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Reservoir engineers use large-scale numerical models to predict the production performance in oil and gas fields. However, these models are constructed based on scarce and often inaccurate data, making their predictions highly uncertain. On…

Numerical Analysis · Mathematics 2024-06-11 Mateus M. Lima , Alexandre A. Emerick , Carlos E. P. Ortiz

Data-space inversion (DSI) and related procedures represent a family of methods applicable for data assimilation in subsurface flow settings. These methods differ from model-based techniques in that they provide only posterior predictions…

Machine Learning · Statistics 2020-05-08 Su Jiang , Louis J. Durlofsky

History matching based on monitoring data will enable uncertainty reduction, and thus improved aquifer management, in industrial-scale carbon storage operations. In traditional model-based data assimilation, geomodel parameters are modified…

Machine Learning · Computer Science 2023-10-06 Su Jiang , Louis J. Durlofsky

Accurately assessing the potential for fault slip is essential in many subsurface operations. Conventional model-based history matching methods, which entail the generation of posterior geomodels calibrated to observed data, can be…

Machine Learning · Computer Science 2026-01-12 Xiaowen He , Su Jiang , Louis J. Durlofsky

Efficient and high-fidelity prior sampling and inversion for complex geological media is still a largely unsolved challenge. Here, we use a deep neural network of the variational autoencoder type to construct a parametric low-dimensional…

Machine Learning · Statistics 2017-10-26 Eric Laloy , Romain Hérault , John Lee , Diederik Jacques , Niklas Linde

We present a framework that enables estimation of low-dimensional sub-resolution reservoir properties directly from seismic data, without requiring the solution of a high dimensional seismic inverse problem. Our workflow is based on the…

Geophysics · Physics 2019-05-15 Anshuman Pradhan , Tapan Mukerji

Geothermal field modeling is often associated with uncertainties related to the subsurface static properties and the dynamics of fluid flow and heat transfer. Uncertainty quantification using simulations is a useful tool to design optimum…

Geophysics · Physics 2021-12-13 Hussein Hoteit , Xupeng He , Bicheng Yan , Volker Vahrenkam

Uncertainty quantification is critical in scientific inverse problems to distinguish identifiable parameters from those that remain ambiguous given available measurements. The Conditional Diffusion Model-based Inverse Problem Solver (CDI)…

Machine Learning · Computer Science 2026-01-27 Dmitrii Torbunov , Yihui Ren , Lijun Wu , Yimei Zhu

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

Applications · Statistics 2018-10-19 Leonardo Azevedo , Vasily Demyanov

Some applications of deep learning require not only to provide accurate results but also to quantify the amount of confidence in their prediction. The management of an electric power grid is one of these cases: to avoid risky scenarios,…

Machine Learning · Computer Science 2023-08-25 Michele Guerra , Simone Scardapane , Filippo Maria Bianchi

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

We formulate a novel approach to solve a class of stochastic problems, referred to as data-consistent inverse (DCI) problems, which involve the characterization of a probability measure on the parameters of a computational model whose…

Numerical Analysis · Mathematics 2024-04-19 Kirana Bergstrom , Troy Butler , Tim Wildey

Parameter retrieval and model inversion are key problems in remote sensing and Earth observation. Currently, different approximations exist: a direct, yet costly, inversion of radiative transfer models (RTMs); the statistical inversion with…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Daniel Heestermans Svendsen , Pablo Morales-Alvarez , Ana Belen Ruescas , Rafael Molina , Gustau Camps-Valls

Forecasting production reliably and anticipating changes in the behavior of rock-fluid systems are the main challenges in petroleum reservoir engineering. This project proposes to deal with this problem through a data-driven approach and…

Machine Learning · Computer Science 2025-08-27 Mateus A. Fernandes , Michael M. Furlanetti , Eduardo Gildin , Marcio A. Sampaio

A foundational challenge in uncertainty quantification involves estimating a probability measure on the space of uncertain parameters such that its push-forward through a computational model matches an observed probability measure on the…

Optimization and Control · Mathematics 2026-04-21 Tianyi Jiang , Troy Butler , Timothy Wildey , Tim Kutta , Haonan Wang

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Underground energy storage, which includes storage of hydrogen, compressed air, and CO2, requires careful monitoring to track potential leakage pathways, a situation where time-lapse seismic imaging alone may be inadequate. A recently…

Geophysics · Physics 2025-04-22 Abhinav Prakash Gahlot , Huseyin Tuna Erdinc , Felix J. Herrmann

The uncertainty quantification of Darcy flows using history matching is important for the evaluation and prediction of subsurface reservoir performance. Conventional methods aim to obtain the maximum a posterior or maximum likelihood…

Numerical Analysis · Mathematics 2025-04-16 Zhao Zhang , Xinpeng Li , Menghan Li , Jiayu Zhai , Piyang Liu , Xia Yan , Kai Zhang

We propose the Diffusion-Inversion-Net (DIN) framework for inverse modeling of groundwater flow and solute transport processes. DIN utilizes an offline-trained Denoising Diffusion Probabilistic Model (DDPM) as a powerful prior leaner, which…

Geophysics · Physics 2025-11-24 Xun Zhang , Weijie Yang , Jiangjiang Zhang , Simin Jiang

The aim of this study is to develop and apply an autonomous approach for predicting the probability of hydrocarbon reservoirs spreading in the studied area. The methodology uses machine learning algorithms in the problem of binary…

Geophysics · Physics 2023-06-05 Dmitry Ivlev
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