2022/12/13 by Pin Zhang, Zhen-Yu Yin, Zhen‐Yu Yin +1 · 101 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Artificial neural network #Computer science #Consolidation (business) #Dam Engineering and Safety #Data mining #Engineering #Experimental data #Heuristic #Machine learning #Mathematics #Measure (data warehouse) #Model Reduction and Neural Networks #Monte Carlo method #Partial differential equation #Statistics #Structural Health Monitoring Techniques #Terzaghi's principle #Uncertainty quantification
paper · doi:10.1680/jgeot.22.00046
published in Géotechnique 74(7), 620-631 (ICE Publishing)
openalex publication_date 2022/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
Identifying governing equations from data and solving them to acquire spatio-temporal responses is desirable, yet highly challenging, for many practical problems. Data-driven modelling has shown significant potential to influence knowledge discovery in complex geotechnical processes. To demonstrate feasibility, in this study a physics-informed data-driven approach is developed to automatically recover Terzaghi's consolidation theory from measured data and obtain the corresponding solutions. This process incorporates several algorithms including sparse regression and prior information-based neural network (PiNet), transformed weak-form partial differential equations (PDEs) (to reduce sensitivity to noisy measurement) and Monte Carlo dropout to achieve a measure of prediction uncertainty. The results indicate that consolidation PDEs can be accurately extracted using the proposed approach, which is also shown to be robust to noisy measurements. PDEs solved by PiNet are also shown to provide excellent agreement with actual results, thus highlighting its potential for inverse analysis. The proposed approach is generic and provides an auxiliary method to verify heuristic interpretations of data or to directly identify patterns and obtain solutions without the need for expert intervention.