Abstract
Some aspects of vector parabolic equations are examined as a means of propagating waves in linear elastic solids. A revised derivation of a previously published model, based on a Born approximation for scattering from an inhomogeneous layer, enables parabolic equation (PE) computations in elastic media with different longitudinal and shear speeds. This method of derivation is shown to reduce to the normal PE for the scalar case. The elastic PE model has been implemented using finite-difference techniques. Computed results for a channeled environment are consistent with physical considerations. Analysis reveals that hard and soft boundaries do not lend themselves to a straightforward implementations in a potential formulation.
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© 1986 Plenum Press, New York
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Wales, S.C. (1986). A Vector Parabolic Equation Model for Elastic Propagation. In: Akal, T., Berkson, J.M. (eds) Ocean Seismo-Acoustics. NATO Conference Series, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2201-6_7
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DOI: https://doi.org/10.1007/978-1-4613-2201-6_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9293-7
Online ISBN: 978-1-4613-2201-6
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