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本文研究了第一菲涅尔带约束下的波动方程Born/Rytov近似层析反演方法,其中如何求取敏感核函数和旅行时残差是关键技术。以频率域波动方程Born和Rytov近似为基础,推导出建立在带限地震波理论基础上的波动方程Born/Rytov近似走时敏感核函数,同时依据Rytov近似求取走时残差。与常规单射线走时层析方法不同,改进的速度反演方法提高了反演的稳定性。模型试算与实际资料处理结果表明,相对于传统的单射线走时层析和波形反演方法,该方法具有更高的反演精度与计算效率。
In this paper, the Born / Rytov approximate tomographic inversion method for the wave equation under the first Fresnel zone constraint is studied, and how to obtain the sensitive kernel function and travel time residual is the key technology. Based on the Born and Rytov approximations of frequency-domain wave equations, the Born / Rytov approximation-time-sensitive kernel function based on the band-limited seismic wave theory is derived, and the traveltime residuals are obtained by Rytov approximation. Different from the conventional single-ray time-of-flight tomography method, the improved velocity inversion method improves the stability of inversion. The results of model trial and actual data processing show that the proposed method has higher accuracy and computational efficiency compared with traditional single-ray time-of-flight tomography and waveform inversion methods.