I think, with any correctness of language be called

fissures. It may be urged that they originated in fissures: but even

this is unproved, and, were it proved, the fissures would still play

the subordinate part of giving direction to the agents which are to be

regarded as the real sculptors of the Alps.

The fracture theory, then, if it regards the elevation of the Alps as

due to the operation of a force acting throughout the entire region,

is, in my opinion, utterly incompetent to account for the conformation

of the country. If, on the other hand, we are compelled to resort to

local disturbances, the manipulation of the earth's crust necessary to

obtain the valleys and the mountains will, I imagine, bring the

difficulties of the theory into very strong relief. Indeed an

examination of the region from many of the more accessible

eminences--from the Galenstock, the Grauhaupt, the Pitz Languard, the

Monte Confinale--or, better still, from Mont Blanc, Monte Rosa, the

Jungfrau, the Finsteraarhorn, the Weisshorn, or the Matterhorn, where

local peculiarities are toned down, and the operations of the powers

which really made this region what it is are alone brought into

prominence--must, I imagine, convince every physical geologist of the

inability of any fracture theory to account for the present

conformation of the Alps.

A correct model of the mountains, with an unexaggerated vertical

scale, produces the same effect upon the mind as the prospect from one

of the highest peaks. We are apt to be influenced by local phenomena

which, though insignificant in view of the general question of Alpine

conformation, are, with reference to our customary standards, vast and

impressive. In a true model those local peculiarities disappear; for

on the scale of a model they are too small to be visible; while the

essential facts and forms are presented to the undistracted attention.

A minute analysis of the phenomena strengthens the conviction which

the general aspect of the Alps fixes in the mind. We find, for

example, numerous valleys which the most ardent plutonist would not

think of ascribing to any other agency than erosion. That such is

their genesis and history is as certain as that erosion produced the

Chines in the Isle of Wight. From these indubitable cases of

erosion--commencing, if necessary, with the small ravines which run

down the flanks of the ridges, with their little working navigators at

their bottoms--we can proceed, by almost insensible gradations, to the

largest valleys of the Alps; and it would perplex the plutonist to fix

upon the point at which fracture begins to play a material part.

In ascending one of the larger valleys, we enter it where it is wide

and where the eminences are gentle on either side. The flanking

mountains become higher and more abrupt as we ascend, and at length we

reach a place where the depth of the valley is a maximum. Continuing

our walk upwards, we find ourselves flanked by gentler slopes, and

finally emerge from the valley and reach the summit of an open col, or

depression in the chain of mountains. This is the common character of

the large valleys. Crossing the col, we descend along the opposite

slope of the chain, and through the same series of appearances in the

reverse order. If the valleys on both sides of the col were produced

by fissures, what prevents the fissure from prolonging itself across

the col? The case here cited is representative; and I am not

acquainted with a single instance in the Alps where the chain has been

cracked in the manner indicated. The cols are simply depressions; in

many of which the unfissured rock can be traced from side to side.

The typical instance just sketched follows as a natural consequence

from the theory of erosion. Before either ice or water can exert

great power as an erosive agent, it must collect in sufficient mass.

On the higher slopes and plateaus--in the region of cols--the power is

not fully developed; but lower down tributaries unite, erosion is

carried on with increased vigour, and the excavation gradually reaches

a maximum. Lower still the elevations diminish and the slopes become

more gentle; the cutting power gradually relaxes, until finally the

eroding agent quits the mountains altogether, and the grand effects

which it produced in the earlier portions of its course entirely

disappear.

I have hitherto confined myself to the consideration of the broad

question of the erosion theory as compared with the fracture theory;

and all that I have been able to observe and think with reference to

the subject leads me to adopt the former. Under the term erosion I

include the action of water, of ice, and of the atmosphere, including

frost and rain. Water and ice, however, are the principal agents, and

which of these two has produced the greatest effect it is perhaps

impossible to say. Two years ago I wrote a brief note 'On the

Conformation of the Alps,' [Footnote: Phil. Mag. vol. xxiv. p. 169]

in which I ascribed the paramount influence to glaciers. The facts on

which that opinion was founded are, I think, unassailable; but whether

the conclusion then announced fairly follows from the facts is, I

confess, an open question.

The arguments which have been thus far urged against the conclusion

are not convincing. Indeed, the idea of glacier erosion appears so

daring to some minds that its boldness alone is deemed its sufficient

refutation. It is, however, to be remembered that a precisely similar

position was taken up by many excellent workers when the question of

ancient glacier extension was first mooted. The idea was considered

too hardy to be entertained; and the evidences of glacial action were

sought to be explained by reference to almost any process rather than

the true one. Let those who so wisely took the side of 'boldness' in

that discussion beware lest they place themselves, with reference to

the question of glacier erosion, in the position formerly occupied by

their opponents.

Looking at the little glaciers of the present day--mere pigmies as

compared to the giants of the glacial epoch--we find that from every

one of them issues a river more or less voluminous, charged with the

matter which the ice has rubbed from the rocks. Where the rocks are

soft, the amount of this finely pulverised matter suspended in the

water is very great. The water, for example, of the river which flows

from Santa Catarina to Bormio is thick with it. The Rhine is charged

with this matter, and by it has so silted up the Lake of Constance as

to abolish it for a large fraction of its length. The Rhone is

charged with it, and tens of thousands of acres of cultivable land are

formed by the silt above the Lake of Geneva.

In the case of every glacier we have two agents at work--the ice

exerting a crushing force on every point of its bed which bears its

weight, and either rasping this point into powder or tearing it bodily

from the rock to which it belongs; while the water which everywhere

circulates upon the bed of the glacier continually washes the detritus

away and leaves the rock clean for further abrasion. Confining the

action of glaciers to the simple rubbing away of the rocks, and

allowing them sufficient time to act, it is not a matter of opinion,

but a physical certainty, that they will scoop out valleys. But the

glacier does more than abrade. Rocks are not homogeneous; they are

intersected by joints and places of weakness, which divide them into

virtually detached masses. A glacier is undoubtedly competent to root

such masses bodily away. Indeed the mere _à priori_ consideration of

the subject proves the competence of a glacier to deepen its bed.

Taking the case of a glacier 1,000 feet deep (and some of the older

ones were probably three times this depth), and allowing 40 feet of

ice to an atmosphere, we find that on every square inch of its bed

such a glacier presses with a weight of 375 lbs, and on every square

yard of its bed with a weight of 486,000 lbs. With a vertical pressure

of this amount the glacier is urged down its valley by the pressure

from behind. We can hardly, I think, deny to such a tool a power of

excavation.

The retardation of a glacier by its bed has been referred to as

proving its impotence as an erosive agent; but this very retardation

is in some measure an expression of the magnitude of the erosive

energy. Either the bed must give way, or the ice must slide over

itself. We get indeed some idea of the crushing pressure which the

moving glacier exercises against its bed-from the fact that the

resistance, and the effort to overcome it, are such as to make the

upper layers of a glacier move bodily over the lower ones--a portion

only of the total motion being due to the progress of the entire mass

of the glacier down its valley.

The sudden bend in the valley of the Rhone at Martigny has also been

regarded as conclusive evidence against the theory of erosion. 'Why,'

it has been asked, I did not the glacier of the Rhone go straight

forward instead of making this awkward bend?' But if the valley be a

crack, why did the crack make this bend? The crack, I submit, had at

least as much reason to prolong itself in a straight line as the

glacier had. A statement of Sir John Herschel with reference to

another matter is perfectly applicable here: 'A crack once produced

has a tendency to run--for this plain reason, that at its momentary

limit, at the point at which it has just arrived, the divellent force

on the molecules there situated is counteracted only by half of the

cohesive force which acted when there was no crack, viz. the cohesion

of the uncracked portion alone' ('Proc. Roy. Soc.' vol. xii.

p. 678). To account, then, for the bend, the adherent of the fracture

theory must assume the existence of some accident which turned the

crack at right angles to itself; and he surely will permit the

adherent of the erosion theory to make a similar assumption.

The influence of small accidents on the direction of rivers is

beautifully illustrated in glacier streams, which are made to cut

either straight or sinuous channels by causes apparently of the most

trivial character. In his interesting paper 'On the Lakes of

Switzerland,' M. Studer also refers to the bend of the Rhine at

Sargans in proof that the river must there follow a pre-existing

fissure. I made a special expedition to the place in 1864; and though

it was plain that M. Studer had good grounds for the selection of this

spot, I was unable to arrive at his conclusion as to the necessity of

a fissure.

Again, in the interesting volume recently published by the Swiss

Alpine Club, M. Desor informs us that the Swiss naturalists who met

last year at Samaden visited the end of the Morteratsch glacier, and

there convinced themselves that a glacier had no tendency whatever to

imbed itself in the soil. I scarcely think that the question of

glacier erosion, as applied either to lakes or valleys, is to be

disposed of so easily. Let me record here my experience of the

Morteratsch glacier.

I took with me in 1864 a theodolite to Pontresina, and while there had

to congratulate myself on the aid of my friend Mr. Hirst, who in 1857

did such good service upon the Mer de Glace and its tributaries. We

set out three lines across the Morteratsch glacier, one of which

crossed the ice-stream near the well-known hut of the painter Georgei,

while the two others were staked out, the one above the hut and the

other below it. Calling the highest line A, the line which crossed

the glacier at the hut B, and the lowest line C, the following are the

mean hourly motions of the three lines, deduced from observations

which extended over several days. On each line eleven stakes were

fixed, which are designated by the figures 1, 2, 3, &c. in the

Tables.

Morteratsch Glacier, Line A.

No. of Stake. Hourly Motion.

1 0.35 inch.

2 0.49 inch.

3 0.53 inch.

4 0.54 inch.

5 0.56 inch.

6 0.54 inch.

7 0.52 inch.

8 0.49 inch.

9 0.40 inch.

10 0.29 inch.

11 0.20 inch.

As in all other measurements of this kind, the retarding influence of

the sides of the glacier is manifest: the centre moves with the

greatest velocity.

Morteratsch Glacier, Line B.

No. of Stake. Hourly Motion.

1 0.05 inch.

2 0.14 inch.

3 0.24 inch.

4 0.32 inch.

5 0-41 inch.

6 0.44 inch.

7 0.44 inch.

8 0.45 inch.

9 0.43 inch.

10 0.44 inch.

11 0.44 inch.

The first stake of this line was quite close to the edge of the

glacier, and the ice was thin at the place, hence its slow motion.

Crevasses prevented us from carrying the line sufficiently far across

to render the retardation of the further side of the glacier fully

evident.

Morteratsch Glacier, Line C.

No. of Stake Hourly Motion.

1 0.05 inch.

2 0.09 inch.

3 0.18 inch.

4 0.20 inch.

5 0.25 inch.

6 0.27 inch.

7 0.27 inch.

8 0.30 inch.

9 0.21 inch.

10 0.20 inch.

11 0.16 inch.

Comparing the three lines together, it will be observed that the

velocity diminishes as we descend the glacier. In 100 hours the

maximum motion of three lines respectively is as follows:

Maximum Motion in 100 hours.

Line A 56 inches

Line B 45 inches.

Line C 30 inches.

This deportment explains an appearance which must strike every

observer who looks upon the Morteratsch from the Piz Languard, or from

the new Bernina Road. A medial moraine runs along the glacier,

commencing as a narrow streak, but towards the end the moraine

extending in width, until finally it quite covers the terminal portion

of the glacier. The cause of this is revealed by the foregoing

measurements, which prove that a stone on the moraine where it is

crossed by the line A approaches a second stone on the moraine where

it is crossed by the line C with a velocity of twenty-six inches per

one hundred hours. The moraine is in a state of longitudinal

compression. Its materials are more and more squeezed together, and

they must consequently move laterally and render the moraine at the

terminal portion of the glacier wider than above.

The motion of the Morteratsch glacier, then, diminishes as we descend.

The maximum motion of the third line is thirty inches in one hundred

hours, or seven inches a day--a very slow motion; and had we run a

line nearer to the end of the glacier, the motion would have been

slower still. At the end itself it is nearly insensible. [Footnote:

The snout of the Aletsch Glacier has a diurnal motion of less than two

inches, while a mile or so above the snout the velocity is eighteen

inches. The spreading out of the moraine is here very striking.] Now

I submit that this is not the Place to seek for the scooping power of

a glacier. The opinion appears to be prevalent that it is the snout

of a glacier that must act the part of ploughshare; and it is

certainly an erroneous opinion. The scooping power will exert itself

most where the weight and the motion are greatest. A glacier's snout

often rests upon matter which has been scooped from the glacier's bed

higher up. I therefore do not think that the inspection of what the

end of a glacier does or does not accomplish can decide this question.

The snout of a glacier is potent to remove anything against which it

can fairly abut; and this power, notwithstanding the slowness of the

motion, manifests itself at the end of the Morteratsch glacier. A

hillock, bearing pine-trees, was in front of the glacier when Mr.

Hirst and myself inspected its end; and this hillock is being bodily

removed by the thrust of the ice. Several of the trees are

overturned; and in a few years, if the glacier continues its reputed

advance, the mound will certainly be ploughed away.

The question of Alpine conformation stands, I think, thus: We have,

in the first place, great valleys, such as those of the Rhine and the

Rhone, which we might conveniently call valleys of the first order.

The mountains which flank these main valleys are also cut by lateral

valleys running into the main ones, and which may be called valleys of

the second order. When these latter are examined, smaller valleys are

found running into them, which may be called valleys of the third

order. Smaller ravines and depressions, again, join the latter, which

may be called valleys of the fourth order, and so on until we reach

streaks and cuttings so minute as not to merit the name of valleys at

all. At the bottom of every valley we have a stream, diminishing in

magnitude as the order of the valley ascends, carving the earth and

carrying its materials to lower levels. We find that the larger

valleys have been filled for untold ages by glaciers of enormous

dimensions, always moving, grinding down and tearing away the rocks

over which they passed. We have, moreover, on the plains at the feet

of the mountains, and in enormous quantities, the very matter derived

from the sculpture of the mountains themselves.

The plains of Italy and Switzerland are cumbered by the _débris_ of the

Alps. The lower, wider, and more level valleys are also filled to

unknown depths with the materials derived from the higher ones. In

the vast quantities of moraine-matter which cumber many even of the

higher valleys we have also suggestions as to the magnitude of the

erosion which has taken place. This moraine-matter, moreover, can

only in small part have been derived from the falling of rocks upon

the ancient glacier; it is in great part derived from the grinding and

the ploughing-out of the glacier itself. This accounts for the

magnitude of many of the ancient moraines, which date from a period

when almost all the mountains were covered with ice and snow, and

when, consequently, the quantity of moraine-matter derived from the

naked crests cannot have been considerable.

The erosion theory ascribes the formation of Alpine valleys to the

agencies here briefly referred to. It invokes nothing but true

causes. Its artificers are still there, though, it may be, in

diminished strength; and if they are granted sufficient time, it is

demonstrable that they are competent to produce the effects ascribed

to them. And what does the fracture theory offer in comparison? From

no possible application of this theory, pure and simple, can we obtain

the slopes and forms of the mountains. Erosion must in the long run

be invoked, and its power therefore conceded. The fracture theory

infers from the disturbances of the Alps the existence of fissures;

and this is a probable inference. But that they were of a magnitude

sufficient to produce the conformation of the Alps, and that they

followed, as the Alpine valleys do, the lines of natural drainage of

the country, are assumptions which do not appear to me to be justified

either by reason or by observation.

There is a grandeur in the secular integration of small effects

implied by the theory of erosion almost superior to that involved in

the idea of a cataclysm. Think of the ages which must have been

consumed in the execution of this colossal sculpture. The question

may, of course, be pushed further. Think of the ages which the molten

earth required for its consolidation. But these vaster epochs lack

sublimity through our inability to grasp them. They bewilder us, but

they fail to make a solemn impression. The genesis of the mountains

comes more within the scope of the intellect, and the majesty of the

operation is enhanced by our partial ability to conceive it. In the

falling of a rock from a mountain-head, in the shoot of an avalanche,

in the plunge of a cataract, we often see more impressive

illustrations of the power of gravity than in the motions of the

stars. When the intellect has to intervene, and calculation is

necessary to the building up of the conception, the expansion of the

feelings ceases to be proportional to the magnitude of the phenomena.

*****

I will here record a few other measurements executed on the Rosegg

glacier: the line was staked out across the trunk formed by the

junction of the Rosegg proper with the Tschierva glacier, a short

distance below the rocky promontory called Agaliogs.

Rosegg Glacier.

No. of Stake. Hourly Motion.

1 0.01 inch.

2 0.05

3 0.07

4 0.10

5 0.11

6 0.13

7 0.14

8 0.18

9 0.24

10 0.23

11 0.24

This is an extremely slowly moving glacier; the maximum motion hardly

amounts to seven inches a day. Crevasses prevented us from continuing

the line quite across the glacier.

********************

X. RECENT EXPERIMENTS ON FOG-SIGNALS.

[Footnote: A discourse delivered in the Royal Institution, March 22,

1878.]

The care of its sailors is one of the first duties of a maritime

people, and one of the sailor's greatest dangers is his proximity to

the coast at night. Hence, the idea of warning him of such proximity

by beacon-fires placed sometimes on natural eminences and sometimes on

towers built expressly for the purpose. Close to Dover Castle, for

example, stands an ancient Pharos of this description.

As our marine increased greater skill was invoked, and lamps

reinforced by parabolic reflectors poured their light upon the sea.

Several of these lamps were sometimes grouped together so as to

intensify the light, which at a little distance appeared as if it

emanated from a single source. This 'catoptric' form of apparatus is

still to some extent employed in our lighthouse-service, but for a

long time past it has been more and more displaced by the great lenses

devised by the illustrious Frenchman, Fresnel.

In a first-class 'dioptric' apparatus the light emanates from a lamp

with several concentric wicks, the flame of which, being kindled by a

very active draught, attains to great intensity. In fixed lights the

lenses refract the rays issuing from the lamp so as to cause them to

form a luminous sheet which grazes the sea-horizon. In revolving

lights the lenses gather up the rays into distinct beams, resembling

the spokes of a wheel, which sweep over the sea and strike the eye of

the mariner in succession.

Fragments of Science: A Series of Detached Essays, Addresses, and Reviews. V. 1-2 · 第 21 / 69 段