Ueki 3-layer shielding experiment (Type 3)

A californium-252 neutron source of intensity $5.33 \cdot 10^8$ n/s is placed into a conic paraffin collimator. The goal is computation of neutron and secondary (capture) gamma dose rates behind 3-layered shield of steel ($t$ cm) - polyethylene ($15$ cm) - steel ($25 - t$ cm) slabs, where $t$ determines the position of the polyethylene slab and can take the following values: $0$, $5$, $10$, $15$, $20$, $25$. That is, there are six computational cases in total.

Figure 1: Cross-section of the model for the case $t=15$ cm

In this calculation, the following techniques are used:

  • Expected-value estimators;
  • Exponential transform (actually demanded for secondary gamma only);
  • Simplified adaptive splitting.

The primary computational gain is achieved here thanks to the simplified adaptive splitting and exponential transform (for secondary gamma) techniques.

Computed flux functional - rates of equivalent dose ANSI 77 [2].

Thicknesses of volumetric detectors are equal to 2 cm. Results of the six computations, each took approximately 3 hours, are presented in Figures 2 and 3 (see details in [3]).

(a) Neutron
(a) Neutron
(b) Sec. Gamma
(b) Sec. Gamma
Figure 2: Dose rate (in μSv/h) and 1σ relative error plots. Clickable.

References

  1. K. Ueki, A. Ohashi, Nobuteru Nariyama, S. Nagayama, T. Fujita, K. Hattori, and Y. Anayama. Systematic evaluation of neutron shielding effects for materials. Nuclear Science and Engineering, 124:455-464, 10 1996.
  2. American National Standard: neutron and gamma-ray ux-to-dose rate factors. American Nuclear Society, United States, 1977.
  3. V.G. Mogulian. An approach to radiation shielding evaluations using estimators by expected scoring. 2025. doi:10.5281/zenodo.16781416.