Journal of Radioanalytical and Nuclear Chemistry, Vol. 269, No.1 (2006) 63–68
0236–5731/USD 20.00 Akadémiai Kiadó, Budapest
© 2006 Akadémiai Kiadó, Budapest Springer, Dordrecht
Prediction of the radioactivity in Hazar Lake (Sivrice, Turkey)
by artificial neural networks
F. Kulahci,
1,
* A. B. Özer,
2
M. Doğru
1
1
Fırat University, Faculty of Arts and Science, Department of Physics, Elazığ, Turkey
2
Fırat University, Faculty of Engineering, Department of Computer Engineering, Elazığ, Turkey
(Received December 13, 2005)
This paper presents an Artificial Neural Network (ANN) model for determining the total radioactivity in Hazar Lake (Sivrice, Turkey). In order to
cope with complex calculations and experiments required for the determination of total radioctivity. The proposed ANN system employs the
individual training strategy with fixed-weight and supervised models. The simulation demonstrate the feasibility of the neural based model.
Compared to the classical methods, the proposed ANN-based model makes the processes much easier.
Introduction
Many environmental radioactivity determination
methods have been studied.
1–4
In these studies, the
environmental radioactivity have been determined and
the effects of these on humans and on the environment
have been investigated. The obtained data have been
envisaged by mathematical models. In these studies,
complex mathematical methods and difficult
experimental procedures were used,
5
whereas we obtain
the same result using an easier method. Determination of
the certain chemical parameters, such as pH, electrical
conductivity (EC), total hardness (TH) and the water
lake’s depth lead to the conditions that make possible a
quantitative estimate of the total beta- and total alpha-
radioactivity.
6
A relationship between the total alpha-, total beta-
radioactivity and the total hardness was found by
various scientific researches. Waters with high TH have
high levels of alpha- and beta-radioactivity.
6
For the
case of the total alpha-activity as a function of total
hardness, a linear behavior could only be established in
waters from granitic and quartzitic lithological types.
Mostly, these structures are also seen in Hazar Lake.
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Another factor which seems to have a decisive
influence on the radioactivity of the water is the pH. A
good linear behavior was found between pH and the
total beta-radioactivity. In all cases the obtained
regression coefficient is negative. Briefly, the ratio
between the activity of the radioactive isotopes and the
mass of the stable isotopes present in water decreases as
the pH rises.
8
In this study, an ANN based model was applied to
determine the total radioactivity in Hazar Lake. Since
ANN can approximate a wide range of non linear
functions to any desired degree of accuracy, recently
many researches have used neural networks on different
applications for identification and control of dynamic
* E-mail: fatihkulahci@firat.edu.tr
systems. However, the neural network is a static
mapping. Moreover, it has the advantages of extremely
fast parallel computation and fault tolerance
characteristics.
Experimental
Description of the area
Hazar Lake, located in the east of Turkey, is a
tectonic lake within East Anatolian Fault Zone. The long
axis is of about 20 km in the east-southeast and west-
southwest direction. The altitude is 1248 m above sea
level, and the surface area is 81 km
2
. The geologic form
of the mountains is suitable to absorb and hold the
radioactive minerals. The position of the lake and its
aerial picture are given in Fig. 1.
Determination of the chemical and physical parameters
An Orion 230A digital pH meter is used for pH
measurements. The EC measurements have been done
by using Jenway 4070 digital conductometer. The TH
measurements were made by a titrimetric method.
Data set
The radioactivity data set is taken from our previous
work recorded between 1998–2001 for the Hazar Lake.
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The average values of chemical measurements in the
same stations during 3 years are shown in Table 1. We
have obtained 45 chemical samples from all over the
lake, 10 of them were from the surface and 35 samples
from 12 different stations. The samples were taken from
surface, mid-level and bottom of the lake. The symbols
a, b and c were used for surface, mid-level and deep
sample of the same station, respectively.
The ANN calculations were made by using Matlab.
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