基于Love型槽波频散特性的工作面煤厚解释方法

Interpretation method of coal seam thickness based on dispersion characteristics of Love channel waves

  • 摘要: 利用槽波频散特性反演煤厚是工作面煤厚解释的方法之一,然而槽波传播路径上煤厚线性 或非线性变化情况下,单频或窄带滤波难以兼顾槽波群速度的变化和不同接收点的槽波能量。 通 过三维数值模拟和工作面现场试验研究了煤厚变化模型的 Love 型槽波频散特征:槽波形成后向厚 煤区传播过程中频率变化小,能量衰减慢;而向薄煤区传播过程中槽波的能量快速衰减,主频向高 频方向移动,且槽波的高频成分占比增大。 厚煤区槽波的频散在频率上被压缩,随着接收点煤层厚 度的减小,基阶 Love 型槽波的频散在频率上被拉伸,且埃里相的频率向高频移动,埃里相的群速度 显著升高。 选取了煤厚变化在 1.55 ~ 8.09 m 的工作面进行槽波勘探试验,对实际槽波地震记录开 展了带宽为 50 Hz 的 4 个不同频段的宽频滤波,结果表明煤厚变化对低频段的 Love 型槽波速度影 响较大,随着频率的升高,不同煤厚的槽波群速度差异减小。 120 ~ 170 Hz 频段的槽波群速度对该 工作面煤层厚度有较大的响应区间,又兼顾了整个工作面槽波的发育。 对该频段 Love 型槽波群速 度进行了层析成像,采用三阶多项式拟合了巷道实际揭露煤厚与 Love 槽波群速度的相关关系,并 以此反演了工作面的煤厚分布。 在煤层厚度为 4 ~ 6 m 时,该频段 Love 型槽波群速度差异较小,对 煤层厚度的分辨能力有所降低。 因此,后续还需开展对槽波频段和频带宽度的精细研究来提高煤 厚解释的精度。

     

    Abstract: The inversion of coal seam thickness using the dispersion characteristics of channel waves is one of the main methods for the detection of coal seam thickness.However,the dispersion curve caused by the changes in coal seam thickness along the wave propagation path is different from the theoretical curve calculated by constant coal seam thickness.The tomography of a single frequency or narrow band filtering method is difficult in taking into account the change of group velocities and the energy of channel waves received in different locations,especially in the case of large coal seam thickness changes.In this case, the dispersion characteristics of Love channel waves caused by coal seam thickness changes were obtained by three dimensional numerical simulation and field test.The results show that once the channel wave forms, both the frequency and the energy of Love channel waves change weakly when the coal seam thickness increases. However,when the coal seam thickness decreases,the energy of Love channel waves attenuates rapidly.The main frequency moves to the high frequency direction, and the proportion of the high frequency components of the channel waves increases.The dispersion of Love channel waves in thick coal areas is compressed in frequency. With the decrease of the coal seam thickness,the dispersion of Love channel waves is stretched in frequency. The frequency of Airy phase moves to high frequency, and the group velocity of Airy phase increases significantly. The working face with coal thickness varying from 1.55 m to 8.09 m is selected for channel wave survey test. The results show that the change of coal seam thickness greatly influences the channel wave velocity in the low frequency range. With the increase of the channel wave frequency, the difference of channel wave velocity in different coal thicknesses decreases.Broadband filtering channel waves is carried out using four different frequency bands with a bandwidth of 50 Hz. Love channel waves in the frequency band from 120 Hz to 170 Hz can not only reflect the large response range of group velocity, but also take into account the energy of channel waves received in different locations.The dominant frequency band for Love channel waves are selected for group velocity tomography.The third order polynomial is used to fit the correlation between the exposed coal thickness and the group velocity, so as to inverse the coal thickness distribution of the working face. However, the group velocity in this frequency band changes slightly when the thickness of coal seam is 4-6 m. The wider the filtering frequency band is, the weaker the resolution of coal seam thickness is. Therefore, it is necessary to carry out research on the most effective frequency band and the best bandwidth to improve the interpretation accuracy.

     

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