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为研究小波变换在煤层自燃三维温度场反演中的应用,本论文在正演模型研究的基础上,对煤层自燃三维温度场的反问题进行了详细描述,并给出了三维反演时序模型和约束条件。结合煤层自燃三维温度场,深入讨论小波的振荡性和衰减特性,证明了瞬时热源温度场函数和过余温度场函数可以作为三维温度场反演中的小波变换函数和小波变换尺度函数,从而为小波变换在煤层自燃算法中的研究应用打下理论基础。
In order to study the application of wavelet transform in the inversion of three-dimensional temperature field of spontaneous combustion in coal seam, this paper described in detail the inverse problem of three-dimensional temperature field of spontaneous combustion in coal seam based on forward modeling, and gave the three-dimensional inverse time series model And constraints. Combined with the three-dimensional temperature field of spontaneous combustion in coal seam, the oscillation and attenuation characteristics of the wavelet are discussed in depth. It is proved that the instantaneous heat source temperature field function and excess temperature field function can be used as the wavelet transform function and the wavelet transform scaling function in the three-dimensional temperature field inversion. The application of wavelet transform in coal seam spontaneous combustion algorithm lay a theoretical foundation.