KirchMig.jl

Kirchhoff migration is a method used in geophysics, nondestructive testing and other areas to obtain high-frequency representations of the impedance contrasts of a target medium. In geophysics, it is also known as the diffraction stack, and in nondestructive testing as total focusing method (TFM).

What this package is not: This package is not focused in providing extensive traveltime computation methods, such as eikonal solvers, ray-tracers, etc. Many of these can be already found in software suits like Madagascar. I recommend the excellent sfeikonal solver. In the future, I might incorporate sfeikonal and other Madagascar tools within the library. This package is also not, a priori, designed to be an advanced, true-amplitude migration tool with many bells and whistles, although it might mutate into that in the future. Of course I am more than happy to incorporate more advanced Kirchhoff migration (and demigration).

What this package is: At the moment I am interested in providing a simple-to-use and simple-to-grasp Kirchhoff inversion toolset. I am interested in writing this with a linear mapping framework taking special care of providing forward and adjoint maps which respect the dot product test. In this way, the linear maps provided can be used in inversion methods, for example in so-called least-squares migration.

Get started

Once Julia 1.0 is installed, open the REPL and run

using Pkg
Pkg.add(PackageSpec(url="https://github.com/cako/KirchMig.jl.git"))

A few examples are provided as scripts and Jupyter notebooks here.