A Data-Driven Surrogate Modelling Approach for Acceleration of Short-Term Simulations of a Dynamic Urban Drainage Simulator

• Main Authors: Mahmood Mahmoodian, Jairo Arturo Torres-Matallana, Ulrich Leopold, Georges Schutz, Francois H. L. R. Clemens
• Format: Article
• Language: English
• Published: MDPI AG 2018-12-01
• Series: Water
• Subjects: surrogate model; data-driven; Gaussian process; emulator; urban drainage
• Online Access: https://www.mdpi.com/2073-4441/10/12/1849

In this study, applicability of a data-driven Gaussian Process Emulator (GPE) technique to develop a dynamic surrogate model for a computationally expensive urban drainage simulator is investigated. Considering rainfall time series as the main driving force is a challenge in this regard due to the high dimensionality problem. However, this problem can be less relevant when the focus is only on short-term simulations. The novelty of this research is the consideration of short-term rainfall time series as training parameters for the GPE. Rainfall intensity at each time step is counted as a separate parameter. A method to generate synthetic rainfall events for GPE training purposes is introduced as well. Here, an emulator is developed to predict the upcoming daily time series of the total wastewater volume in a storage tank and the corresponding Combined Sewer Overflow (CSO) volume. Nash-Sutcliffe Efficiency (<i>NSE</i>) and Volumetric Efficiency (<i>VE</i>) are calculated as emulation error indicators. For the case study herein, the emulator is able to speed up the simulations up to 380 times with a low accuracy cost for prediction of the total storage tank volume (medians of <i>NSE</i> = 0.96 and <i>VE</i> = 0.87). CSO events occurrence is detected in 82% of the cases, although with some considerable accuracy cost (medians of <i>NSE</i> = 0.76 and <i>VE</i> = 0.5). Applicability of the emulator for consecutive short-term simulations, based on real observed rainfall time series is also validated with a high accuracy (<i>NSE</i> = 0.97, <i>VE</i> = 0.89).