MIT engineers devised a way to deliver drugs such as contraceptives by injecting them as suspended crystals. Once under the skin, the crystals assemble into a drug depot that can last for months or years, eliminating the need for frequent injections.

Full Waveform Inversion (FWI) is capable of finely characterizing the velocity structure, anisotropy, viscoelasticity, and attenuation properties of subsurface media, which provides critical constraints for scientific problems such as understanding the Earth’s internal structure and material composition, earthquake preparation and occurrence, and plate motion and dynamic processes. In recent years, with advancements in high-performance computing platforms, improvements in numerical methods, and the cross-integration of multidisciplinary, FWI has demonstrated broad application prospects in deep underground structure exploration, resource and energy exploration, engineering geophysics, and even medical imaging. In this paper, we provide a comprehensive review and analysis of the development of the FWI method, addressing its current challenges, identifying key issues, future directions, and potential research areas in the theory, methodology, and application of high-resolution FWI imaging. The related findings were published in SCIENCE CHNIA: Earth Science, 68(2): 315‒342, 2025.

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