... intensity time step computation mxcsl layout expression differentiation expression template operation problem size modeling & simulation software engineering gflop independent variable operator derivative application automatic differentiation Introduction Owing to nonlinearity...

... by Peaceman equation. modeling & simulation enhanced recovery flow in porous media reservoir simulation artificial intelligence drillstem testing drillstem/well testing history matching wbhp insim-ft-3d characterization reynolds upstream oil & gas time step transmissibility...

... in this work. machine learning reservoir simulation fluid dynamics artificial intelligence deep learning geomodel flow in porous media history matching es-mda procedure realization prediction application production well neural network upstream oil & gas time step evaluation...

... artificial intelligence upstream oil & gas equation of state waterflooding enhanced recovery flow in porous media reservoir simulation heterogeneity workover convergence criteria realization time step solver resolution sfi implementation scaling method asset and portfolio management...

... the various error components, and target the singular effects of wells. On the basis of these estimators we design an adaptive fully-implicit solver that yields optimal nonlinear iterations and efficient time-stepping, while maintaining the accuracy of the solution. A key point is that the singular nature...

.... drilling operation Artificial Intelligence Upstream Oil & Gas coupling strategy implicit method Directional Drilling time step equation iteration MsWell local well solver solver mswell model reservoir simulation sequential iteration convergence subproblem Newton iteration society...

... sagassisted co 2 co 2 time step coupling scheme continuous co 2 reservoir geomechanics Upstream Oil & Gas Wheeler three-way coupling evolution strategy iterative coupling fixed-stress iterative coupling coupling injection coupling algorithm society of petroleum engineers Introduction...

... geomechanics basis matrix failure criterion procedure pod-tpwl result Durlofsky equation Reservoir Characterization regular training Upstream Oil & Gas flow-geomechanic problem time step matrix training run Introduction Geomechanical effects are often encountered in subsurface flow...

... engineers time step møyner partition grid møyner discretization refinement fine grid solver equation flow in porous media reordering transport equation basis function compositional simulation cubature rule Introduction Simulation of multiphase flow in porous media is a truly...

... oscillations in production forecasts that often occur when the surface network and reservoir model are coupled together time step lagged. We present a new technique for IPR calculations which significantly reduces or eliminates these oscillations and provides smoother more realistic production forecasts from...

... split coupling scheme with phase-field fracture propagation models. The multirate coupling algorithm utilizes different time-scales of the flow and mechanics problems, by allowing for multiple finer time steps for flow within one coarse mechanics time step. When applied to production scenarios...

... coupling step is usually based on an arbitrary condition like requiring a fixed number of time steps to occur in the flow simulation between coupling steps. When a coupling step occurs, a posteriori error estimate of the pore volume change is made. The simulation continues if the error is sufficiently...

... displacement time step analytical solution mean stress geomechanical formulation z-direction stress permeability equation grid block Introduction For processes such as oil and gas production from low permeability and unconsolidated reservoirs, energy production from geothermal reservoirs...

... method is fixed at 1 and ILUT(p,1e-3) is used as the solver for each subdomain problem. The simulation period is 2,000 days and the maximal time step is 100 days. Two computation nodes are used, each node has eight processors, and the total 16 MPI processors are employed to run the simulations. Summaries...

... Modeling & Simulation time step ben gharbia Fluid Dynamics relative permeability evolution reservoir simulation fugacity saturation equation CF formulation formulation society of petroleum engineers flow in porous media nvf formulation compositional multi-phase flow formulation molar...

... nonlinearity before the start of INB. The highly nonlinear region can be adaptively chosen in each time step. Hwang et al. (2014) first proposed such combined ANE-INB approach and applied it to the solution of the transonic full potential equation. In their work, the target equation is in steady state...

... equation computer molecule mean free path direct simulation monte carlo method flow in porous media Fluid Dynamics time step simulated molecule collision Introduction Shale gas is a reservoir type that can be classified under the unconventional natural gas category [ 1 ]. These types...

... variables (such as pressure p , saturation s , and mass fractions y cp ) and u n is a vector of control variables (either the well bottom hole pressure p BH or a well phase rate q p ) at the n -th time step Δ t n . We will also use the notations x and u for the sets of state and control...

... the average over an empirical data set of x , which is composed of x at different time steps in various simulations under different controls u . Also we can adopt the Galerkin projection approach, V = V ˜ ˜ to construct (4). Discrete Empirical Interpolation Method (DEIM) Proper Orthogonal...

... equations that can be discretized with standard implicit upwind methods to conserve mass and volume independent of the time step. In the absence of gravity and capillary forces, the splitting is unconditionally stable and the resulting nonlinear system of discrete transport equations can be permuted...