A detailed analysis of body waves simulated in homogenized media

Paul Cupillard and Wim Mulder and Pierre Anquez and Antoine Mazuyer and Mustapha Zakari and Jean-François Barthélémy. ( 2024 )
in: SSA Annual Meeting, Seismological Society of America

Abstract

Non-periodic homogenization has proved to be an accurate asymptotic method for computing long-wavelength equivalent media for the seismic wave equation, turning small-scale heterogeneities and geometric complexity into smooth elastic properties. Using homogenized media allows i) decreasing the computation cost of wave propagation simulation and ii) studying the apparent, small-scale-induced anisotropy. After illustrating these two aspects briefly, I propose to analyze in great detail the accuracy of body waves simulated in homogenized 3D models of the subsurface. First, the behaviour of head-, reflected and refracted waves with respect to source-receiver offset, maximum frequency and velocity contrast across a planar interface, is investigated. Then, I consider the SEG-EAGE overthrust model to exemplify how the accuracy of simulated body waves anti-correlates with the distance to seismic source and the amount of apparent anisotropy. In high apparent anisotropy regions, we show that the first-order correction provided by the homogenization theory significantly improves the computed wavefield. The overall results of this analysis better frame the use of homogenized media in seismic wave simulation.

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BibTeX Reference

@inproceedings{cupillard:hal-04684860,
 abstract = {Non-periodic homogenization has proved to be an accurate asymptotic method for computing long-wavelength equivalent media for the seismic wave equation, turning small-scale heterogeneities and geometric complexity into smooth elastic properties. Using homogenized media allows i) decreasing the computation cost of wave propagation simulation and ii) studying the apparent, small-scale-induced anisotropy. After illustrating these two aspects briefly, I propose to analyze in great detail the accuracy of body waves simulated in homogenized 3D models of the subsurface. First, the behaviour of head-, reflected and refracted waves with respect to source-receiver offset, maximum frequency and velocity contrast across a planar interface, is investigated. Then, I consider the SEG-EAGE overthrust model to exemplify how the accuracy of simulated body waves anti-correlates with the distance to seismic source and the amount of apparent anisotropy. In high apparent anisotropy regions, we show that the first-order correction provided by the homogenization theory significantly improves the computed wavefield. The overall results of this analysis better frame the use of homogenized media in seismic wave simulation.},
 address = {Anchorage (AK), United States},
 author = {Cupillard, Paul and Mulder, Wim A. and Anquez, Pierre and Mazuyer, Antoine and Zakari, Mustapha and Barth{\'e}l{\'e}my, Jean-Fran{\c c}ois},
 booktitle = {{SSA Annual Meeting}},
 hal_id = {hal-04684860},
 hal_version = {v1},
 month = {April},
 organization = {{Seismological Society of America}},
 title = {{A detailed analysis of body waves simulated in homogenized media}},
 url = {https://hal.science/hal-04684860},
 year = {2024}
}