Risk of Hearing Loss Injury Caused by Multiple Flash Bangs on a Crowd
- 1 Department of Applied Mathematics and Statistics, University of California, Santa Cruz, CA, USA
- 2 US Department of Defense, Joint Non-Lethal Weapons Directorate, Quantico, VA, USA
- 3 Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA
Abstract
A flash bang is a non-lethal explosive device that delivers intensely loud bangs and bright lights to suppress potentially dangerous targets. It is usually used in crowd control, hostage rescue and numerous other missions. We construct a model for assessing quantitatively the risk of hearing loss injury caused by multiple flash bangs. The model provides a computational framework for incorporating the effects of the key factors defining the situation and for testing various sub-models for these factors. The proposed model includes 1) uncertainty in the burst point of flash bang mortar, 2) randomness in the dispersion of multiple submunitions after the flash bang mortar burst, 3) decay of acoustic impulse from a single submunition to an individual subject along the ground surface, 4) the effective combined sound exposure level on an individual subject caused by multiple submunitions at various distances from the subject, and 5) randomness in the spatial distribution of subjects in the crowd. With the mathematical model formulated, we seek to characterize the overall effect of flash bang mortar in the form of an effective injury area. We carry out simulations to study the effects of uncertainty and randomness on the risk of hearing loss injury of the crowd. The proposed framework serves as a starting point for a comprehensive assessment of hearing loss injury risk, taking into consideration all realistic and relevant features of flash bang mortar. It also provides a platform for testing and updating component models.
- Siniscalachi, J. (1998) Non-Lethal Technologies: Implications for Military Strategy, Air War College. Maxwell Air Force Base, Montgomery. https://doi.org/10.21236/ADA497488
- Davison, N. (2009) Non-Lethal Weapons. Palgrave Macmillan, London. https://doi.org/10.1057/9780230233980
- O’Rourke, R. (2015) Navy Irregular Warfare and Counterterrorism Operations: Background and Issues for Congress. U.S. Congressional Research Service RS22373.
- Department of Defense Directive (1996) Policy for Non-Lethal Weapons. Department of Defense Printing Office, Washington DC.
- Driels, M. (2014) Weaponeering: Conventional Weapon System Effectiveness. 2nd Edition, American Institute of Aeronautics and Astronautics (AIAA) Education Series, Reston.
- Smith, R. (1998) The Missing Tools Are “Off the Shelf”. Non-Lethal Defense III Proceedings, 25-26 February1998.
- Keenan, J.P. and Long, B.D. (2016) COIN and Stability Operations with Non-Lethal Weapons Employment. Marine Corps Gazette, 86-90.
- Burgei, W.A., Foley, E.E. and McKim, S.M. (2015) Developing Non-Lethal Weapons: The Human Effects Characterization Process.
- Chan, P., Ho, K. and Ryan, A.F. (2016) Impulse Noise Injury Model. Military Medicine, 181, 59-69. https://doi.org/10.7205/MILMED-D-15-00139
- Wang, H., Burgei, W.A. and Zhou, H. (2017) Interpreting Dose-Response Relation for Exposure to Multiple Sound Impulses in the Framework of Immunity. Health, 9, 1817-1842. https://doi.org/10.4236/health.2017.913132
- Wang, H., Burgei, W.A. and Zhou, H. (2018) Risk of Hearing Loss Caused by Multiple Acoustic Impulses in the Framework of Biovariability. Health, 10, 604-628. https://doi.org/10.4236/health.2018.105048
- Szabo, T.L. and Wu, J. (2000) A Model for Longitudinal and Shear Wave Propagation in Viscoelastic Media. The Journal of the Acoustical Society of America, 107, 2437-2446. https://doi.org/10.1121/1.428630
- Wang, H., Burgei, W.A. and Zhou, H. (2018) Asymptotics and Well-Posedness of the Derived Distribution Density in a Study of Biovariability. Applied Mathematics. (In Press)
- https://en.wikipedia.org/wiki/Stun_grenade
- Weightman, F.L., Flamme, G., Campenella, A.J. and Luz, G.A. (2010) American Institute of Biological Sciences Peer Review of Injury Prevention and Reduction Research Task Area Impulse Noise Injury Models. http://www.arl.army.mil/www/pages/343/AHAAH_AIBS_revew_Public_Release_11Aug14.pdf