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- W2109936296 abstract "Synthetic seismograms for a laterally variable multilayered elastic medium are computed by using multifold Kirchhoff-Helmholtz path integrals. Multifold path integrals (MFPI) are a generalization of elastic Kirchhoff-Helmholtz (KH) integrals and were devised to circumvent the failure of the latter at caustics of source/receiver ray-fields on the surface(s) of integration. MFPI uses geometrical optics, plane wave generalized reflection and transmission coefficients, and an elastodynamic form of the KH integral. Such integrals can be evaluated numerically either in the frequency domain, by using a multidimensional generalized Filon quadrature formula, or directly in the time domain. We discuss two time domain techniques and show some examples of 2-D synthetics obtained by our algorithm. We also compare some of our results with those obtained by the finite difference technique. Unlike many other asymptotic methods, the MFPI method computes the signals diffracted from corners on any of the surfaces of material discontinuity. Careful examination of the source/receiver ray-field often enables one to reduce the fold of an MFPI by replacing the integrals over surfaces that do not have corners with their stationary phase point values." @default.
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- W2109936296 date "1987-03-01" @default.
- W2109936296 modified "2023-10-09" @default.
- W2109936296 title "Synthetic seismograms using multifold path integrals - II. Computations" @default.
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- W2109936296 doi "https://doi.org/10.1111/j.1365-246x.1987.tb01650.x" @default.
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