基于Matlab与实测数据重构采动煤层三维瓦斯压力场

Reconstruction of three-dimensional gas pressure field of mining coal seam based on Matlab and measured data

为掌握煤层瓦斯压力三维分布特征和瓦斯压力集中区位置,采用现场试验、理论分析的方法对瓦斯压力三维分布特征及受采掘扰动影响的变化规律进行研究。结果表明:瓦斯压力沿走向存在单驼峰状的峰值区,沿倾向不存在峰值区;开采扰动强度越大,瓦斯压力峰值越大,峰值位置越靠近工作面。基于Matlab编程分别采用线性插值、样条插值和立方插值3种插值方法重构了远场煤层静态瓦斯压力场和近场煤层动态瓦斯压力场。比较插值结果可知,提出的基于最小二乘法拟合三次多项式的立方插值法较好地反映煤层瓦斯压力的三维分布特征,瓦斯压力场的平滑性和连续性均优于线性插值和样条插值的结果,没有出现不合理的突变,该插值法较真实地重构了煤层三维瓦斯压力场,为预测瓦斯压力集中区提供了依据。

In order to master the three-dimensional distribution of gas pressure of coal seam and the location of gas pressure concentrated area, the paper studied the distribution of gas pressure and the variation disturbed under mining by using the method of field test and theoretical analysis. The results show there is a single hump-shaped peak zone of gas pressure along strike, however, no peak zone along the tendency. The greater the mining disturbance, the greater the gas pressure peak, and the peak position closer to the working face. And the paper reconstructed static gas pressure field of far-field seam and dynamic gas pressure field of near-field seam by using three interpolation methods of linear interpolation, spline interpolation and cubic interpolation based on Matlab programming. It can be obtained through comparison of interpolation results that the proposed interpolation method based on least squares fitting cubic polynomial reflects the three-dimensional distribution of gas pressure better, the smoothness and continuity is better than that of linear interpolation and spline interpolation, and there isno unreasonable mutation, the interpolation method reconstructs the three-dimensional gas pressure field more authentically. It provides a basis for the prediction of the gas pressure concentrated zone.