Open AccessMultiple Reflection of Plane P and SV Waves By a Dipping Layer
Author(s) -
Ishii Hiroshi,
Ellis Robert M.
Publication year - 1970
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1970.tb06745.x
Subject(s) - reflection (computer programming) , classification of discontinuities , refraction , perpendicular , amplitude , optics , mechanical wave , love wave , diffraction , displacement (psychology) , physics , wave propagation , plane (geometry) , longitudinal wave , rayleigh wave , surface wave , geometry , mathematical analysis , mathematics , psychology , computer science , psychotherapist , programming language
Summary The problem of plane P and SV waves incident at the base of a dipping layer and perpendicular to the strike is investigated by a technique which expresses the reflection and refraction coefficients in terms of the propagation direction of the incident wave in a cylindrical co‐ordinate system. It is shown that all multiply reflected waves can be calculated by this scheme. For both incident P and SV waves, numerical values of the displacements and displacement ratios are calculated on the surface. It is found that the displacement ratios for incident SV waves are much more sensitive to dip than are those for incident P waves. For P and SV waves propagating in the down‐dip direction, the amplitude ratio versus frequency curves for constant depth to the interface do not have significant peaks for dip angles greater than 15°. Displacement discontinuities resulting from the geometric nature of the wave solution are also calculated as they indicate whether the diffracted wave plays an important role. Energy relations between waves at an elastic interface are derived in terms of the propagation direction in a cylindrical system.