A raypath reflection model for layered media with source and receiver in different layers

The fundamental tool for simulation and interpretive work on acoustical test data towards extraction of spatial and physical parameters of multilayered media, such as marine sediments or geological strata, is the ideal layered media reflection model. We present here a formulation for the ideal reflection process, when the source and receiver are in different layers. Layer transition times are not restricted to being equal. The wavelet index notation used aids in giving very tractable and compact results. The model gives the response as a sum of all replica pulse wavelets due to a source pulse signal, or equivalently as the sum of impulse wavelets in the reflection sequence model. The new features of this model format are (1) complete details of reflected wavelets to arbitrary reflection multiplicity, (2) systematic count and aggregation of all multipath wavelets with identical arrival times, (3) compact expressions for wavelet amplitudes and delay times. The model is pertinent, for example, for simulation and analysis of seismic responses to source pulses triggered in exploration boreholes.