1887

### Abstract

Plane-wave scattering in a two-dimensional configuration consisting of two quarter-spaces below a half-space, known as a vertical fault model, is treated. The wavefield obeys the' two-dimensional Helmholtz equation and it is shown that this formulation is equivalent to the electromagnetic case where the fundamental unknown is the horizontally polarized electric field vector and to the acoustic case where the unknown is the pressure. In the electromagnetic case, the contrasting parameter is the conductivity, and in the acoustic case is the compressibility. An integral representation for the scattered field in all space composed of two one-sided Fourier transforms is arrived at. In particular, numerical results are presented for the scattered field at the discontinuity level. Both the fields and the kernels of the integral representation at the discontinuity level may be used in the migration, inversion, or interpretation of geophysical data.

/content/papers/10.3997/2214-4609-pdb.317.sbgf105
1989-11-20
2021-10-20