Petrashen’, G. I.; Kashtan, B. M.; Kiselev, Yu. V. Quantitative study of nonstationary interference wave fields in layered-homogeneous elastic media with plane-parallel interfaces. I: Statements of problems and rational methods of their solution. (Russian. English summary) Zbl 0872.73005 Zap. Nauchn. Semin. POMI 214, 7-186 (1994). The authors present an extensive survey concerning the seismic wave propagation and the interference wave fields in layered elastic media. Some formulations for nonsteady interference wave fields in layered-homogeneous isotropic elastic media with plane-parallel interfaces are discussed together with the corresponding solutions. The contour integral method and numerical methods to obtain the roots of the dispersion equation are used. As a result, the stationary contours and the spectral fields of phase functions are determined. Reviewer: P.P.Teodorescu (Bucureşti) Cited in 1 ReviewCited in 1 Document MSC: 74J10 Bulk waves in solid mechanics 86A15 Seismology (including tsunami modeling), earthquakes Keywords:roots of dispersion equation; seismic wave propagation; contour integral method; numerical methods; stationary contours; spectral fields; phase functions PDFBibTeX XMLCite \textit{G. I. Petrashen'} et al., Zap. Nauchn. Semin. POMI 214, 7--186 (1994; Zbl 0872.73005) Full Text: EuDML