Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
K Lu, Y Jin, Y Chen, Y Yang, L Hou, Z Zhang… - … Systems and Signal …, 2019 - Elsevier
This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …
reduction in a variety of research areas. The historical development and basic mathematical …
[HTML][HTML] Use of reduced-order models in well control optimization
JD Jansen, LJ Durlofsky - Optimization and Engineering, 2017 - Springer
Many aspects of reservoir management can be expected to benefit from the application of
computational optimization procedures. The focus of this review paper is on well control …
computational optimization procedures. The focus of this review paper is on well control …
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction
A quadratic approximation manifold is presented for performing nonlinear, projection-based,
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …
Error control and loss functions for the deep learning inversion of borehole resistivity measurements
Deep learning (DL) is a numerical method that approximates functions. Recently, its use has
become attractive for the simulation and inversion of multiple problems in computational …
become attractive for the simulation and inversion of multiple problems in computational …
Trajectory piecewise quadratic reduced-order model for subsurface flow, with application to PDE-constrained optimization
S Trehan, LJ Durlofsky - Journal of Computational Physics, 2016 - Elsevier
A new reduced-order model based on trajectory piecewise quadratic (TPWQ)
approximations and proper orthogonal decomposition (POD) is introduced and applied for …
approximations and proper orthogonal decomposition (POD) is introduced and applied for …
A greedy non-intrusive reduced order model for shallow water equations
In this work, we develop Non-Intrusive Reduced Order Models (NIROMs) that combine
Proper Orthogonal Decomposition (POD) with a Radial Basis Function (RBF) interpolation …
Proper Orthogonal Decomposition (POD) with a Radial Basis Function (RBF) interpolation …
Fast multiscale reservoir simulations with POD-DEIM model reduction
We present a global/local model reduction for fast multiscale reservoir simulations in highly
heterogeneous porous media. Our approach identifies a low-dimensional structure in the …
heterogeneous porous media. Our approach identifies a low-dimensional structure in the …
[HTML][HTML] Methods for enabling real-time analysis in digital twins: A literature review
This paper presents a literature review on methods for enabling real-time analysis in digital
twins, which are virtual models of physical systems. The advantages of digital twins are …
twins, which are virtual models of physical systems. The advantages of digital twins are …
Improved waterflood analysis using the capacitance-resistance model within a control systems framework
Abstract The Capacitance Resistance Model (CRM) is a fast way for modeling and
simulating gas and waterflooding recovery processes, making it a useful tool for improving …
simulating gas and waterflooding recovery processes, making it a useful tool for improving …
Dimensionality reduction for production optimization using polynomial approximations
The objective of this paper is to introduce a novel paradigm to reduce the computational
effort in waterflooding global optimization problems while realizing smooth well control …
effort in waterflooding global optimization problems while realizing smooth well control …