Sharp boundary inversion in crosswell travel-time tomography

M. S. Zhdanov*, G. Vignoli, T. Ueda


研究成果: Article査読

33 被引用数 (Scopus)


The reconstruction of seismic images of the medium from crosswell travel-time data is a typical example of the ill-posed inverse problem. In order to obtain a stable solution and to replace an ill-posed problem by a well-posed one, a stabilizing functional (stabilizer) has to be introduced. The role of this functional is to select the desired stable solution from a class of solutions with specific physical and/or geometrical properties. One of these properties is the existence of sharp boundaries separating rocks with different petrophysical parameters, e.g., oil- and water-saturated reservoirs. In this paper, we develop a new tomographic method based on application of a minimum support stabilizer to the crosswell travel-time inverse problem. This stabilizer makes it possible to produce clear and focused images of geological targets with sharp boundaries. We demonstrate that the minimum support stabilizer allows a correct recovery of not only the shape but also the velocity value of the target. We also point out that this stabilizer provides good results even with a low ray density, when the traditional minimum norm stabilizer fails.

ジャーナルJournal of Geophysics and Engineering
出版ステータスPublished - 2006

ASJC Scopus subject areas

  • 地球物理学
  • 地質学
  • 産業および生産工学
  • 管理、モニタリング、政策と法律


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