Permafrost is defined as ground, including soil and rock, that remains at or below $0^\circ\text{C}$ for two or more consecutive years. This cryospheric feature is composed of ice-rich sediment and plays a critical role in global biogeochemical cycles, acting as a massive repository of ancient organic carbon. The state of this frozen ground system is maintained by underlying permafrost, and the thawing of these deep layers can significantly alter the physical landscape through processes like subsidence and the formation of thermokarst features. When thaw occurs, previously frozen organic matter begins to decompose, releasing potent greenhouse gases, notably methane and carbon dioxide, into the atmosphere, thereby influencing climate dynamics and global carbon budgets.