Parabolic Equation Techniques for Seismology, Seismo-Acoustics, and Arctic Acoustics

DOI10.1142/s2591728521300038OpenAlexW3168269515MaRDI QIDQ6201468

Michael D. Collins, William L. Siegmann

Publication date: 25 March 2024

Published in: Journal of Theoretical and Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s2591728521300038

zbMATH Keywords

interfaceenergy conservationboundary layerparabolic equation methodseismic waverange dependencesingle scatteringScholte wave

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Computational methods for problems pertaining to geophysics (86-08) Geophysical solid mechanics (74L05)

Cites Work

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• A parabolic approximation for elastic waves
• A complex coefficient rational approximation of \(\sqrt{1+x}\)
• A comparison of parabolic wave theories for linearly elastic solids
• Seismo-Acoustic Benchmark Problems Involving Sloping Solid–Solid Interfaces and Variable Topography
• Seismo-Acoustic Benchmark Problems Involving Sloping Fluid–Solid Interfaces
• A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces
• Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media
• Stress waves in anelastic solids
• A Parabolic Theory of Stress Wave Propagation Through Inhomogeneous Linearly Elastic Solids
• Calculation of the effect of internal waves on oceanic sound transmission
• Parabolic approximations to the time-independent elastic wave equation
• Parabolic Wave Equations with Applications

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