Report on the geology of the Henry MountainsGilbert, Grove Karl
Science
Report on the geology of the Henry Mountains
Gilbert, Grove Karl
Geology -- Utah -- Henry Mountains; Intrusions (Geology) -- Utah -- Henry Mountains
When a lava forced upward through the strata reaches the level at which
under the law of hydrostatic equilibrium it must stop, we may conceive
that it expands along some plane of bedding in a thin sheet, until its
horizontal extent becomes so great that it overcomes the resistance
offered by the rigidity of its cover, and it begins to uplift it. The
direction of least resistance is now upward, and the reservoir of lava
increases in depth instead of width. The area of a laccolite thus tends
to remain at its minimum limit, and may be regarded as more or less
perfectly an index of that limit.
In equations 1 and 2, if _f_ = _r_, then
_c_^2 _C_{ll}_ = _d c C_
or
_c_ = _d_(_C_/_C_{ll}_) (3)
That is to say, if the force exerted by the lava is barely sufficient to
overcome the resistance to uplift, then the circumference of the
laccolite is proportional to the depth of its cover. Or in other words,
the (linear) size of a laccolite is proportioned to its depth beneath
the surface.
If now we return from the faulted cylinder which for simplicity’s sake
has been hypothecated, to the actual cylinder which is surrounded by a
flexure instead of a fault, can we retain our conclusions? With certain
modifications I think we can. The strains developed in deformation by
flexure are less easy of analysis than those which arise in faulting,
but the two cases are in some degree analogous.
The expression (equation 2) for the force which the lava applies to
deformation is unaffected by the manner in which the strata yield.
The expression (equation 1) for the resistance to deformation by
faulting involves two terms, each in its simplest relations; the
resistance varies directly as the circumference of the laccolite, and it
varies directly as the depth of the cover. In order to pass to an
expression for the resistance to deformation by flexure, only one of
these terms need be changed. The resistance bears the same relation to
the circumference of the laccolite; but it is no longer simply
proportional to the depth of the cover. It varies more rapidly.
If the covering strata were all of a given thickness, were identical in
kind, and were free to slide upon each other without friction, their
total resistance to deformation would be equal to the resistance of a
single stratum multiplied by the number of strata. But since they are
not free to slide one upon another, they sustain each other, and the
resistance offered by the combination is greater than that product.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account