Применение квадратичной интерполяции на примере нахождения глубины зоны возможного заражения аварийно химически опасными веществами

Abstract

Introduction. When calculating the depth and angle of the zone of possible damage by emergency chemically hazardous substances distributed by air masses, the old, simplified methodology set out in the guidance document RD 52.04.253-90 is used. This technique has a number of limitations, which can significantly affect the resulting size of the affected area and the establishment of other consequences of the accident and measures necessary for its elimination. In the latest version of Building Codes and Regulations SNiP 2.01.51-90 dated 11/26/2020: in code of practice SP 165.1325800.2014, this technique is also used. The purpose of the study is to develop a method for determining the depth and angle of the zone of possible damage during the release of an emergency chemically hazardous substance using quadratic interpolation at input data values other than those provided by the methods of the currently used methodology. Methods. The research uses methods of system analysis, linear algebra, analytical geometry, mathematical statistics. Results and their discussion. The conducted research when calculating the depth of the zone of possible damage by emergency chemically hazardous substances by the proposed method showed that quadratic interpolation mainly gives an increase in the depths of the zones of possible damage, while linear approximation with the same data always reduces the size in comparison with the values taken from the reference tables. Conclusions. The proposed method will be especially useful when finding the angular dimensions of the zone of possible damage, since they are selected too inaccurately. In addition, according to the quadratic interpolation data, it is possible to find optimal (maximum and minimum) values of the depth and angle of the zone of possible damage by emergency chemically hazardous substances. The results of this study can also help in the long term when assessing risks in real time and provide support to decision makers in responding to emergencies. Keywords: emergency chemical hazardous substances; forecasting; affected area; quadratic interpolation; linear approximation.