Volume 2, Issue 1, ICCK Transactions on Systems Safety and Reliability
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ICCK Transactions on Systems Safety and Reliability, Volume 2, Issue 1, 2026: 11-25

Free to Read | Research Article | 03 February 2026
Distribution Field Construction and Prediction Method for Gas Leakage based on Kriging model and Gaussian Process
1 School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China
2 School of Cyber Science and Technology, Beihang University, Beijing 100191, China
* Corresponding Author: Jun Yang, [email protected]
ARK: ark:/57805/tssr.2025.861997
Received: 07 November 2025, Accepted: 08 December 2025, Published: 03 February 2026  
Abstract
Gas leakage poses a significant hazard in chemical industry operations, where failure to respond rapidly to gas diffusion can lead to poisoning, fire, or explosion. Timely and accurate prediction of gas dispersion is therefore essential for emergency decision-making and operational safety. While existing methods such as computational fluid dynamics, spatiotemporal statistics, and surrogate models emphasize prediction accuracy, they often suffer from excessive computational delays—especially critical in leak scenarios where casualties can occur within minutes. To address this gap, this paper introduces a Gaussian process-Markov random field-Kriging (GP-MRF-K) model for fast and reliable prediction of gas concentration fields. The approach integrates Markov random field (MRF) neighborhood structures into Kriging-based spatial interpolation, reducing computational complexity from O(n³) to O(n·m³), where n is the total grid points and m is the average neighbor count. Gas concentration time series are forecasted using Gaussian process regression (GPR), and the MRF-Kriging framework rapidly reconstructs the full concentration field. Validation with real ammonia concentration data from a warehouse-scale experimental setup confirms the feasibility and superiority of GP-MRF-K. With 150 training points and 10 prediction steps, the model achieves an MSE of 4660 and RMSE of 68.26, improving MSE by 67% over GPR-K (MSE=14003) and 87% over LSTM-K (MSE=36172), while attaining an R² of 0.9847. Computation time is reduced to 39.04 seconds, a 21.5% gain over GPR-K (49.72s) and a 98% reduction compared to LSTM-K (1990.85s), thereby meeting real-time emergency response requirements.

Graphical Abstract
Distribution Field Construction and Prediction Method for Gas Leakage based on Kriging model and Gaussian Process

Keywords
gas leakage
field prediction
kriging model
markov random field
neighborhood structure
gaussian process

Data Availability Statement
Data will be made available on request.

Funding
This work was supported without any funding.

Conflicts of Interest
The authors declare no conflicts of interest.

AI Use Statement
The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate
Not applicable.

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Cite This Article
APA Style
Hou, C., Zha, Y., Yang, J., & Wang, N. (2026). Distribution Field Construction and Prediction Method for Gas Leakage based on Kriging model and Gaussian Process. ICCK Transactions on Systems Safety and Reliability, 2(1), 11–25. https://doi.org/10.62762/TSSR.2025.861997
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TY  - JOUR
AU  - Hou, Chenglong
AU  - Zha, Yuhao
AU  - Yang, Jun
AU  - Wang, Ning
PY  - 2026
DA  - 2026/02/03
TI  - Distribution Field Construction and Prediction Method for Gas Leakage based on Kriging model and Gaussian Process
JO  - ICCK Transactions on Systems Safety and Reliability
T2  - ICCK Transactions on Systems Safety and Reliability
JF  - ICCK Transactions on Systems Safety and Reliability
VL  - 2
IS  - 1
SP  - 11
EP  - 25
DO  - 10.62762/TSSR.2025.861997
UR  - https://www.icck.org/article/abs/TSSR.2025.861997
KW  - gas leakage
KW  - field prediction
KW  - kriging model
KW  - markov random field
KW  - neighborhood structure
KW  - gaussian process
AB  - Gas leakage poses a significant hazard in chemical industry operations, where failure to respond rapidly to gas diffusion can lead to poisoning, fire, or explosion. Timely and accurate prediction of gas dispersion is therefore essential for emergency decision-making and operational safety. While existing methods such as computational fluid dynamics, spatiotemporal statistics, and surrogate models emphasize prediction accuracy, they often suffer from excessive computational delays—especially critical in leak scenarios where casualties can occur within minutes. To address this gap, this paper introduces a Gaussian process-Markov random field-Kriging (GP-MRF-K) model for fast and reliable prediction of gas concentration fields. The approach integrates Markov random field (MRF) neighborhood structures into Kriging-based spatial interpolation, reducing computational complexity from O(n³) to O(n·m³), where n is the total grid points and m is the average neighbor count. Gas concentration time series are forecasted using Gaussian process regression (GPR), and the MRF-Kriging framework rapidly reconstructs the full concentration field. Validation with real ammonia concentration data from a warehouse-scale experimental setup confirms the feasibility and superiority of GP-MRF-K. With 150 training points and 10 prediction steps, the model achieves an MSE of 4660 and RMSE of 68.26, improving MSE by 67% over GPR-K (MSE=14003) and 87% over LSTM-K (MSE=36172), while attaining an R² of 0.9847. Computation time is reduced to 39.04 seconds, a 21.5% gain over GPR-K (49.72s) and a 98% reduction compared to LSTM-K (1990.85s), thereby meeting real-time emergency response requirements.
SN  - 3069-1087
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
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@article{Hou2026Distributi,
  author = {Chenglong Hou and Yuhao Zha and Jun Yang and Ning Wang},
  title = {Distribution Field Construction and Prediction Method for Gas Leakage based on Kriging model and Gaussian Process},
  journal = {ICCK Transactions on Systems Safety and Reliability},
  year = {2026},
  volume = {2},
  number = {1},
  pages = {11-25},
  doi = {10.62762/TSSR.2025.861997},
  url = {https://www.icck.org/article/abs/TSSR.2025.861997},
  abstract = {Gas leakage poses a significant hazard in chemical industry operations, where failure to respond rapidly to gas diffusion can lead to poisoning, fire, or explosion. Timely and accurate prediction of gas dispersion is therefore essential for emergency decision-making and operational safety. While existing methods such as computational fluid dynamics, spatiotemporal statistics, and surrogate models emphasize prediction accuracy, they often suffer from excessive computational delays—especially critical in leak scenarios where casualties can occur within minutes. To address this gap, this paper introduces a Gaussian process-Markov random field-Kriging (GP-MRF-K) model for fast and reliable prediction of gas concentration fields. The approach integrates Markov random field (MRF) neighborhood structures into Kriging-based spatial interpolation, reducing computational complexity from O(n³) to O(n·m³), where n is the total grid points and m is the average neighbor count. Gas concentration time series are forecasted using Gaussian process regression (GPR), and the MRF-Kriging framework rapidly reconstructs the full concentration field. Validation with real ammonia concentration data from a warehouse-scale experimental setup confirms the feasibility and superiority of GP-MRF-K. With 150 training points and 10 prediction steps, the model achieves an MSE of 4660 and RMSE of 68.26, improving MSE by 67\% over GPR-K (MSE=14003) and 87\% over LSTM-K (MSE=36172), while attaining an R² of 0.9847. Computation time is reduced to 39.04 seconds, a 21.5\% gain over GPR-K (49.72s) and a 98\% reduction compared to LSTM-K (1990.85s), thereby meeting real-time emergency response requirements.},
  keywords = {gas leakage, field prediction, kriging model, markov random field, neighborhood structure, gaussian process},
  issn = {3069-1087},
  publisher = {Institute of Central Computation and Knowledge}
}

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