Inspection control and supervisory activities are one of the important mechanisms of proactive industrial safety. Corporate control ensures early detection of security violations and their prompt elimination to prevent accidents. The expected prevented damage at hazardous production facilities is considered one of the efficiency factors of inspection activities. In order to assess the expected prevented damage (direct or indirect), the number of expected incidents and damage for each event must be calculated.
An approach to the assessment of the number of prevented events based on the pyramid of incidents (Heinrich’s pyramid, Berd’s pyramid) by supplementing it with the level of detected violations has been proposed. The number of prevented incidents can be assessed within the framework of deterministic and scholastic approaches. The study focuses mainly on building and analysis of the ratio of the number of incidents between different levels of the pyramid within the framework of the deterministic approach. The accident statistics at oil and gas industry facilities has been analyzed; Heinrich’s hypothesis regarding the type of dependence between the pyramid levels has been tested; and coefficients of the injury rate pyramid have been determined. To find the final coefficients of the improved pyramid of an oil and gas company, the method of coefficient calculation with accumulations for each year has been chosen. It has been demonstrated that traditional values of coefficients of Heinrich’s pyramid and those obtained as a result of calculations do not comply, which can be explained by the significant difference in industrial technologies and efficiency of occupational safety measures as of today and at the moment of initial building of Heinrich’s pyramid. Based on the regression analysis and other forecasting methods (the Holt method, the Brown exponential smoothing method, the ARIMA model, and the moving average extrapolation method), modeling and forecasting injury rate factors have been conducted. The comparative analysis of methods to forecast the number of accidents has been carried out. It has been shown that it is advisable to apply the linear regression model to predict injury rates.
2. Lukyanchikov M.I., Lesnykh V.V. On one approach to assessing the efficiency of inspection and control activities. Bezopasnost Truda v Promyshlennosti = Occupational Safety in Industry. 2020. № 11. pp. 63–68. (In Russ.). DOI: 10.24000/0409-2961-2020-11-63-68
3. Marshal P., Hirmas A., Singer M. Heinrich's pyramid and occupational safety: A statistical validation methodology. Safety Science. 2018. Vol. 101. pp. 180–189. DOI: 10.1016/j.ssci.2017.09.005
4. Lesnykh V.V., Timofeeva T.B. Methodological aspects of risk analysis of intersystem accidents. Moscow, Vologda: Infra-Inzheneriya, 2024. 140 p. (In Russ.).
5. Heinrich H.W. Industrial accident prevention: A scientific approach. 4th Ed. New York: McGraw-Hill Inc., 1959. 480 p.
6. Bird F.E., Germain G.L. Damage Control: New Horizon in Accident Prevention and Cost Improvement. American Management Association, 1966. 176 р.
7. Anderson M., Denkl M. The Heinrich Accident Triangle — Too Simplistic Model for HSE Management in the 21st Century? SPE International Conference on Health, Safety, and Environment in Oil and Gas Exploration and Production. Rio de Janeiro, 2010. DOI: 10.2118 / 126661-МС
8. Zakharov P., Peresypkin S. Occupational safety culture: the human factor from the perspective of international practices. Мoscow: Intellektualnaya literatura, 2022. 126 p. (In Russ.).
9. Kondratenko V. Industrial safety: leadership of line managers. Sistemy bezopasnosti = Security Systems. 2021. № 5. pp. 66–67.
10. Panov I. Increasing labor productivity through zero injury rate. Production Management. Available at: https://up-pro.ru/library/production_management/productivity/nulevoj-travmatizm/ (accessed: March, 16). (In Russ.).
11. Kuznetsova E.A. Accident investigation methods in linear and non-linear systems. Ekonomika, predprinimatelstvo i pravo = Economics, entrepreneurship and law. 2020. Vol. 10. № 12. pp. 3149–3176. (In Russ.). DOI: 10.18334/epp.10.12.111379
12. Loginovskiy V.A. Heinrich’s law: expansion of risk assessment matrix into human factor area. Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S.O. Makarova = Bulletin of the Admiral Makarov State University of Maritime and Inland Shipping. 2018. Vol. 10. № 4. pp. 696–704. (In Russ.). DOI: 10.21821/2309-5180-2018-10-4-696-704
13. Lesnykh V., Lukyanchikov M., Timofeeva T. Prevented Damage as Efficiency Indicator of Inspection and Control Activity. Proceedings of the 31st European Safety and Reliability Conference (ESREL 2021). Anger, 2021. pp. 1200–1205. DOI: 10.3850/978-981-18-2016-8_098-cd
14. Lukyanchikov M.I., Lesnykh V.V., Nemchin Yu.V., Timofeeva T.B. Analysis of the Incident Pyramid to Assess the Expected Prevented Damage. Bezopasnost Truda v Promyshlennosti = Occupational Safety in Industry. 2023. № 1. pp. 42–47. (In Russ.). DOI: 10.24000/0409-2961-2023-1-42-47
15. Lesnykh V., Lukyanchikov M., Timofeeva T. Safety pyramid analysis in energy systems. Proceedings on Engineering Sciences. Vol. 5. №. 2. 2023. pp. 213–218. DOI: 10.24874/PES05.02.003
16. On determining the severity of health damage at industrial accidents: the Order of the Ministry of Health and Social Development of the Russian Federation № 160 of February 24, 2005. Available at: https://docs.cntd.ru/document/901927104 (accessed: March 16, 2024). (In Russ.).
17. Pisareva O.M. Methods of forecasting the development of socio-economic systems: study manual. Мoscow: Izd-vo «Vysshaya shkola», 2007. 590 p. (In Russ.).