Real-Time Forecasting of Building Fire Growth and Smoke Transport via Ensemble Kalman Filter
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Abstract
Forecasting building fire growth and smoke dispersion is a challenging task but can provide early warnings to first responders and building occupants and thus significantly benefit active building fire protection. Although existent computer simulation models may provide acceptable estimations of smoke temperature and quantity, most simulations are still not able to achieve real-time forecast of building fire due to high computational requirements, and/or simulation accuracy subject to users’ inputs. This paper investigates one of the possibilities of using ensemble Kalman filter (EnKF), a statistical method utilizing the real-time sensor data from thermocouple trees in each room, to estimate the spread of an accidental building fire and further forecast smoke dispersion in real time. A general approach to forecasting building fire and smoke is outlined and demonstrated by a 1:5 scaled compartment fire experiment using a 1.0 kW to 2.8 kW propane burner as fire source. The results indicate that the EnKF method is able to forecast smoke transport in a multi-room building fire using 40 ensemble members and provide noticeable accuracy and lead time. Unlike other methods that directly use measurement data as model inputs, the developed model is able to statistically update model parameters to maintain the forecasting accuracy in real time. The results obtained from the model can be potentially applied to assist mechanical smoke removal, emergency evacuation and firefighting.
Keywords
Data assimilation Ensemble Kalman filter Zone model Real-time forecast Sensor integration Smoke transportNomenclature
- cp
Specific heat of air in constant pressure, kJ/kgK
- Cs
Smoke layer height factor
- cv
Specific heat of air in constant volume, kJ/kgK
- H
Height, m
- Hd
Smoke layer height, m
- K
Kalman gain
- \( \dot{m} \)
Mass flow rate kg/s
- P
Pressure, kPa
- Pf
Forecasted error covariance
- q
Number of ensemble member
- \( \dot{q} \)
Energy flux, kW
- T
Temperature, °C
- t
Time, second
- V
Volume, m3
- v
Velocity, m/s
- w
Width of opening, m
- x
Model states
- y
Measurement
- γ
Ratio of cp to cv
- θ
Localization factor
- ρ
Density, kg/m3
- ϕ
Control parameters
Subscript
- amb
Ambient
- l
Lower zone
- u
Upper zone
- vent
Ventilation
- z
Height, m
Superscript
- a
Analyzed
- f
Forecasted
Abbreviations
- BAS
Building automation system
- EnKF
Ensemble Kalman filter
- CFD
Computational fluid dynamics
- PIV
Particle image velocimetry
- FDS
Fire dynamic simulator
- RMSE
Root mean squared error
- HRR
Heat release rate
Notes
Acknowledgement
The authors acknowledge the financial supports from the Discovery Grants of the Natural Sciences and Engineering Research Council of Canada (NSERC) (No. 402848-2012) (2012–2017) and the Concordia University Research Chair (CURC) New Scholar for the Building Fire Safety, Smoke, Airflow and Thermal Management program (2014–2019). The authors also thank Dr. Wael Saleh and Guanchao (Jeremy) Zhao for the technical supports of conducting the fire and PIV experiments.
References
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