Frame-based Gaussian Beam Summation and Seismic Head Waves
نویسنده
چکیده
Abstract. In this paper, a two-parameter discrete Gaussian beam summation is described and then applied to SH seismic waves in a layer over a half space. For this case the exact solution for the wide-angle reflection and head wave is known by the summation of plane waves or from the modified-Cagniard method. Using Gaussian beam summations over a single angle parameter, the wide-angle reflection and head wave can be generated by using wide beam widths. By using single-parameter beam summations with less wide beams, stable solutions of the wideangle reflection can be obtained, but not the head wave solution which requires more spectral content. Here we show that both the wide-angle reflection and the head wave can be obtained when using finite beam widths by an over-determined, frame-based Gaussian beam summation over both position and wavenumber.
منابع مشابه
Application of Frame-based Gaussian Beam Summation to Seismic Head Waves
In this paper, a two-parameter discrete Gaussian beam summation is described and then applied to SH seismic waves in a layer over a half space. For this case the exact solution for the wide-angle reflection and head wave is known by the summation of plane waves or from the modified-Cagniard method. Using Gaussian beam summations over a single angle parameter, the wide-angle reflection and head ...
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