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Applied Radiation and Isotopes 62 (2005) 649–661
www.elsevier.com/locate/apradiso
Statistical factor analysis of aerial spectrometric data,Al-Awabed area, Syria: a useful guide for phosphate and
uranium exploration
J. Asfahani�, M. Aissa, R. Al-Hent
Geology Department, Atomic Energy Commission, P.O. Box 6091, Damascus, Syria
Received 26 June 2004; accepted 20 August 2004
Abstract
Factor analysis provides a quantitative interpretation for synthesizing and correlating data from airborne
spectrometric surveys. Factor analysis is applied on such data of Al-Awabed area, Northern Palmyrides. The seven
variables used in this research are: total radioactivity Ur1, eU, eTh, K%, eU/eTh, eU/K and eTh/K. The analysis and
interpretation show that a model of four factors (F1, F2, F3 and F4) is sufficient to represent them, where 94% of total
data variance is interpreted. Mapping of these four factors proved to be a powerful tool for a direct differentiation of
various rocks units, and a score lithological map of 11 radiometric units was established.
r 2004 Elsevier Ltd. All rights reserved.
Keywords: Uranium phosphate prospecting; Airborne spectrometric survey; Syria
1. Introduction
An airborne radiometric survey was carried out
during a project conducted in 1987 on some Syrian
regions in cooperation with the International Atomic
Energy Commission and Riso national laboratory SYR/
86/005 (Jubeli, 1990). It was found that gamma-ray
anomalies are mainly associated with phosphate depos-
its encountered in central Syria. The richest phosphorite
outcrops are in central southern Palmyrides, where they
have been economically mined from two mines for many
years, Khneifis and Al-Sharquieh, which are located
65 km and 45 km southwest of Palmyra, respectively
(Fig. 1). This paper presents a reinterpretation of the
airborne radiometric data of new phosphate deposits
e front matter r 2004 Elsevier Ltd. All rights reserve
radiso.2004.08.050
ing author. Tel.: +963 11 6111926; fax:
ess: [email protected] (J. Asfahani).
oelement (IAEA, 1976).
discovered through the airborne radiometric survey in
The Northern Palmyrides. This new discovery is based
on the proved relationship between radioactivity and
phosphate content. In fact, the total radioactivity (Ur)
map of the Northern Palmyrides from the airborne
survey shows a long narrow strip of anomalous total
radioactivity extending NE from Wadi Al-Awabed,
28 km northwest of the T4 oil pump station (Jubeli,
1998). Initially, the anomalous strip was linked with the
well-known phosphate deposits of Al-Rakheim. How-
ever, ground follow-up investigation of the anomalies
revealed another significant deposit represented by four
phosphate beds that outcrop in Wadi Rasm Al-Awabed.
The phosphate beds thicknesses ranges from 80 cm to
1.25m each with a total thickness of nearly 4m, and an
average P2O5 of 19.4% (Technoexport, 1967).
The main objective of this research is the reinterpreta-
tion of airborne gamma-ray spectrometric data of the Al-
Awabed area by using factor analysis technique, in order
to reconstruct a scored lithological map of the
d.
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Fig. 1. Simplified geological map of the Palmyrides Central Syria, showing Phosphatic deposits.
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661650
outcropping units. In fact, this technique is considered as a
powerful tool in providing a better description of the
geophysical data, and an assessment of the underlying
factors controlling their variance. Statistical characteristics
of each radioelement (eU, eTh, K%), and their ratios (eU/
eTh, eU/K, and eTh/K) are also examined for determining
and outlining the significant radiometric anomalies
occurring through the choice of a statistical threshold
value of two standard deviations plus the arithmetic mean.
2. Geological setting
The Palmyrides are located in Central Syria and are
subdivided into northern and southern ranges separated
by an intermontane extensive basin filled with Neogene–
Quaternary deposits, i.e., Ad-Ddaw. Sedimentary forma-
tions exposed in the Palmyrides range in age from the
Upper Triassic to Neogene (Fig. 1); among these, the
Soukhneh group is characterized by its significant
phosphorite deposits (Al-Maleh and Mouty, 1994). It is
composed mainly of two rock types: calcareous and
siliceous. The first type is dominated by limestone, marly
limestone, limy marl and marl with characteristic limy
concretionary structures of few centimeters up to 2m in
size. The siliceous rocks are composed of thin layered flint
bands, lenses and nodules. The Soukhneh group is divided
into two lithological formations (Rmah and Swwaneh).
Fig. 2 shows a typical geologic column of phosphatic
deposits in Central Syria (modified by Jubeli, 1998).
Phosphatic layers thicken in the Central Palmyrides and
thin eastwards until they pinch out under marl Arak and
Tantour formations. Phosphatic deposits in Syria can be
classified in two types, A and B (Fig. 1). Type A presents
the Upper Cretaceous phosphates, while Type B presents
Paleogene (Lower Eocene) Syrian Desert phosphorites.
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Fig. 2. Geological column of phosphatic deposits in central Syria.
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661 651
The phosphorite deposits in the region are
attributed to enrichment processes involving
phosphorus and plankton particles which indicates
a paleogeographic evolution related to Cenonian
transgression and the subsidence of the Arabian
Platform.
In addition, they are associated with primary and
secondary uranium mineralization. The former is
associated with phosphate precipitation while the latter
fills open cracks and pores, due to surface and subsur-
face water percolation (Abbas, 1987). Fig. 3 shows the
geological map of the Al-Awabed area.
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3. The airborne radiometric survey
The airborne radiometric survey was carried out using
a compact, lightweight, four windows gamma-ray
spectrometer (Scintrex GAD-6, Canada) with a detector
of 12.5 L NaI(Tl) volume. The detector was maintained
at constant temperature and the gain was stabilized
before recording each mission. The system calibration
took place at the calibration pads at the Dala airport in
Sweden (Riso, 1987). An IGI Loran-C navigation
system was used to provide efficient flight path control.
It defines and records automatically all the waypoints
and fiducials of the flight tracks along the flight lines.
Details of the equipment and the survey operations can
be found in (Riso, 1987). The area covered by the
airborne survey consists of the following three areas:
�
The Syrian Desert (7189 line km at 4 km line spacing).�
Ar-Rassafeh Badyieh (2240 line km at 4 km linespacing).
�
The Northern Palmyrides range (1600 line km at 3 kmspacing).
In all cases, a constant terrain clearance of 30m was
maintained as a standard survey height and the aircraft
speed was 120 km/h.
Fig. 3. Geological map o
Settings of the four gamma-ray energy windows are
listed in Table 1. Fig. 4 shows the regions surveyed and
the resulting radiometric map.
The research area is located in the Northern
Palmyrides to the northwest of T4 oil pump station,
and is situated between 371300000 0E and 371450000 0E, and
between 3414l0300 0N and 341540000 0N. Fig. 5 shows the
surveyed eight E–W oriented parallel flight lines, and the
resulting radiometric map. Ur, eU, eTh and K% were
measured at 5190 stationpoints, as were the coordinate
points by Loran-C.
4. Statistical analysis of the data
Radioactive measurements acquired by the spectro-
metric gamma technique applied in the research area
were subjected to quantitative and qualitative statistical
analysis in order to draw a valid conclusion regarding
the nature and significance of the distribution of the
radioelements in it. The applied statistical analysis
includes single variate and bivariate statistics. In
addition, some quantitative statistical measures were
determined, such as the threshold levels, frequently
defined as the mean plus two standard deviations, which
indicates the beginning of anomalous values.
f Al-Awabed area.
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4.1. Single variate analysis
Single variate statistics were used to describe the
statistical characteristics of the distribution of each
radioactive variable. These include range, arithmetical
Table 1
Specification of the counting windows
Window
designation
Window setting
(MeV)
Radioisotope
mainly detected
Potassium 1.38–1.56 40K
Uranium 1.66–1.90 214Bi
Thorium 2.44–2.77 208Tl
Total-count 0.40–2.77
Fig. 4. A: Areas surveyed by airborne gamma-ray spectrometry
mean ðx̄Þ; measures of dispersion of the data and
standard deviation (s), as shown in Table 2.
4.2. Bivariate analysis
Correlation analysis has been applied as a bivariation
statistics in order to examine the mutual relations and
strength of association between pairs of variables
through calculation of the linear Pearson product
moment correlation coefficient ‘‘r’’.
4.3. Factor analysis
It is a multivariate statistical technique by which
variables on a set of samples are linearly combined
. B: Radiometric map resulting from spectrometric survey.
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Fig. 5. A: Flight lines of the spectrometric airborne survey in Al-Awabed area. B: Resulting total radioactivity (Ur) in Al-Awabed
area.
Table 2
Statistical characterestics of the 7 radioactive variables in Al-Awabed area
Variable Case number Min Max X̄ s CV% � X � 2s
Ur 5190 0.03 25.90 5.88 3.11 52.89 12.1
K% 5190 0.02 0.72 0.265 0.103 38.86 0.471
eU 5190 0 22.33 3.04 2.69 88.57 8.417
eTh 5190 0.29 8.06 3.012 1.14 37.84 5.29
eU/eTh 5190 0 16.77 1.20 1.32 109.6 3.844
eU/K% 5190 0 254 13.50 15.23 112.8 43.96
eTh/K% 5190 1.72 105 12.29 5.21 42.39 22.71
CV: coefficient of variability ð¼ s=X̄n100Þ:
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661654
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Table 5
The four rotated factors
Factor variable 1 2 3 4
Ur 0.926 0.091 0.340 0.082
K% 0.024 0.478 �0.824 �0.011
eU 0.986 0.039 0.0142 0.075Th
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661 655
giving rise to new fundamental factors, which can be
named and interpreted based on geological reasoning.
The number of variables is reduced to a minimum
number of independent variables, which will adequately
describe the data.
This technique has been applied on airborne gamma-
ray spectrometric data from a survey performed in
South Texas (Duval, 1976), in the Colorado quadrangle
(Wecksung, 1982), and in several prospected areas in
Egypt (Moustafa et al., 1990).
Using this technique, a system of factors is obtained
through the transformation of the three radioelements
(eU, eTh, and K%), their ratios (eU/eTh, eU/K%, and eTh/
K%), and the total radioactivity (Ur). These new factors
are constrained to reproduce as much as possible the
total variance of the original data. Each original data
point gains factor scores, representing the affiliation of
the samples to the newly defined factors. The mapping
of factor scores produces a set of new maps. Compara-
tive study of these maps with a geological map serves as
a powerful tool in reinterpreting the data to provide
direct differentiation of all rocks units on a lithological
score map.
e �0.091 �0.221 �0.915 0.0748eU/eTh 0.854 0.149 0.299 �0.144
eU/K% 0.80 �0.326 0.261 �0.372
eTh/K% �0.05 �0.982 �0.0057 �0.027
Eigenvalue 3.126 1.695 1.588 0.155
% 44.654 24.215 22.688 2.22
Cum% 44.654 68.867 91.557 93.777
5. Results and discussion
By applying a single variate analysis, the statistical
characteristics of the distribution of each radioactive
Table 3
Correlation matrix of the 7 radiometric variables in Al-Awabed area
Variable Ur K% eU
Ur 1
K% 0.35 1
eU 0.92 0.03 1
eTh 0.21 0.65 �0.11
eU/eTh 0.69 �0.15 0.85
eU/K% 0.59 �0.35 0.76
eTh/K% �0.14 �0.47 0.09
Table 4
Unrotated factors
Variable F1 F2 F3
Ur 0.964 �0.134 0.202
K% 0.125 �0.755 0.531
eU 0.982 0.0611 �0.099
eTh 0.00091 �0.186 0.928
eU/eTh 0.82 0.094 �0.417
eU/K% 0.73 0.533 �0.204
eTh/K% �0.108 0.88 0.424
variable are determined for the Al-Awabed area
(Table 2).
The maximum equivalent uranium in the studied area
is 22.33 ppm, with an average of 3.04 ppm and a
standard deviation of 2.69 ppm.
Review of the computed coefficient of variability (CV)
of the radiometric variables (eU, eTh, and K%) showed
that uranium exhibits a relatively high value (88.57%),
when compared with those of thorium (37.84%) and
potassium (38.86%). A higher coefficient of variability
implies a lower degree of homogeneity. In other words,
the observed relative tendency of uranium toward
heterogeneity is interpreted to be attributed to the
relatively higher mobility of the uranium in comparison
eTh eU/eTh eU/K% eTh/K%
1
�0.39 1
�0.27 0.77 1
0.23 �0.19 0.29 1
F4 F5 F6 F7
0.0018 0.09 �0.008 0.03
0.194 0.12 0.03 0.002
�0.057 �0.002 0.0004 0.00
0.066 0.008 �0.003 0.00
0.116 0.006 0.004 0.00
0.307 0.1 0.002 0.00
�0.052 �0.02 0.003 0.00
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with Th and K, which show relatively higher stability
under the same conditions.
Asfahani (2002) adopted this concept as a critical
parameter distinguishing between phosphatic rocks and
phosphatic sands in Khneifiss mine by interpreting
natural gamma-ray well logging measurements through
a statistical approach.
Table 6
Factor score coefficients
Variable F1 F2 F3 F4
Ur 0.509 �0.00124 �0.796 0.119
K% �0.0576 0.128 �0.382 �0.465
eU 0.341 �0.069 0.665 1.452
eTh �0.661 �0.102 �0.376 �0.113
eU/eTh 0.0622 0.0553 0.0745 �0.221
eU/K% 0.155 �0.044 �0.025 �1.67
eTh/K% 0.0038 �0.883 �0.125 0.371
Fig. 6. Score map of F1
Bivariate correlation analysis is also carried out, and
the coefficient matrix between the seven data variables in
the research area is shown in Table 3.
This correlation matrix shows a cluster of high
positive correlation between three variables (Ur, eU
and eU/eTh), High positive correlations have also been
found between eU/eTh and eU/K (0.77), and between eU/
eTh and eU (0.85).
The above matrix is used to obtain the unrotated
loading matrix of Table 4. The unrotated factors are
difficult to be interpreted, and therefore it is necessary to
rotate them into another form, which is equivalent to the
original unrotated matrix, but represents factor con-
struction. This can be achieved by using the varimax
method (Comery, 1973), which allows a reduction from
the data system of seven dimensional factors into four
principal factors (F1, F2, F3 and F4) without losing
significant information.
The four rotated factors are quite interpretable and
represent 94% of the total system information, which is
in Al-Awabed area.
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Fig. 7. Score map of F2 in Al-Awabed area.
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661 657
sufficient to interpret the variable data as shown in
Table 5.
A high eigen value indicates the importance of each
factor for data representation. Factor 1 has a value of
3.126, whereas the other factors have lower values,
which indicates that the first factor is the most important
for representing the variation in the measurements.
The factor score coefficients of the four factors, shown
in Table 6, allow the construction of four standards
factor score maps (Figs. 6–9).
F1 explains 44.65% of the total variance, and has high
loading values of 0.926, 0.986, 0.854, and 0.8 for the
variables of total radioactivity (Ur), eU, eU/eTh, and eU/
K%, respectively (Table 5). This factor is therefore
composed of these four variables, and is directly related
to the U presence in the phosphate deposits outcropped
in the Al-Awabed area. Therefore it might be termed
uranium phosphate factor (U–P factor).
More than 43 detailed lithofacies cross-sections have
been established in the research area (Fig. 3) eight of
which were selected by F1.
Fig. 10 shows the correlation of the chosen lithofacies
cross-sections according to the profile P1–P2 of a
NE–SW direction. The thickness of the phosphatic layer
varies between 20 and 240 cm. Radioactive measure-
ments have been carried out along cross-sections by the
French SPP2 Saphymo. Phosphatic layers radioactivity
varies between 120 cps to more than 450 cps reflecting
P2O5 content and U concentration, since a positive
relationship between uranium concentrations and phos-
phate content have been established in most world
phosphate deposits (Afteh, 1967; Gavshin et al., 1974;
Altschuler, 1980; Abbas, 1987; Asfahani and Kamarji,
1996; Jubeli, 1998; Asfahani, 1999, 2002; Asfahani and
Abdul-hadi, 2001).
The second factor (F2) explains 24.21% of the
variability of the geophysical data. It is relatively highly
loaded for K% variable (0.478), and inversely highly
loaded for the ratio of eTh/K% (�0.982). This factor is
related to K presence and can distinguish between
different lithostratigraphic units according to their
alkalinity, therefore it can be termed a limestone factor
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Fig. 8. Score map of F3 in Al-Awabed area.
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661658
due to its association with chalky limestone intercalated
with siliceous and marly clay. The N–S deep drainage
network’s effect is incorporated in such facies with the
factor (F2) map, Fig. 7. This factor seems to be divided
into four variable levels, depending on carbonate and
marly clay contents in the lithostratigraphic units.
The third factor (F3) explains 22.69% of the data
variability, and is inversely highly loaded with K% and
eTh, where the loading values are �0.824 and �0.915,
respectively. This factor reflects tectonic effects, espe-
cially in the zones of hard rock exposures that are
fractured and faulted in NW and SE of the studied area.
Therefore, this factor can be termed fracturing factor.
According to this factor, connected with hard rocks
like limestone, dolomitic limestone, three classified
levels, were set.
The fourth factor (F4) explains only 2.22% of the
data variability, and is inversely loaded with the ratio of
eU/K% (�0.372). At this stage of research it is difficult
to be precisely determined, though it may be connected
with accumulated erosional products of phosphate rocks
in wadis and lowlands.
Eleven interpreted lithofacies units are determined
through the comparison and matching of the three
mentioned score maps with the geological map of the
study area, as shown in Fig. 11. Table 7 shows the
ranges of the standard factor scores characterizing the
outlining rock units of Al-Awabed area.
The investigation of the standard factor score map of
Fl, (Fig. 6) indicates clearly the outlining of the
following phosphatic highly radioactive rocks:
P1:
Detrital phosphate sand with fish bones and flintfragments.
P2:
Soft phosphate rocks with siliceous and calcareousnodules.
P3:
Phosphate rocks with siliceous and calcareousnodules.
P4:
Marly phosphate, interbeded with siliceous andcalcareous beds.
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Fig. 9. Score map of F4 in Al-Awabed area.
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The standard factor score map of F2 (Fig. 7) is capable
to distinguish the following geological units:
M1:
Marly beds with calcareous nodules.M2:
Organic limestone with siticeious intercaleted bands.M3:
Alternating of limestone and marly clay beds.M4:
Topsoil and eluvium.The standard factor score map of F3 (Fig. 8) distin-
guishes the following geological units:
C1:
Bio. Dolomitic limestone and clastic limestone.C2:
Marly limestone interbedded with siliceous bands.C3:
Chalk like limestone, noduler limestone, clay withbaryte concretion.
6. Conclusion
Factor analysis enables geologists and geophysicists
to produce rapid radiometric score maps with a
minimum amount of subjectivity. The resulting score
maps have the advantages that rock types are better
correlated on the basis of all variables rather than on a
subjective correlation and compilation of individual
profiles or contour map. This analysis provides a useful
guide to a field geologist to extend his knowledge on the
geology of an area under study to prepare a preliminary
geological map, with areas of anomalous geophysical
character indicated by certain patterns.
The computed factor scores are directly used and
matched with a geological map of the area to
differentiate between various lithological units. A scored
lithological unit map is consequently established, in
which 11 units have been distinguished.
Factor 1, termed Phosphate Uranium, is the most
important in this research. The other two factors 2 and 3
are related to the alkalinity and to fracturing zones,
respectively.
The factor analysis technique can be efficiently
applied in other interesting areas in regions under
survey for solving geological problems related to
uranium and phosphate prospecting.
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Fig. 10. Lithofacies cross-section, showing lateral variations of phosphate beds thickness and radioactivity, Al-Awabed area.
Fig. 11. Radiometric lithological score map of Al-Awabed area.
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661660
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Table 7
Standard factor score characterizing the rock units of Al-Awabed area
Factor Class From To Rock unit
F1 P1 4400 Phosphatic sand
P2 300 400 Soft phosphate rocks
P3 200 300 Phosphate rocks
P4 o200 Marly phosphate
F2 M1 450 Marl, Calcareous nodules
M2 25 50 Organic limestone, Flint bands
M3 0 25 Marly clay limestone
M4 o0 Top soil, eluvium
F3 C1 4100 Dolomitic limestone
C2 0 100 Marly limestone
C3 o0 Chalky limestone
J. Asfahani et al. / Applied Radiation and Isotopes 62 (2005) 649–661 661
Acknowledgement
The authors would like to thank Dr. I. Othman, The
General Director of Syrian Atomic Energy Commission
(SAEC), for his interest and permission to publish this
research.
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