Homogenization of 3d geological models for seismic wave propagation

Paul Cupillard and Arnaud Botella and Yann Capdeville. ( 2015 )
in: SEG Technical Program Expanded Abstracts, pages pp. 3656-3660

Abstract

Despite the important increase of the computational power in the last decades, simulating the seismic wave propagation through realistic geological models is still a challenge. By realistic models we here mean 3D media in which a broad variety of heterogeneities lies, including discontinuities with complex geometry such as faulted and folded horizons, intrusive geological contacts and fault systems. To perform accurate numerical simulations, these discontinuities require complicated meshes which usually contain extremely small elements, yielding large, sometimes prohibitive, computation costs. Fortunately, the recent development of the non-periodic homogenization technique now enables to overcome this problem by computing smooth equivalent models for which a coarse mesh is sufficient to get an accurate wavefield. In this work, we present the first 3D applications of the non-periodic homogenization. We first recall the main theoretical results of the method and then we test it against different 3D media to show its high accuracy and to emphasize promising applications in forward modeling and inverse problem.

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BibTeX Reference

@INPROCEEDINGS{,
    author = { Cupillard, Paul and Botella, Arnaud and Capdeville, Yann },
     title = { Homogenization of 3d geological models for seismic wave propagation },
 booktitle = { SEG Technical Program Expanded Abstracts },
      year = { 2015 },
     pages = { pp. 3656-3660 },
       doi = { 10.1190/segam2015-5907841.1 },
  abstract = { Despite the important increase of the computational power in the last decades, simulating the seismic wave propagation through realistic geological models is still a challenge. By realistic models we here mean 3D media in which a broad variety of heterogeneities lies, including discontinuities with complex geometry such as faulted and folded horizons, intrusive geological contacts and fault systems. To perform accurate numerical simulations, these discontinuities require complicated meshes which usually contain extremely small elements, yielding large, sometimes prohibitive, computation costs. Fortunately, the recent development of the non-periodic homogenization technique now enables to overcome this problem by computing smooth equivalent models for which a coarse mesh is sufficient to get an accurate wavefield. In this work, we present the first 3D applications of the non-periodic homogenization. We first recall the main theoretical results of the method and then we test it against different 3D media to show its high accuracy and to emphasize promising applications in forward modeling and inverse problem. }
}