A Study on the Iterative Scheme for Stratified Shields Gamma Ray Buildup FactorsUsing Layer-Splitting Technique in Double-Layer Shields
Authors: Sari F. Alkhatib, Chang Je Park, Gyuhong Roh
Abstract:
Theiterative scheme which is used to treat buildup factors for stratified shields is being investigated here using the layer-splitting technique.A simple suggested formalism for the scheme based on the Kalos’ formula is introduced, based on which the implementation of the testing technique is carried out.
The second layer in a double-layer shield was split into two equivalent layers and the scheme (with the suggested formalism) was implemented on the new “three-layer” shieldconfiguration.The results of such manipulation on water-lead and water-iron shields combinations are presented here for 1MeV photons.
It was found that splitting the second layer introduces some deviation on the overall buildup factor value. This expected deviation appeared to be higher in the case of low Z layer followed by high Z. However, the overall performance of the iterative scheme showed a great consistency and strong coherence even with the introduced changes. The introduced layer-splitting testing technique shows the capability to be implemented in test the iterative scheme with a wide range of formalisms.
Keywords: Buildup Factor, Iterative Scheme, Stratified Shields
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337185
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1648References:
[1] Hideo Hirayama and Kanzuo Shin, "Application of the EGS4 Monte Carlo Code to a Study of Multilayer Gamma-Ray Exposure Buildup Factors of up to 40 mfp,”Journal of Nuclear Science and Technology, 35:11,816-829, 1998.
[2] Uei-Tyng Lin and Shiang Jiang, "A Dedicated Empirical Formula for γ –Ray Buildup Factors for a Point Isotropic Source in Stratified Shields,” Radiat. Phys. Chem. Vol. 48, No. 4, pp. 389-401, 1996.
[3] Kazuo Shin and Hideo Hirayama, "Calculation of Gamma-Ray Buildup Factors for Two-Layered Shields Made of Water, Concrete and Iron and Application ofApproximating Formula,”Radiat. Phys. Chem. 61 (2001) 583-584.
[4] Yoshiko Harima and Yasushi Nishiwaki, "An Approximate Transmission DoseBuildup Factor for Stratified Slabs,”Journal of Nuclear Science and Technology, 6:12, pp. 711-714, 1969.
[5] MevlutGuvendik and Nicholas Tsoulfanidis, "Formulas Giving Buildup Factor for Double-Layered Shields,” Nuclear Technology, Vol. 131, 332-336, 2000.
[6] Kazuo Shin and Hideo Hirayama, "Description of Multilayered Gamma-Ray Exposure Buildup Factors up to 40 mfp by the Approximating Model,”Journal of Nuclear Science and Technology, Vol. 35, No. 12, pp. 865-873, 1998.
[7] Ali Assad, Maurice Chiron, Jean Claude NimalCheikhM’backeDiop, and Philippe Ridoux,"General Formalism for calculating Gamma-Ray Buildup Factors in Multilayer Shields into MERCURE-6 Code,’ Journal of Nuclear Science and Technology, Supplement 1, p. 493-497 (March, 2000).
[8] Christophe Suteau, Maurice Chiron and Gilles Arnaud, "Improvement of MERCURE-6’s General Formalism for Calculating Gamma-Ray BuildupFactors in Multilayer Shields,” Nuclear Science and Engineering: 147, 43-55, 2004.
[9] KresimirTrontl, TomislavSmuc and DubravkoPevec, "Support Vector Regression Model for the Estimation of γ-Ray Buildup Factors for Multi-layer Shields,” Ann. Nucl. Energy 34 (2007) 939-952.
[10] J. Kenneth Shultisand Richard E. Faw, Radiation Shielding. American Nuclear Society, Inc. La Grange Park, Illinois 60526 USA, 2000.