Mathematical Model for Identifying and Locating External Solid Contaminants in Tanks

Advancements in sensors, electronics, and computing have enhanced monitoring systems for environmental protection, safety, and resource management. Internet of Things, Artificial Intelligence-driven models, and mathematical frameworks enable real-Time assessments, but detection accuracy remains a challenge. Partial Differential Equations models improve predictive capabilities in cyberphysical monitoring systems. Internet of Things applications extend to agriculture, smart cities, and environmental management, with smart sensors collecting critical real-Time data. In water quality monitoring, Internet of Things sensors detect contaminants, though challenges like data reliability and security persist. This paper presents a Partial Differential Equations based model for detecting foreign contaminants objects in liquid storage tanks, enhancing accuracy, reducing false alarms, and improving real-Time monitoring.