Learned coupled inversion for carbon sequestration monitoring and forecasting with Fourier neural operators
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Abstract (arXiv)
Seismic monitoring of carbon storage sequestration is a challenging problem involving both fluid-flow physics and wave physics. Additionally, monitoring usually requires the solvers for these physics to be coupled and differentiable to effectively invert for the subsurface properties of interest. To drastically reduce the computational cost, we introduce a learned coupled inversion framework based on the wave modeling operator, rock property conversion and a proxy fluid-flow simulator. We show that we can accurately use a Fourier neural operator as a proxy for the fluid-flow simulator for a fraction of the computational cost. We demonstrate the efficacy of our proposed method by means of a synthetic experiment. Finally, our framework is extended to carbon sequestration forecasting, where we effectively use the surrogate Fourier neural operator to forecast the CO2 plume in the future at near-zero additional cost.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 5 of its 57 references that are in the map. First posted on arXiv 27 Mar 2022.
Builds on
5 of 57 references.
References · 5
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,806
- 2021Physics-Informed Neural Operator for Learning Partial Differential Equationscited by 516
- 2021Machine learning accelerated computational fluid dynamicscited by 461
- 2021U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flowcited by 292
- 2019Algorithms and software for projections onto intersections of convex and non-convex sets with applications to inverse problemscited by 3
Built on by
Citing papers per year: 2022: 2; 2023: 4; 2024: 0; 2025: 1.
7 papers.
- 2023Towards Stability of Autoregressive Neural Operatorscited by 54
- 2023Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equationcited by 32
- 2022Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEscited by 13
- 2023Solving multiphysics-based inverse problems with learned surrogates and constraintscited by 9
- 2023Learned multiphysics inversion with differentiable programming and machine learningcited by 7
- 2022Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operatorcited by 1
- 2025A reduced-order derivative-informed neural operator for subsurface fluid-flowcited by 1
- 2025A reduced-order derivative-informed neural operator for subsurface fluid-flow17 Sep 2025
- 2023Solving multiphysics-based inverse problems with learned surrogates and constraints18 Jul 2023
- 2023Towards Stability of Autoregressive Neural Operators18 Jun 2023
- 2023Learned multiphysics inversion with differentiable programming and machine learning12 Apr 2023
- 2023Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation27 Jan 2023
- 2022Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator29 Aug 2022
- 2022Model-Parallel Fourier Neural Operators as Learned Surrogates for Large-Scale Parametric PDEs4 Apr 2022