森林火灾火场周长分形模型的研究

Study of the Fractal Perimeter Model of Forest Fire Spread

本文在分析森林火灾火场周长和边界分形特性的基础上，应用分形理论，建立了森林火灾火场周长的分形模型，导出了分形周长公式．并得出了分形周长不仅与火头蔓延速率、燃烧时间、风速和风向密切相关，而且与火场边界的分形特性和测量长度单位有关的结论．与传统的计算火场周长的方法比较，具有更合理、准确和更方便应用的特点．

Through analysing the perimeter of forest fire spread and the fractal characteristic of its border line,and applying the fractal theory,the fractal perimeter model of forest fire spread has been established,and the calculating formula of the fractal perimeter deduced.From the result,a conclusion has also been drawn that the fractal perimeter is closely related not only to the rate of fire head spread, combustion time,wind velocity and wind direction,but also to the fractal characteristic of the fire spread borderline and the length unit of measuring.Compared with the traditional method of calculating fire spead perimeters,the fractal perimeter model has more advantages in application.It is more rational,more accurate and more convenient.