On the Chord Length Sampling in 1-D Binary Stochastic Media

Abstract

When the chord length sampling method is applied to solve radiation transport problems in random media where inclusions are randomly distributed in a background region, inaccuracy occurs due to two major factors: memory effect and boundary effect. In this article, by applying chord length sampling to solve fixed source and eigenvalue problems in 1-D binary stochastic media, an investigation on how and why these two effects give rise to the inaccuracy in the final solutions is performed. The investigation is based on a series of radiation transport simulations for the calculation of reflection rate, flux distribution, and effective multiplication factor.

Keywords:

• Chord Length Sampling
• Chord Length Probability Distribution Function
• Radiation Transport
• Random Media
• Monte Carlo Method

Acknowledgments

This work was performed under the auspices of the U.S. Nuclear Regulatory Commission Faculty Development Program under contract NRC-38-08-950.