A general computer code, developed to calculate anelastic reflection-refraction coefficients, energy flow, and the physical characteristics for general P, S-I, and S-II waves, quantit•tively describes physical characteristics for wave fields in anelastic media that do not exist in elastic media. Consideration of wave fields incident on boundaries between anelastic media shows that scattered wave fields experience reductions in phase and energy speeds, increases in maximum attenuation and Q-•, and directions of maximum energy flow distinct from phase propagation. Each of these changes in physical characteristics are shown to vary with angle of incidence. Finite relaxation times for anelastic media result in energy flow due to interaction of superimposed radiation fields and contribute to energy flow across anelastic boundaries for all angles of incidence. Agreement of theoretical and numerical results with laboratory measurements argues for the validity of the theoretical 'and numerical formulations incorporating inhomogeneous wave fields. The agreement attests to the applicability of the model and helps confirm the existence of inhomogeneous body waves and their associated set of distinct physical characteristics in the earth. The existence of such body waves in layered, low-loss anelastic solids implies the need to reformulate some seismological models of the earth. The exact anelastic formulation for a liquid-solid interface with no low-loss approximations predicts the existence of a range of angles of incidence or an anelastic Rayleigh window, through which significant amounts of energy are transmitted across the boundary. The window accounts for the discrepancy apparent between measured reflection data presented in early textbooks and predictions based on classical elasticity theory. Characteristics of the anelastic Rayleigh window are expected to be evident in certain sets of wide-angle, ocean-bottom reflection data and to be useful in estimating Q-•for some ocean bottom reflectors.
INTRODUCTIONRecent developments in the theoretical framework for twoand three-dimensional wave propagation in layered anelastic solids predict that seismic body waves are inhomogeneous with amplitudes varying across surfaces of constant phase. As a consequence, physical characteristics such as phase and energy velocity, attenuation, particle motion, and Q-x are predicted to be travel-path-dependent [Borcherdt, 1977[Borcherdt, , 1982. Such dependencies are not predicted theoretically for elastic body waves and are not taken into account by most theoretical formulations for interpretation of seismic body waves. As these recent developments imply the need to expand the theoretical basis for seismic wave propagation in anelastic media, two questions of some relevance for seismology are (1) "How significant are these variations for wave propagation problems in low-loss anelastic solids?" and (2) "What observational evidence confirms the existence of inhomogeneous body waves and their associated dependencies on travel path ?" Borcherdt...