... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

... 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...

..., 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...

... 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...

... 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...

... 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...

... 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...