... 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...

... Abstract We present our progress on the application of physics informed deep learning to reservoir 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...

... boundary condition flux reservoir simulation calculation coefficient tchelepi reservoir characterization grid upstream oil & gas tensor vector matrix gradient reservoir geomechanics approximation tangential projection application terekhov equation interface Introduction...

...) and directly predicts the stress tensor of the multiphysical system. As such, the solution can be programmed fully coupled with the hydraulic simulation module to predict the stress field with varying pressure and temperature of homogeneous poroelastic rocks under given stress boundary conditions. From...

... results support a priori stability analyses. equation of state stress method geomechanics stability artificial intelligence flow problem fracture length boundary condition hydraulic fracturing fracture aperture simulation stabilization term upstream oil & gas geomechanics problem...

... 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 a Bayesian framework. The focus...

... media bilinear form artificial intelligence fluid dynamics boundary condition application mvem polynomial reservoir characterization beirao da veiga freedom virtual element method upstream oil & gas mesh geometry fumagalli interface Introduction The simulation of underground...

... of the results. The sector model requires only 20 cores. To perform this workflow, the engineer needs only to add the definition of the sector to the model, and the type of boundary condition to apply. As a square is chosen here, which passes through all layers of the model, the stacked contour S in Equation (2...

... overlaying homogenized continua: the homogenized solid continuum and the homogenized fluid continuum. Upstream Oil & Gas microcrack microcrack growth hydraulic fracturing pore pressure boundary condition Artificial Intelligence Fluid Dynamics material property eghbalian flow in porous...

... metric coarse model partition resolution fine-scale model Water Breakthrough Time grid reservoir simulation model size boundary condition transmissibility coarse-scale model size oil-rate error society of petroleum engineers permeability Introduction In conventional upgridding...

... l ( ρ λ ) t ,   F g , v = ρ v λ v ( ρ λ ) t . Equations (1) , (2) and (3) are completed by boundary conditions and initial conditions. In the rest of the paper, K denotes the absolute permeability. We end this section by recalling...

... boundary conditions, and (3) the multiphase and compositional behavior of CO 2 and resident fluids. The Frio CO 2 injection pilot project was performed in Dayton, Texas and included two injection tests. The first injection test was conducted in the upper Frio Formation (Oligocene age) in October 2004...

... ) − α Δ c . The stationary state then satisfies the condition: (6) μ = 0 Similarly, the variational/functional derivative of the surface term in F ( c ) leads to a boundary condition on solid surfaces, ∂ Ω wall , to enforce a stationary state: (7) α ∇ c ⋅ n...

..., maintained the same oil recovery factor and required less investment. Artificial Intelligence gas lift optimization problem artificial lift system reservoir simulation gas injection Upstream Oil & Gas diameter evaluation boundary condition NPV production strategy platform location gas...

... integrator has been consistently formulated to give quadratic convergence rates. flow in porous media displacement Artificial Intelligence Upstream Oil & Gas co 2 reservoir simulation reservoir simulator multipoint flux geomechanics boundary condition fluid pressure Modeling...

... 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...

... problem since the multi-phase flow pressures, component masses and displacements unknowns are now discretized at the same location. Fluid Dynamics discretization boundary condition reservoir simulation pore pressure reservoir grid cell center Upstream Oil & Gas reservoir simulator...

... of the local transient approach relative to steady state upscaling methods. steady state recovery diffusivity equation Upstream Oil & Gas boundary condition PSS reservoir simulation calculation effective transmissibility characteristic time society of petroleum engineers effective...

... pore shale gas adsorbed gas shale matrix boundary condition recovery factor inorganic matter fracture interface complex reservoir water saturation nanopore hydraulic fracture free gas matrix equation permeability TOC gas density Introduction Owing to its very fine grain...

.... discretization Nordbotten reservoir simulation deformation equation boundary condition example 1 Upstream Oil & Gas coupling scheme convergence solver coupling formulation society of petroleum engineers saturation equation geomechanics example 2 full pressure coupling injection deformation...