基于渗流理论的三维无线传感网络的渗流密度与覆盖节点密度研究

为保证无线传感器网络的覆盖与连通，探索通信半径和感知半径的比值对三维无线传感网络覆盖与连通的影响，基于渗流理论，得到三维无线传感器网络中协作传输路径的重叠体积函数。考虑到通信半径和感知半径的比值与重叠体积函数的关系，得到重叠体积函数与通信半径和感知半径的比值对三维无线传感器网络渗流密度的影响。在此基础上，当通信半径和感知半径相等时，将得到的渗流密度与覆盖的节点密度结合，得到指定的覆盖率与覆盖的节点密度的关系。仿真实验证明，在三维无线传感器网络中，重叠体积与渗流密度成正比；通信半径和感知半径的比值与渗流密度成反比；随着指定的覆盖率的增加，所得到的覆盖的节点密度也随着增加。

Study on seepage density and coverage node density of three dimensional wireless sensor networks based on seepage theory

In order to ensure the coverage and connectivity of wireless sensor networks, this paper explored the influence of the ratio of communication radius to perceived radius on the coverage and connectivity of three-dimensional wireless sensor networks. Based on the seepage theory, it obtained the overlapping volume functions of cooperative transmission paths in three-dimensional wireless sensor networks. It obtained the relationship between the ratio of communication radius and perceived radius to overlapped volume function. It obtained the influence of the ratio of overlapped volume function to communication radius and perceived radius on the seepage density of three-dimensional wireless sensor networks. On this basis, when the radius of communication and the perceived radius are equal, it obtained the relationship between seepage density and node density, and obtained the relationship between the specified coverage and node density. Simulation results show that the overlap volume is proportional to the seepage density in three-dimensional wireless sensor networks. The ratio of the communication radius to the perceived radius is inversely proportional to the seepage density. With the increase of the specified coverage, the node density of the covered nodes increase.