“…Surrogate models (SMs, also known as proxy models) are employed as an approximation method in the optimization process to reduce the cost of objective function evaluations when the underlying fullphysics model is expensive to simulate. Three main types of surrogate modeling approaches are commonly employed in the field development and control optimization problems: (1) physics-based approaches such as reduced order modeling (Van Doren et al, 2006;Cardoso and Durlofsky, 2010;Durlofsky, 2010;He and Durlofsky, 2014;Trehan and Durlofsky, 2016) or streamline-based simulation methods (Thiele and Batycky, 2003;Park and Datta-Gupta, 2011;Salehian and Çınar, 2019;Ushmaev et al, 2019), (2) Machine Learning (ML) techniques such as support vector machine (SVM) (Drucker et al, 1997;Guo and Reynolds, 2018;Panja et al, 2018;Zhang et al, 2021), Artificial Neural Network (ANN) (Jain et al, 1996;Güyagüler et al, 2002;Yeten et al, 2003;Golzari et al, 2015;Rahmanifard and Plaksina, 2019;Sabah et al, 2019;Sun and Ertekin, 2020;Enab and Ertekin, 2021;Gouda et al, 2021), Gaussian Process Regression (GPR) (Knowles, 2006;Zhang et al, 2009;Horowitz et al, 2013) methods, and (3) Deep Learning (DL) methods such as Convolutional Neural Network (CNN) (LeCun et al, 1998;Glorot et al, 2011;Hinton et al, 2012;Chu et al, 2020;Kim et al, 2020;Kim et al, 2021). Physics-based approaches can approximate the original reservoir behavior with lower-order equations to reduce the computational cost.…”