Abstract

Partitioning of seismic energy at a geologic interface gives rise to changes in reflection amplitude, which varies with the angle of incidence. As the angle of incidence and offsets are related, the variation of amplitude with offset (seismic shotgeophone separation) of a reflected seismic signal would also be there. The first formulation of the problem of reflection and transmission coefficients for plane waves as a function of angle of incidence may be found in Zoeppritz (1919). The important inverse problem is to infer about the geologic boundary (elastic parameters on either side of the boundary) from an observation of reflection amplitudes as a function of the angle of incidence (or offset). The explicit Zoeppritz amplitude expression for calculating reflected P-wave amplitude may be solved, and may be programmed (refer, for example, to Young and Braile 1976). In a classic article, Muskat and Meres (1940) published results on the variation of reflection and transmission coefficients as a function of angles of incidence.

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