中文摘要：

森林是生态系统的重要组成部分,是人类生存和可持续发展的宝贵资源。一旦发生森林火灾,将给森林生态系统和人类生命财产带来重大损失。通过分析渗透理论的思想,提出了基于二维渗透网格的森林火灾蔓延模型和相应的仿真算法,用来模拟森林树木的分布情况以及林火蔓延过程。理论分析与仿真实验结果表明,当网格单元处于开状态的概率接近0.6时,存在最大渗透簇。提出的模型较好地反映了森林分布密度对于火灾蔓延的影响规律,能对森林防火演练、火灾扑救、灾后损失评估以及森林资源管理起到一定的指导作用。与以往同类算法相比,提出的仿真算法降低了时间复杂度,算法效率有较大提高。

英文摘要：

Forests are important components of ecosystem and the valuable resources for human being. Once the forests are burned, much damage will be brought to the forest ecosystem and human being. A forest fire spread model and its simulation algorithm based on 2D percolation lattice were proposed, which could be used to simulate the forest fire evolution. The theoretical analysis and simulation experimental results show that, when the site concentration p is 0.6, the forest will approximately reach its percolation threshold The proposed model can describe the forest fire spread dynamics, and can improve the strategies for fire control and forest resource management. Moreover, the new simulation algorithm is more efficient than that of Borlawsky.