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Title: Boosting Barlow Twins Reduced Order Modeling for Machine Learning‐Based Surrogate Models in Multiphase Flow Problems

Journal Article · · Water Resources Research

Abstract We present an innovative approach called boosting Barlow Twins reduced order modeling (BBT‐ROM) to enhance the reliability of machine learning surrogate models for multiphase flow problems. BBT‐ROM builds upon Barlow Twins reduced order modeling that leverages self‐supervised learning to effectively handle linear and nonlinear manifolds by constructing well‐structured latent spaces of input parameters and output quantities. To address the challenge of high contrast data in multiphase flow problems due to injection wells and faults, we employ a boosting algorithm within BBT‐ROM. This algorithm sequentially trains a set of weak models (i.e., inaccurate models), improving prediction accuracy through ensemble learning. To evaluate the performance of BBT‐ROM, we conduct three three‐dimensional multiphase flow problems, including waterflooding and geologic carbon storage (GCS), with varying numbers of input parameter cases and model domain features. The results demonstrate that BBT‐ROM excels at predicting non‐wetting phase saturation (e.g., oil or saturation) and fluid pressure, with average relative errors ranging from 0.5% to 3%. Importantly, BBT‐ROM showcases robustness when faced with limited input parameter space during GCS testing.

Sponsoring Organization:
USDOE
OSTI ID:
2475447
Journal Information:
Water Resources Research, Journal Name: Water Resources Research Journal Issue: 10 Vol. 60; ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (59)

Effects of spatial heterogeneity and material anisotropy on the fracture pattern and macroscopic effective toughness of Mancos Shale in Brazilian tests journal August 2017
Assessment of CO 2 Storage Potential in Naturally Fractured Reservoirs With Dual‐Porosity Models journal March 2018
Scaling behavior of convective mixing, with application to geological storage of CO2 journal January 2007
Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media journal December 2016
Improving the robustness of the control volume finite element method with application to multiphase porous media flow journal May 2017
An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models: ADAPTIVE GREEDY PROCEDURE FOR THE OPTIMAL TRAINING OF PARAMETRIC ROMS journal September 2014
A POD-selective inverse distance weighting method for fast parametrized shape morphing: A POD-selective IDW method for fast parametrized shape morphing
  • Ballarin, Francesco; D'Amario, Alessandro; Perotto, Simona
  • International Journal for Numerical Methods in Engineering, Vol. 117, Issue 8 https://doi.org/10.1002/nme.5982
journal November 2018
An autoencoder‐based reduced‐order model for eigenvalue problems with application to neutron diffusion
  • Phillips, Toby R. F.; Heaney, Claire E.; Smith, Paul N.
  • International Journal for Numerical Methods in Engineering, Vol. 122, Issue 15 https://doi.org/10.1002/nme.6681
journal May 2021
A reduced-order model for groundwater flow equation with random hydraulic conductivity: Application to Monte Carlo methods: Reduced-Order Model for Groundwater Flow journal June 2013
Early Stopping - But When? book January 1998
Certified Reduced Basis Methods for Parametrized Partial Differential Equations book January 2016
PorePy: an open-source software for simulation of multiphysics processes in fractured porous media journal October 2020
Prediction of multiphase flows with sharp interfaces using anisotropic mesh optimisation journal October 2021
Benchmarks for single-phase flow in fractured porous media journal January 2018
Solution of diffusivity equations with local sources/sinks and surrogate modeling using weak form Theory-guided Neural Network journal July 2021
Non-intrusive reduced order modeling of natural convection in porous media using convolutional autoencoders: Comparison with linear subspace techniques journal February 2022
Modelling saline intrusion using dynamic mesh optimization with parallel processing journal June 2022
Continuous conditional generative adversarial networks for data-driven solutions of poroelasticity with heterogeneous material properties journal October 2022
Data-driven reduced order model with temporal convolutional neural network journal March 2020
Component-wise reduced order model lattice-type structure design journal August 2021
Machine learning acceleration for nonlinear solvers applied to multiphase porous media flow journal October 2021
Domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) nonlinear model reduction journal October 2021
Reduced order models for Lagrangian hydrodynamics journal January 2022
Data-driven modeling and learning in science and engineering journal November 2019
Dynamic mesh optimisation for geothermal reservoir modelling journal July 2021
Capacity assessment and cost analysis of geologic storage of hydrogen: A case study in Intermountain-West Region USA journal March 2023
Two- and three-phase horizontal slug flow simulations using an interface-capturing compositional approach journal December 2014
Non-intrusive reduced order modeling of nonlinear problems using neural networks journal June 2018
Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification journal August 2018
Conservative model reduction for finite-volume models journal October 2018
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations journal February 2019
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders journal November 2019
Gradient-based constrained optimization using a database of linear reduced-order models journal December 2020
Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems journal January 2021
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder journal February 2022
An investigation of hydromechanical effect on well productivity in fractured porous media using full factorial experimental design journal October 2019
Chemical and Hydrodynamic Mechanisms for Long-Term Geological Carbon Storage journal June 2014
Pore-scale simulation of mixing-induced calcium carbonate precipitation and dissolution in a microfluidic pore network: PORE-SCALE SIMULATION IN A MICROMODEL journal February 2012
Review of surrogate modeling in water resources: REVIEW journal July 2012
Highly parameterized inverse estimation of hydraulic conductivity and porosity in a three-dimensional, heterogeneous transport experiment: HIGHLY PARAMETERIZED INVERSE ESTIMATION IN 3-D journal October 2012
3-D Modeling of Induced Seismicity Along Multiple Faults: Magnitude, Rate, and Location in a Poroelasticity System journal November 2018
A Transdisciplinary Review of Deep Learning Research and Its Relevance for Water Resources Scientists journal November 2018
Deep Convolutional Encoder‐Decoder Networks for Uncertainty Quantification of Dynamic Multiphase Flow in Heterogeneous Media journal January 2019
Mitigating Injection‐Induced Seismicity Along Basement Faults by Extraction: Application to 2016–2018 Pohang Earthquakes journal April 2021
Geological carbon storage journal December 2009
Deep transfer operator learning for partial differential equations under conditional shift journal December 2022
Real-time high-resolution CO2 geological storage prediction using nested Fourier neural operators journal January 2023
An AI-based non-intrusive reduced-order model for extended domains applied to multiphase flow in pipes journal May 2022
Non-asymptotic Closed-Loop System Identification using Autoregressive Processes and Hankel Model Reduction conference December 2020
Data Compression Using Adaptive Coding and Partial String Matching journal January 1984
Dynamic Mode Decomposition book January 2016
Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction journal January 2019
SNS: A Solution-Based Nonlinear Subspace Method for Time-Dependent Model Order Reduction journal January 2020
An Artificial Compression Reduced Order Model journal January 2020
Upscaling two-phase flow in naturally fractured reservoirs journal November 2009
Physics-informed neural networks for solving nonlinear diffusivity and Biot’s equations journal May 2020
Lattice Boltzmann-Based Approaches for Pore-Scale Reactive Transport journal January 2015
Balanced Model Reduction via the Proper Orthogonal Decomposition journal November 2002
Supplemental materials for "Boosting Barlow Twins reduced order modeling for machine learning-based surrogate models in multiphase flow problems" dataset January 2024