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Keywords: boundary condition
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Proceedings Papers
Self-Adaptive Physics-Informed Neural Networks for CO2 Immiscible Flooding in Low-Permeability Oil Reservoirs
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 25–27, 2025
Paper Number: SPE-223838-MS
... and boundary conditions, though the introduction of complicated physics increases the nonlinearity of the governing PDEs. The self-adaptive mechanism modifies the behavior of the deep neural network by simultaneously minimizing the losses and maximizing the weights. It, thus, can effectively capture the non...
Proceedings Papers
Study on Coupling Parameters for Flow-Geomechanics Simulation Schemes
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 25–27, 2025
Paper Number: SPE-223890-MS
... permeability time step compartment flow and geomechanics boundary condition sequential-iterative scheme (5) σ _ = C _ : ϵ _ − b p I _ , where c f is the fluid compressibility and K is the drained bulk modulus. The equation can be simplified when b = 1 – K...
Proceedings Papers
Coupled Flow-Geomechanics Surrogate Model with Flexible Boundary Conditions for Geological CO 2 Storage Using Fourier Neural Operator Based Gated Recurrent Network
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 25–27, 2025
Paper Number: SPE-223871-MS
... heterogeneous geological properties, boundary conditions, injection rates, and bottomhole pressure constraints for up to three wells. The proposed GRU-FNO model delivers over 100,000x speedup compared to traditional simulators, achieving mean relative errors of 0.610% (saturation) and 0.083% (pressure...
Proceedings Papers
Theoretical Investigation of Unconditionally Stable Sequential Algorithms of Coupled Flow and Geomechanics for Hydraulically Fractured Systems
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203938-MS
... results support a priori stability analyses. equation of state stress method geomechanics stability hydraulic fracturing fracture aperture simulation stabilization term finite element method sequential method artificial intelligence flow problem fracture length boundary condition...
Proceedings Papers
Theoretical Analysis and Semi-Analytical Formulation for Efficient Thermal-Hydraulic-Mechanical Reservoir Simulation
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203923-MS
... stress equation reservoir geomechanics upstream oil & gas reservoir characterization reservoir simulation semi-analytical solution modeling & simulation stress approach stress difference primary variable governing equation stress field inhomogeneous boundary condition boundary...
Proceedings Papers
A Collocated Finite Volume Scheme for High-Performance Simulation of Induced Seismicity in Geo-Energy Applications
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203903-MS
... displacement boundary condition flux reservoir characterization upstream oil & gas tensor vector reservoir simulation calculation coefficient tchelepi reservoir geomechanics approximation tangential projection application terekhov equation matrix grid gradient interface Introduction...
Proceedings Papers
Physics Informed Deep Learning for Flow and Transport in Porous Media
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203934-MS
... simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The methodology is hereby used to simulate a 2-phase immiscible transport problem (Buckley-Leverett). The model is able to produce an accurate physical solution both...
Proceedings Papers
Physics Inspired Machine Learning for Solving Fluid Flow in Porous Media: A Novel Computational Algorithm for Reservoir Simulation
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203917-MS
... have examined the PIML method in terms of their reliability and capability to handle reservoir engineering boundary conditions, fractures, source and sink terms. Here we explored the potential of PIML for modelling 2D single phase, incompressible, and steady state fluid flow in porous media. The main...
Proceedings Papers
Automatic Calibration of a Geomechanical Model from Sparse Data for Estimating Stress in Deep Geological Formations
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-204006-MS
... simulation functionality of the open-source MATLAB Reservoir Simulation Toolbox (MRST) used to model the stress field. Adjoint-based nonlinear optimization was used to adjust boundary conditions and material properties to calibrate simulated results to observations. Results were interpreted through...
Proceedings Papers
The Mixed Virtual Element Method for Grids with Curved Interfaces in Single-Phase Flow Problems
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203998-MS
... characterization upstream oil & gas mesh geometry artificial intelligence fluid dynamics boundary condition application flow in porous media polynomial beirao da veiga freedom fumagalli mvem bilinear form interface virtual element method Introduction The simulation of underground flows...
Proceedings Papers
Compact Stacked Contour Applied to Full Field Simulation Lifecycle
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193871-MS
... of the reservoir model and applying a portfolio of boundary conditions to fit the current workflow. Throughout the lifecycle of the full-field reservoir model a variety of simulations are needed, including small, single and multiple well sensitivity studies (O(10 8 ) cells), regional models (O(10 7 ) cells...
Proceedings Papers
Multiscale Computations of Hydraulic Fracture Propagation in Low-Permeability Heterogeneous Rocks
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193873-MS
... vertical displacement flow in porous media modeling Simulation Mech fracture propagation fracture Rock Mech microcrack length hydraulic fracturing pore pressure boundary condition fluid flow matrix permeability porous matrix evolution fractured rock equation displacement coefficient...
Proceedings Papers
Validation of a Non-Uniform Coarsening and Upscaling Framework
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193891-MS
... simulation model size far-field region error metric coarse model coarse-scale model boundary condition partition oil-rate error permeability society of petroleum engineers transmissibility Water Breakthrough Time grid coarse-scale model size Introduction In conventional upgridding...
Proceedings Papers
Flexible Discretizations of the Three-Component Three-Phase Flow Problem
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193906-MS
... appearance and disappearance, as well as mass transfer between the vapor and liquid phase. Upstream Oil & Gas vapor phase boundary condition Rand Fluid Dynamics aqueous phase saturation phase pressure discontinuous galerkin method flow in porous media liquid phase mass transfer mass...
Proceedings Papers
A Near-Wellbore Study with a Drucker-Prager Plasticity Model Coupled with a Parallel Compositional Reservoir Simulator
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182627-MS
... integrator has been consistently formulated to give quadratic convergence rates. flow in porous media displacement reservoir simulation reservoir simulator Artificial Intelligence Upstream Oil & Gas geomechanics multipoint flux iteration co 2 fluid pressure boundary condition fluid flow...
Proceedings Papers
Evaluation of Reservoir and Production System Integration in Production Strategy Selection
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182624-MS
..., maintained the same oil recovery factor and required less investment. Artificial Intelligence gas lift gas injection Upstream Oil & Gas diameter boundary condition optimization problem case 0 lift rate NPV evaluation gaspar production strategy production system integration artificial...
Proceedings Papers
A Discontinuous Galerkin Finite Element Framework for the Direct Numerical Simulation of Flow on High-Resolution Pore-Scale Images
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182607-MS
... framework. Wettability on rock-fluid interfaces is accounted for via an energy-penalty based wetting (contact-angle) boundary condition. Individual balance equations are discretized by use of a flexible discontinuous Galerkin (DG) method. The discretization of the mass balance equation is semi-implicit...
Proceedings Papers
An Embedded Grid-Free Approach for Near Wellbore Streamline Simulation
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182614-MS
... is verified by matching boundary conditions and transport equations are solved along streamlines. The presented algorithm for solving near-wellbore streamlines is verified by both commercial finite element simulator and Pollock-algorithm-based 3D streamline simulator. Simulation results (including velocity...
Proceedings Papers
Pressure Coupling for Geomechanical Multi-Phase Flow Simulation Using Vertex Centered Flow Elements and Unstructured Grids
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182699-MS
... masses and displacements unknowns are now discretized at the same location. Fluid Dynamics discretization boundary condition workflow Upstream Oil & Gas reservoir simulator vertex iteration reservoir reservoir simulation pore pressure reservoir grid cell center pressure coupling...
Proceedings Papers
An Integrated Case Study of the Frio CO 2 Sequestration Pilot Test for Safe and Effective Carbon Storage Including Compositional Flow and Geomechanics
Available to PurchasePublisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182710-MS
... faults may not jeopardize the sealing integrity of faults. Upstream Oil & Gas boundary condition reservoir simulation co 2 Modeling & Simulation fault reactivation injection well Reservoir Characterization pore pressure Pilot Test storage reservoir model pressure boundary...
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