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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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