CRS4

Homeomorphic transformation of 3D acoustic media for time imaging without a velocity model

Ernesto Bonomi
Technical Report , CRS4 - december 2009
I present the derivation of the formula approximating the time of flight of diff racted acoustic signals propagating in a 3D non-homogeneous medium with a flat acquisition surface. The problem is fi rst solved in an auxiliary homogeneous medium. The resulting time of flight is then synchronized, via a homeomorphic transformation, to that of the real medium under investigation. No velocity model is required.

BibTex references

@TechReport{Bon09,
  author       = {Bonomi, E.},
  title        = {Homeomorphic transformation of 3D acoustic media for time imaging without a velocity model},
  institution  = {CRS4},
  month        = {december},
  year         = {2009},
  address      = {Piscina Manna, Ed.1},
  type         = {Research Note},
  keywords     = {Velocity-independent time imaging, non-hyperbolic diffraction imaging, quasi-similar media, homeomorphic transform},
  url          = {http://publications.crs4.it/pubdocs/2009/Bon09},
}

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