P-wave seismograms from continuously varying transition zones—II. Elastic media |
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| Authors: | M A A Goda C R A Rao |
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| Institution: | School of Mathematical Sciences, Flinders University of South Australia, Bedford Park, Australia 5042 |
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| Abstract: | Summary. A class of elastic transition zones are modelled by considering a homogeneous half space overlying an inhomogeneous half space with a bounded and monotonically increasing profile for the rigidity modulus and constant Poisson's ratio and density. Reflected P waves due to a compressional point source in the upper half space are studied in the frequency and time domains by means of numerical contour integration in the complex k plane and the Fast Fourier Transform (FFT). Results from the exact fourth-order elasticity theory are compared with those from the approximate decoupled equations for P and SV waves. Agreement is observed between the two theories at high frequencies beyond the caustic range. |
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