Physics-Informed Localized Learning for Advection-Diffusion-Reaction Systems
Autor: | Sathujoda, Surya T., Sheth, Soham M. |
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Rok vydání: | 2023 |
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Druh dokumentu: | Working Paper |
Popis: | The global push to advance Carbon Capture and Sequestration initiatives and green energy solutions, such as geothermal, have thrust new demands upon the current state-of-the-art subsurface fluid simulators. The requirement to be able to simulate a large order of reservoir states simultaneously, in a short period of time, has opened the door of opportunity for the application of machine learning techniques for surrogate modelling. We propose a novel physics-informed and boundary condition-aware Localized Learning method which extends the Embed-to-Control (E2C) and Embed-to-Control and Observe (E2CO) models to learn local representations of global state variables in an Advection-Diffusion Reaction system. Trained on reservoir simulation data, we show that our model is able to predict future states of the system, for a given set of controls, to a great deal of accuracy with only a fraction of the available information. It hence reduces training times significantly compared to the original E2C and E2CO models, lending to its benefit in application to optimal control problems. Comment: Accepted to ICML 2023 workshop on New Frontiers in Learning, Control, and Dynamical Systems |
Databáze: | arXiv |
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