GMIG has obtained foundational results in the analysis of inverse problems in geophysics, leading to breakthroughs in scientific understanding of the subsurface, fault dynamics and reservoirs. Research in these areas has made a significant impact on carbon capture and sequestration, putting researchers in a prime position to work with energy-sector partners on the future of sustainability.

Analyzing and understanding nonlinear geo-inverse problems remains essential to GMIG’s research. Although fundamental results are often obtained under idealized conditions, they can nonetheless be critical in guiding the development of reconstruction procedures with provable properties and guarantees. GMIG's research program considers realistic earth material descriptions at a wide range of scales by incorporating anisotropic and nonlinearelasticity, scattering, microheterogeneity, poroelasticity, viscoelasticity and nonlocal elasticity. On faults, friction laws and contact mechanics are incorporated through new models.

Hierarchical seismic data complexity, feature extraction, spectral data, surface-wave dispersion data, geometric data (including distance functions and microseismicity), low-frequency waveforms, coda-wave data, geodesy data, GPS-based measurements of semi-diurnal body-tide deformation, gravity, and magneto-telluric data are considered.

The program considers geometric inverse problems, spectral rigidity, inverse problems for surface waves, spectral data, resonances, and inverse boundary-value problems for time-harmonic waves, friction and rupture dynamics.