Fig. 2: The workflow for calculating hybrid synthetic seismograms from a distant source to a receiver.

a The workflow involves three main steps, as illustrated by the numbered circles. In the initial step, a global simulation is conducted from the remote source to the box, and effective secondary sources are computed and stored at the mirror points E1/A1. In the second step, the secondary sources are imposed at mirror points E1/A1 for a local simulation, considering scenarios without a scatterer, and with a scatterer Δm (b) inside the inversion domain surrounded by gray lines. The resulting hybrid output mirror forces are calculated and recorded at the mirror points E2/A2. In the third step, two or three global simulations (one per component) are conducted from the remote receiver to the box, generating Green’s functions that are subsequently stored at the mirror points E2/A2. The convolution between the stored hybrid output mirror forces and the Green functions produces the residual synthetic seismograms, capturing the influence of the local scatterer. Elements with black texture are used to absorb the outgoing scattered wavefields.