Contaminant Source Identification from Finite Sensor Data: Perron–Frobenius Operator and Bayesian Inference

Himanshu Sharma, Umesh Vaidya and Baskar Ganapathysubramanian
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Himanshu Sharma: Pacific Northwest National Laboratory, Electricity Infrastructure & Buildings Division, Richland, WA 99354, USA
Umesh Vaidya: Department of Mechanical Engineering, Clemson University, Clemson, SC 29634, USA
Baskar Ganapathysubramanian: Department of Mechanical Engineering, Iowa State University, Ames, IA 50010, USA

Energies, 2021, vol. 14, issue 20, 1-17

Abstract: Sensors in the built environment ensure safety and comfort by tracking contaminants in the occupied space. In the event of contaminant release, it is important to use the limited sensor data to rapidly and accurately identify the release location of the contaminant. Identification of the release location will enable subsequent remediation as well as evacuation decision-making. In previous work, we used an operator theoretic approach—based on the Perron–Frobenius (PF) operator—to estimate the contaminant concentration distribution in the domain given a finite amount of streaming sensor data. In the current work, the approach is extended to identify the most probable contaminant release location. The release location identification is framed as a Bayesian inference problem. The Bayesian inference approach requires considering multiple release location scenarios, which is done efficiently using the discrete PF operator. The discrete PF operator provides a fast, effective and accurate model for contaminant transport modeling. The utility of our PF-based Bayesian inference methodology is illustrated using single-point release scenarios in both two and three-dimensional cases. The method provides a fast, accurate, and efficient framework for real-time identification of contaminant source location.

Keywords: Perron–Frobenius operator; contaminant source identification; IAQ; hazardous release; sequential Bayesian inference (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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