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Body waves as normal and leaking modes. Part I: Introduction

DEPARTMENT OF GEOLOGY RICE UNIVERSITY, HOUSTON, TEXAS

Abstract

Realistic artificial seismograms may be computed by considering body waves as sums of normal or leaking modes of surface waves: the S wave and those arriving after S may be considered as sums of higher normal modes of Rayleigh waves (R_i^N) and Love waves (L_i^N); in this case the apparent velocity c < ß_n. Earlier arrivals are generally due to the first kind of leaking modes of Rayleigh waves (R_i^L1) for which ß_n < c < _n. Deep reflections in seismic prospecting are R_i^L2 for which c > _n. Synthetic seismograms can be computed by double Fourier transformation in those two last cases. Alternately the method of residues followed by a single Fourier (or Laplace) transformation may be used in all cases. Earth-stretching approximations should give excellent results for SH waves and may give satisfactory results for P and SV waves.

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