Geoscience Reference
In-Depth Information
Fig. 11.20 Multifractal
analysis results for Au
mineral occurrences of
Fig. 11.19 .(a) Log-log plot
of mass-partition function
for selected values of q , dots
represent estimated values,
solid lines obtained by LS
fitting. (b) ˄ ( q ) vs. q .
(c) Multifractal spectrum
showing f (
a
7.0
6.0
5.0
4.0
q = 4
q = 3
q = 2
q = 1
q = 0
3.0
2.0
(Source:
Cheng and Agterberg 1995 ,
Fig. 5)
α
) vs.
α
1.0
0.0
0.3
0.5
0.7
0.9
1.1
1.3
1.5
Log e
b
4.0
3.0
2.0
1.0
0.0
−1.0
−2.0
0.0
1.0
2.0
3.0
4.0
q
c
1.4
1.2
1.0
0.8
0.6
0.4
0.2
0.0
0.6
0.8
1.0
1.2
1.4
1.6
a
autocorrelation model used in Sect. 11.3 . When
is not too large, this model
E
predicts the following approximate relationship:
2
n
o
p
ʻ 2 k
c
8
˄
ð 2 þ
2
E ˄ ðÞ 2
Þ ˄ ðÞ
2 k ˄ ðÞ þ
Þ ˄ ðÞ
1
ð
k
þ
1
ð
k
1
E
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