Simultaneous shot inversion for nonuniform geometries using fast data interpolation
This work addresses a practical limitation in seismic inversion for geophysics, but it is incremental as it builds on existing simultaneous shot and interpolation methods.
The paper tackled the challenge of applying simultaneous shot inversion to nonuniform acquisition geometries by developing a joint inverse problem that interpolates data to an ideal geometry while solving the inverse problem, demonstrating flexibility and efficiency in synthetic experiments.
Stochastic optimization is key to efficient inversion in PDE-constrained optimization. Using 'simultaneous shots', or random superposition of source terms, works very well in simple acquisition geometries where all sources see all receivers, but this rarely occurs in practice. We develop an approach that interpolates data to an ideal acquisition geometry while solving the inverse problem using simultaneous shots. The approach is formulated as a joint inverse problem, combining ideas from low-rank interpolation with full-waveform inversion. Results using synthetic experiments illustrate the flexibility and efficiency of the approach.