Geology Reference
In-Depth Information
6.8
Derivations
6.8.1
Vertical and Horizontal Exaggeration
From Fig. 6.50a, the dip of a marker on an unexaggerated profile is
tan
δ
=
v
/
h
,
(6.19)
and the thickness of a unit in terms of its vertical dimension is
t
=
L
sin (90 -
δ
)=
L
cos
δ
,
(6.20)
where
= unexaggerated dip,
t
= unexaggerated thickness, and
L
= unexaggerated
vertical thickness. Let the vertical exaggeration be
V
e
=
v
v
/
v
and the horizontal exag-
geration be
H
e
=
δ
h
h
/
h
, where
v
and
h
are the original horizontal and vertical scales
and the subscripts h and v indicate the exaggerated scale. The equations for the exag-
gerated dips (Fig. 6.50b) have the same form as Eq. 6.19:
Fig. 6.50.
Horizontal and vertical exaggeration.
a
Unexaggerated cross section.
b
Exaggerated horizontal
scale; horizontal exaggeration (
H
e
)=2:1.
c
Exaggerated vertical scale; vertical exaggeration (
V
e
)=2:1