Shape reconstruction of scatterers in poroelastic media using linearized inverse scattering analysis

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  • 線形逆散乱解析による多孔質弾性体中の不均質部の形状再構成
  • センケイ ギャクサンラン カイセキ ニ ヨル タコウシツ ダンセイタイ チュウ ノ フキンシツブ ノ ケイジョウ サイコウセイ

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Abstract

The Linearized Inverse Scattering Analysis using Born approximation is applied to the Biot's Poroelastic model for the visualization of scatterers in porous media. Spatial and frequency distribution of the scattering amplitude is used for the shape reconstruction of a scatterer in which solid frame and/or pore fluid properties are different from surrounding media. The inversion method is based on the field integral expression of the scattered field, its linearization by Born approximation, and a direct inversion method by using the Inverse Fourier Transform. In this paper, theoretical background and numerical formulations of the method are described, and some examples of the reconstructed form of scatterers using simulated scattered field are shown. The examples show the applicability of the inversion method to the fluid filled porous material. The limited aperture problem is also discussed using the numerical results. It is shown that the reconstruction of scatterer geometry is still available with some degree of the lack of information.

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