Isotropic angle-domain elastic reverse-time migration

Imaging with vector displacements

For imaging with vector wavefields, the extended imaging condition from equation  can be applied directly to the various components of the reconstructed source and receiver wavefields, similar to the conventional imaging procedure described in the preceding section. Therefore, an extended image constructed from vector displacement wavefields is

$${I}_{ij} \left ({\mathbf x}, {\boldsymbol{\lambda}} , \tau ... ...ft ({\mathbf x}+ {\boldsymbol{\lambda}} ,t+\tau \right)dt \;,$$ (9)

where the quantities $u_{si}$ and $u_{rj}$ stand for the Cartesian components ${x,y,z}$ of the vector source and receiver wavefields, and ${\boldsymbol{\lambda}}$ and $\tau$ stand for cross-correlation lags in space and time, respectively. This imaging condition suffers from the same drawbacks described for the similar conventional imaging condition applied to the Cartesian components of the reconstructed wavefields, i.e. crosstalk between the unseparated wave modes.