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瞬变电磁场的波场变换拟地震解释是目前电磁勘探领域中一项很有前景的解释方法,而实现瞬变电磁场的波场变换又是其中的关键。本文基于物理场所满足的基本方程,推导出了适于多种场源激发方式及观测分量的波场变换公式及其数值离散形式。由于波场变换问题为不适定问题,故我们采用奇异值分解算法实现了瞬变电磁场的波场变换,并针对影响波场变换的诸因素(阻尼系数α的选取,时窗宽度、误差)进行了系统研究和计算,证明了我们研究的算法稳定、快速、精度高。
Wavefield Transform of Transient Electromagnetic Field Quasi-seismic interpretation is a promising method in the field of electromagnetic prospecting, and the key to realize the wavefield transformation of transient electromagnetic field is one of them. In this paper, based on the basic equations satisfied by the physical environment, the wave field transformation formulas and their numerical discretizations suitable for excitation and observation components of various field sources are deduced. Because the problem of wave field transformation is ill-posed, we use the singular value decomposition algorithm to realize the wave field transformation of the transient electromagnetic field. In addition, the factors affecting the wave field transformation (selection of damping coefficient α, time window width, error) The system research and calculation proves that the algorithm we studied is stable, fast and accurate.