Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators

Details Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005geoji.163..106d&link_type=abstract

Geophysical Journal International, Volume 163, Issue 1, pp. 106-125.

Statistics

Applications

Scientific paper

Constructing an image of the Earth subsurface from acoustic wave reflections has previously been described as a recursive downward redatuming of sources and receivers. Most of the methods that have been presented involve reflectivity and propagators associated with one-way wavefield components. In this paper, we consider the reflectivity relation between two-way wavefield components, each a solution of a Helmholtz equation. To construct forward and inverse propagators, and a reflection operator, the invariant-embedding technique is followed, using Dirichlet-to-Neumann maps. Employing bilinear and sesquilinear forms, the forward- and inverse-scattering problems, respectively, are treated analogously. Through these mathematical constructs, the relationship between a causality radiation condition and symmetry, with respect to a bilinear form, is associated with the requirement of an anticausality radiation condition with respect to a sesquilinear form. Using reciprocity, sources and receivers are redatumed recursively to the reflector, employing left- and right-operating adjoint propagators. The exposition of the proposed method is formal, that is numerical applications are not derived. The key to applications lies in the explicit representation, characterization and approximation of the relevant operators (symbols) and fundamental solutions (path integrals). Existing constructive work which could be applied to the proposed method are referred to in the text.

Affiliated with

Also associated with

No associations

Rating

Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovering acoustic reflectivity using Dirichlet-to-Neumann maps and left- and right-operating adjoint propagators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1625450