Implementation of the 3D non-periodic homogenization method in the Finite Element Analysis software RINGMecha

Etienne Lavoine and Paul Cupillard and Antoine Mazuyer. ( 2016 )
in: 2016 RING Meeting, ASGA

Abstract

Because of the development of sophisticated numerical techniques as well as increasing com- putational resources, the simulation of full seismic waveforms is now able reach higher frequencies with an impressive accuracy. Nevertheless, the correct account for propagation effects due to small scale structures lying in geological media (including discontinuities with complex geometry such as faulted and folded horizons, intrusive geological contacts and fault systems) is still challenging. Therefore, considering equivalent smooth media with effective elastic properties can be extremely valuable in this context. First, replacing the initial complex and heterogeneous model by a new upscaled medium significantly eases the simulation. Secondly, a smooth medium can tell ”what the waves see”, so it can help to the interpretation of tomographic models. In the recent years, many techniques have been developed trying to simplify geological models for the seismic wave propaga- tion. In this paper, we focus on the so-called non-periodic homogenization method. After recalling the theory behind the method, we detail its C++ implementation within the 3D Finite Element Analysis software RINGMecha developed at GeoRessources. Preliminary results computed on a simple finely-layered model are presented.

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BibTeX Reference

@INPROCEEDINGS{,
    author = { Lavoine, Etienne and Cupillard, Paul and Mazuyer, Antoine },
     title = { Implementation of the 3D non-periodic homogenization method in the Finite Element Analysis software RINGMecha },
 booktitle = { 2016 RING Meeting },
      year = { 2016 },
 publisher = { ASGA },
  abstract = { Because of the development of sophisticated numerical techniques as well as increasing com-
putational resources, the simulation of full seismic waveforms is now able reach higher frequencies
with an impressive accuracy. Nevertheless, the correct account for propagation effects due to small
scale structures lying in geological media (including discontinuities with complex geometry such
as faulted and folded horizons, intrusive geological contacts and fault systems) is still challenging.
Therefore, considering equivalent smooth media with effective elastic properties can be extremely
valuable in this context. First, replacing the initial complex and heterogeneous model by a new
upscaled medium significantly eases the simulation. Secondly, a smooth medium can tell ”what the
waves see”, so it can help to the interpretation of tomographic models. In the recent years, many
techniques have been developed trying to simplify geological models for the seismic wave propaga-
tion. In this paper, we focus on the so-called non-periodic homogenization method. After recalling
the theory behind the method, we detail its C++ implementation within the 3D Finite Element
Analysis software RINGMecha developed at GeoRessources. Preliminary results computed on a
simple finely-layered model are presented. }
}