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本文从地震勘探的实际条件出发,推导了连续介质中菲涅尔带半径公式,并按实际情况进行了必要的简化.文中分析了简化公与未简化公式的差别,进而将简化公式推广为一般非均匀介质中的菲涅尔带半径公式.在公式的推导过程中,波长λ的意义与N.S.Neidell和Sheriff所述的波长有所不同.前者为地表附近的波长,后二者为平均波长.按新公式算得的菲涅尔带半径比原公式所得结果小得多.根据实际资料都不见垂直入射这一事实,推导了非零入射角条件下非涅尔带半径公式.当取公式中的入射角为零时,公式退化为垂直入射的形式.这说明后者为前者的特例.随着入射角的增大,菲涅尔带也会增大.文章最后分析了未偏移的水平叠加剖面的横向分辨力问题.
In this paper, based on the actual conditions of seismic exploration, the formula of Fresnel zone radius in continuous media is deduced, and the necessary simplification is made according to the actual situation.In this paper, the differences between simplified and un-simplified formulas are analyzed, and then the simplified formulas are generalized The Fresnel zone radius formula in inhomogeneous media In the derivation of the formula, the meaning of wavelength λ differs from that of NSNeidell and Sheriff, the former being the wavelength near the earth’s surface and the latter being the mean wavelength. According to the new formula, the Fresnel zone radius is much smaller than that of the original formula.According to the fact that the vertical incidence is not observed in the actual data, the formula of the non-nil zone radius under non-zero incident angle is derived. When the incident angle is zero, the formula degenerates into the form of vertical incidence, which shows that the latter is the special case of the former .As the incident angle increases, the Fresnel zone increases. In the end, the un-offset horizontal superposition Cross-section resolution problem.