PROPAGATION OF ELASTIC WAVES IN LAYERED MEDIA.
ELECTRICAL ENGINEERING RESEARCH LAB UNIV OF TEXAS AUSTIN
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The fundamental stress-strain relationships are established and the necessary simplifying assumptions are introduced such as homogeneity, isotropy, etc. The equation of motion is derived and the elastic wave equations derived in terms of a displacement potential. The boundary conditions are established and example models are used to illustrate the distribution of energy associated with each type of wave. The ray path equations for horizontal and dipping layers are derived. It is shown how the nth layer parameters of wave velocity, layer depth, and dip of interface may be estimated if these parameters are known for the 1st, 2nd, . . . , n-1st layers and the arrival times of a seismic wave reflected from the nth interface. The method is applied to actual seismic data obtained from Texas Instruments. Author