By: Yina Liu, Xiang Rao, Xupeng He*, Hussein Hoteit
Abstract: This study pioneers the application of Boundary-Integral Neural Networks (BINNs) to subsurface flow simulation, addressing steady-state single-phase flow governed by Laplace-type equations in hydrocarbon reservoirs. BINNs synergistically integrate boundary integral equations (BIEs) with deep learning to overcome limitations of traditional mesh-based methods and Physics-Informed Neural Networks (PINNs). By leveraging Green’s functions, BINNs transform partial differential equations into boundary-only formulations, w…
Keywords: Deep Learning; Boundary integral equations (BIEs); Physics-informed neural networks (PINNs); Boundary-Integral Neural Networks(BINNs); Meshless Reservoir Simulation; Dimensionality Reduction