Geology Reference
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(a)
14
Δ d=0.2 m
Δ d=0.75 m
Δ d=1.5 m
12
10
505.15
505.90
8
93.0
93.2
6
4
2
0
0
100
200
300
400
500
600
700
Figure 4.3 Nonuniform
sampling and interpolation
schemes of the Arguis ARM
series in Figure 4.2. (a) Sample
rate for ARM along the Arguis
formation, showing three
changes from Δd = 0.2 m from
0 to 93 m, Δd = 0.75 m from
93.2 to 505.15 m, and
Δd = 1.5 m from 505.9 to
800 m. The upward spikes
indicate gaps treated here as
nonuniform sampling and
downward spikes indicate
local nonuniform sampling
decisions based on outcrop
conditions. (b) Original
sampled ARM series (black
curve) compared with a
uniform Δd = 0.6757 m
sampled series (red curve),
computed with linear
interpolation using interp1.m
(see Appendix). The
horizontal line labeled
(c) refers to the detail shown in
(c) between 45 and 55 m,
showing that the interpolation
has missed high-frequency
variability (indicated by blue
arrows). (d) Detail between
600 and 650 m for an
interpolation computed with
spline interpolation and
Δd = 0.05 m using interp1.m ,
showing a large artifact
introduced between 620 and
630 m (indicated by blue
arrow). Such artifacts can be
reduced by defining a larger
Δd and can be avoided
altogether by using linear
interpolation.
Stratigraphic position (meters)
(b)
12
10
Original spacing
Δ d=0.6757m-linear
8
6
4
2
(c)
(d)
0
0
100
200
300
400
500
600
700
800
Stratigraphic position (meters)
(c)
3.5
Original spacing
Δ d=0.6757m-linear
3
2.5
2
46
48
50
52
54
Stratigraphic position (meters)
(d)
8
7
Original spacing
6
Δ d=0.05 m-spline
5
4
3
2
1
600
610
620
630
640
650
Stratigraphic position (meters)
 
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