2019/11/26 by Armand Wirgin, Wirgin, Armand · 1 citation
Earth and Planetary Sciences · Environmental Science · #FOS: Physical sciences #Geological formations and processes #Geophysics (physics.geo-ph) #Methane Hydrates and Related Phenomena #Oceanographic and Atmospheric Processes
paper · pdf · doi:10.48550/arxiv.1911.11425
openalex publication_date 2019/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish the abstract and semi-abstract equations that translate the conservation law for a totally-filled, or totally-empty basin of arbitrary shape submitted to a SH plane seismic body wave. This law states that the input flux is equal to the sum of the scattered and absorbed fluxes, the latter being equal to zero when the filler medium is non-lossy. We show that the well-known, exact, solutions for the case of a semi-circular basin indeed satisfy this law. The latter can, and should, be employed to test the validity of any theoretical or numerical solution one might propose for a basin of arbitrary shape.