Reconstruction of Gas Distribution Field in Working Face Based on Measured Data

摘要： 为研究采场瓦斯分布规律，及时发现瓦斯积聚位置及预防瓦斯突出，研究了工作面瓦斯分布场的重建技术。在对工作面瓦斯体积分数分布测量结果进行分析的基础上，探讨了对实测瓦斯体积分数数据的分析扩展原则。对比研究了3种不同插值方法用于瓦斯分布场的重建，其中双立方插值法较好的反映了工作面瓦斯分布情况，提出采用基于最小二乘法的二项式拟合进行双立方外插的瓦斯分布场重建方法。最后研究了减少测点对重建瓦斯分布场的影响，给出在重建瓦斯分布场时瓦斯监测仪的测量位置的设置原则。研究结果显示该瓦斯分布场重建方法可以真实反映采场瓦斯分布，在测量数据减少时具有很好的适应性。

关键词: 瓦斯分布场, 插值, 最小二乘法, 场重建

Abstract: To study the gas distribution law，find the gas accumulation location and prevent gas outburst in stope，we studied a reconstruction technology of gas distribution field in a woking face．By analyzing the gas concentration distribution in the coal face，the expansion principles on the measurement data of gas concentration were given．Meanwhile，three interpolation methods for the reconstruction of gas distribution field were compared，where the bicubic interpolation method can better reflect the gas distribution in the face．Hereby，a field reconstruction method of the bicubic extrapolation data based on binomial fitting of least-squares was presented．Finally，the influence of reducing measuring points on the reconstruction field of gas distribution was discussed，and then the installation principle of the gas monitor was given to reconstruct the gas distribution field better．The results show that this reconstruction method can present an accurate distribution of gas distribution in stope，and is also reliable when the measurement data is reduced．

Key words: gas distribution field, interpolation, least square method, field reconstruction