DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Stochastic representation and conditioning of process-based geological model by deep generative and recognition networks

Journal Article · · Petroleum Geoscience
ORCiD logo [1];  [2];  [3];  [3]
  1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States). Center for Applied Scientific Computing
  2. SambaNova Systems, Palo Alto, CA (United States)
  3. ExxonMobil Upstream Research Company, Spring, TX (United States)

Accurate and realistic geological modeling is the core of oil and gas development and production. In recent years, process-based methods are developed to produce highly realistic geological models by simulating the physical processes that reproduce the sedimentary events and develop the geometry. However, the complex dynamic processes are extremely expensive to simulate, making process-based models difficult to be conditioned to field data. In this work, we propose a comprehensive generative adversarial network framework as a machine-learning-assisted approach for mimicking the outputs of process-based geological models with fast generation. The main objective of our work is to obtain a continuous parametrization of the highly realistic process-based geological models which enables us to calibrate the models and condition the models to data. Numerical results are presented to illustrate the capability of our proposed methodology.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1988001
Report Number(s):
LLNL-JRNL-826205; ISSN 2041-496X; 1040744
Journal Information:
Petroleum Geoscience, Vol. 30, Issue 1; ISSN 1354-0793
Publisher:
The Geological Society of London - EAGECopyright Statement
Country of Publication:
United States
Language:
English

References (124)

Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory journal July 1990
Control-volume method for numerical simulation of two-phase immiscible flow in two- and three-dimensional discrete-fractured media: SIMULATION OF FLOW IN FRACTURED MEDIA journal July 2004
Finite element, discrete-fracture model for multiphase flow in porous media journal June 2000
An efficient numerical model for incompressible two-phase flow in fractured media journal June 2008
Efficient uncertainty quantification techniques in inverse problems for Richards’ equation using coarse-scale simulation models journal March 2009
Computational multiscale methods for linear poroelasticity with high contrast journal October 2019
Multicomponent fluid flow by discontinuous Galerkin and mixed methods in unfractured and fractured media: MULTICOMPONENT FLUID FLOW IN FRACTURED MEDIA journal November 2005
Multiscale model reduction for shale gas transport in fractured media journal May 2016
Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media journal April 2009
Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media journal August 2019
Constraint energy minimizing generalized multiscale finite element method for dual continuum model journal January 2020
Numerical Simulation of Water-Oil Flow in Naturally Fractured Reservoirs journal December 1976
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization journal March 2014
Residual-driven online generalized multiscale finite element methods journal December 2015
A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media journal June 2019
Hydraulic conductivity estimation in partially saturated soils using the adjoint method journal December 2006
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems journal January 2023
Application and Validation of an Upscaling Method for Unsaturated Water Flow Processes in Heterogeneous Soils journal July 2015
A general mass-conservative numerical solution for the unsaturated flow equation journal July 1990
A general and efficient formulation of fractures and boundary conditions in the finite element method
  • Juanes, Ruben; Samper, Javier; Molinero, Jorge
  • International Journal for Numerical Methods in Engineering, Vol. 54, Issue 12 https://doi.org/10.1002/nme.491
journal January 2002
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media journal January 2005
Modelling fluid flow in fractured-porous rock masses by finite-element techniques journal April 1984
Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods journal September 2016
Black-Oil Simulations for Three-Component, Three-Phase Flow in Fractured Porous Media journal June 2009
Comparison of Three FE-FV Numerical Schemes for Single- and Two-Phase Flow Simulation of Fractured Porous Media journal June 2011
Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games journal January 2017
Prediction of numerical homogenization using deep learning for the Richards equation journal May 2023
Numerical Simulation of Water Injection in Fractured Media Using the Discrete-Fracture Model and the Galerkin Method journal April 2003
Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model journal October 2019
BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients journal November 2017
Homogenization of a multiscale multi-continuum system journal June 2020
Multiscale finite element methods for high-contrast problems using local spectral basis functions journal February 2011
On fluid reserves and the production of superheated steam from fractured, vapor-dominated geothermal reservoirs journal January 1982
A quasi steady state method for solving transient Darcy flow in complex 3D fractured networks accounting for matrix to fracture flow journal February 2015
Adaptive generalized multiscale finite element methods for H(curl)-elliptic problems with heterogeneous coefficients journal January 2019
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations journal January 2023
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations journal March 2014
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] journal January 1960
Non-local multi-continua upscaling for flows in heterogeneous fractured media journal November 2018
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity journal September 2020
Flow Simulation in Three-Dimensional Discrete Fracture Networks journal January 2009
Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media journal May 2020
Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media journal May 1991
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques journal July 2020
Constraint Energy Minimizing Generalized Multiscale Finite Element Method journal September 2018
An Online Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Fractured Media journal June 2021
Constraint energy minimizing generalized multiscale finite element method in the mixed formulation journal February 2018
A Comparison of Numerical Simulation Models For One-Dimensional Infiltration journal March 1977
Multiscale model reduction for shale gas transport in a coupled discrete fracture and dual-continuum porous media journal December 2017
Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media journal January 2014
Coupling of multiscale and multi-continuum approaches journal March 2017
An Efficient Discrete-Fracture Model Applicable for General-Purpose Reservoir Simulators journal June 2004
The Behavior of Naturally Fractured Reservoirs journal September 1963
A multiple-continuum model for simulating single-phase and multiphase flow in naturally fractured vuggy reservoirs journal July 2011
Constrained energy minimization based upscaling for coupled flow and mechanics journal January 2019
Efficient 3D inversions using the Richards equation journal July 2018
Theory of functional connections applied to quadratic and nonlinear programming under equality constraints journal May 2022
A generalized multiscale finite element method for poroelasticity problems II: Nonlinear coupling journal May 2016
Numerical Solution of Richards' Equation: A Review of Advances and Challenges journal October 2017
A Multiple-Porosity Method for Simulation of Naturally Fractured Petroleum Reservoirs journal February 1988
An adaptive GMsFEM for high-contrast flow problems journal September 2014
Finite Element - Node-Centered Finite-Volume Two-Phase-Flow Experiments With Fractured Rock Represented by Unstructured Hybrid-Element Meshes journal December 2007
A mixed-dimensional finite volume method for two-phase flow in fractured porous media journal July 2006
An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems journal January 2018
Analysis of non-local multicontinuum upscaling for dual continuum model journal May 2022
Multiscale model reduction for shale gas transport in poroelastic fractured media journal January 2018
A mass conservative numerical solution for two-phase flow in porous media with application to unsaturated flow journal October 1992
Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media journal August 2020
A two-phase flow simulation of a fractured reservoir using a new fissure element method journal December 2001
Multiscale simulations for upscaled multi-continuum flows journal August 2020
Weighted Monte Carlo Integration journal December 1978
Generalized multiscale finite elements for simulation of elastic-wave propagation in fractured media journal January 2018
Generalized multiscale finite element methods (GMsFEM) journal October 2013
Localization of elliptic multiscale problems journal June 2014
Generalized macroscale model for Cosserat elasticity using Generalized Multiscale Finite Element Method journal July 2022
Fast online generalized multiscale finite element method using constraint energy minimization journal February 2018
Sparse operator compression of higher-order elliptic operators with rough coefficients journal December 2017
A general gridding, discretization, and coarsening methodology for modeling flow in porous formations with discrete geological features journal October 2016
Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces journal January 2010
Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation journal January 2020
Space-time GMsFEM for transport equations journal July 2018
Multiscale simulations for multi-continuum Richards equations journal December 2021
Two-phase flow through fractured porous media journal August 2003
A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients journal January 2015
Generalized multiscale multicontinuum model for fractured vuggy carbonate reservoirs journal March 2020
Capillary Conduction of Liquids Through Porous Mediums journal November 1931
A mixed finite element technique based on implicit discretization of faults for permeability upscaling in fault damage zones journal August 2006
Multiscale Gas Transport in Shales With Local Kerogen Heterogeneities journal December 2012
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications journal January 2004
Conditional Simulation with Patterns journal April 2007
Parametric generation of conditional geological realizations using generative neural networks journal July 2019
Deep global model reduction learning in porous media flow simulation journal December 2019
Hierarchical object-based stochastic modeling of fluvial reservoirs journal October 1996
Convergence of a Numerical Scheme for Stratigraphic Modeling journal January 2005
Concept-Based Geologic Modeling Using Function Form Representation conference November 2012
Mathematical and numerical analysis of a stratigraphic model journal July 2004
Levees Formed by Turbidity Currents: A Depth‐Averaged Modeling Treatment journal July 2019
Sedimentological regimes for turbidity currents: Depth‐averaged theory journal July 2017
Deep Neural Networks for Acoustic Modeling in Speech Recognition: The Shared Views of Four Research Groups journal November 2012
Solving Bayesian inverse problems from the perspective of deep generative networks journal June 2019
Compressed History Matching: Exploiting Transform-Domain Sparsity for Regularization of Nonlinear Dynamic Data Integration Problems journal October 2009
Data-space inversion using a recurrent autoencoder for time-series parameterization journal November 2020
Training‐Image Based Geostatistical Inversion Using a Spatial Generative Adversarial Neural Network journal January 2018
Deep learning journal May 2015
3D CNN-PCA: A deep-learning-based parameterization for complex geomodels journal March 2021
Time-lapse seismic history matching with an iterative ensemble smoother and deep convolutional autoencoder journal January 2020
Combining geologic-process models and geostatistics for conditional simulation of 3-D subsurface heterogeneity: COMBINING MODELS FOR CONDITIONAL SIMULATION journal May 2010
Direct Modeling of Reservoirs Through Forward Process-Based Models: Can We Get There? conference January 2008
Reconstruction of three-dimensional porous media using generative adversarial neural networks journal October 2017
Conditioning of Generative Adversarial Networks for Pore and Reservoir Scale Models conference June 2018
Self-accelerating turbidity currents journal October 1986
Efficient real-time reservoir management using adjoint-based optimal control and model updating journal March 2006
Deep learning in neural networks: An overview journal January 2015
Deep-learning-based surrogate flow modeling and geological parameterization for data assimilation in 3D subsurface flow journal April 2021
A New Differentiable Parameterization Based on Principal Component Analysis for the Low-Dimensional Representation of Complex Geological Models journal July 2014
Efficient deep learning techniques for multiphase flow simulation in heterogeneous porousc media journal January 2020
Effective Parametrization for Reliable Reservoir Performance Predictions journal January 2012
Semantic Image Inpainting with Deep Generative Models conference July 2017
Filter-Based Classification of Training Image Patterns for Spatial Simulation journal January 2006
Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems journal November 2019
Deep Model Reduction-Model Learning for Reservoir Simulation conference March 2019
Generating geologically realistic 3D reservoir facies models using deep learning of sedimentary architecture with generative adversarial networks journal June 2019
Unpaired Image-to-Image Translation Using Cycle-Consistent Adversarial Networks conference October 2017
Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data journal October 2019