Abstract: Most of the wireless sensor nodes on the inner wall use radial linear and radial V-shaped deployment. In view of the problem of how wireless sensor nodes in 3D space achieve single seamless coverage at the mine roadway of rectangular, by analyzing the geometric size of mine roadway, this paper deduces the minimum node sensing radius in the above mentioned two kinds of deployment, further deduces the function relationship between the node coverage density and the node sensing radius, height, width of mine roadway. Comparing two deployment types node coverage density provides powerful basis for real use to choice node deployment. Simulation results demonstrate the validity of the derived results. According to the geometrical size of the mine roadway, with the above conclusions, it can directly calculate the minimum node sensing radius whose nodes have to satisfy, deployment method, installation position, and the node coverage density, consequently improves effectiveness of node coverage, and achieves the purpose of reducing project cost.

Key words: rectangular cross section, 3D space, seamless coverage, sensing radius, coverage density

摘要： 无线传感器节点在矿井巷道内壁上多采用径向直线型和径向V字型部署。针对矩形截面矿井巷道的无线传感器节点如何在三维空间实现单重无缝覆盖的问题，通过分析巷道几何尺寸，推导出其节点在两种部署类型中的最小感知半径；进一步推导出其节点覆盖密度与节点感知半径、巷道高度、巷道宽度之间的函数关系，比较两种部署类型节点覆盖密度，为现实运用选择节点部署方式提供有力依据。仿真实验验证了推导结果的正确性。利用推导的结论结合矿井的几何尺寸，可直接计算出节点必须满足的最小感知半径、部署方法、部署位置和覆盖密度，从而提高节点覆盖的有效性，减少工程成本支出。

关键词: 矩形截面, 三维空间, 无缝覆盖, 感知半径, 覆盖密度