... artificial intelligence clojure programming language cobol upstream oil & gas argument arithmetic intensity time step computation mxcsl layout expression differentiation expression template operation problem size modeling & simulation software engineering gflop independent variable...

... reynolds upstream oil & gas time step transmissibility conformance improvement waterflooding fluid dynamics interwell connectivity allocation factor production period texas equation control pv well node insim-fpt-3d Introduction The fast and accurate simulation of underground...

... 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...

... time step solver resolution sfi implementation scaling method asset and portfolio management complex reservoir fluid dynamics simulation workflow multiscale sfi sfi simulation petroleum engineer timestep scenario Introduction Reservoir engineering is founded on the science...

... 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 of the solution in the near-well region is explicitly captured and efficiently estimated using the adequate norms...

.... 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...

... time step [ 26 ]. The fully implicit method is unconditionally stable [ 39 ], but requires massive computer memory, high computational cost and more code development effort. The fully implicit method has been adopted to study reservoir compaction and subsidence by Chin et al. [ 9 , 10 ] and Gutierrez...

... 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 where t denotes time, ϕ indicates porosity, and the subscript...

... 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...

... & Gas pore pressure stress TENSOR COMPONENT simulator coefficient formulation coupling mandel-cryer effect reservoir simulation displacement time step analytical solution mean stress geomechanical formulation z-direction stress permeability equation grid block Introduction...

... simulator speedup linear solver iteration cpr-fpf preconditioner iteration CPR preconditioner Newton iteration time step Efficiency cpu core processor solver preconditioner linear solver pvt measurement Introduction The black oil model is a classical multi-phase flow model in reservoir...

... 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...

... 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 of reservoirs play an important role in the global energy market nowadays. Shale gas...

... 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...

... reservoir simulation gridpoint snapshot evolutionary algorithm deim point Model Reduction reduction interpolation method spe 163 pressure field physics physics model machine learning Upstream Oil & Gas time step bsim saturation model reduction technique surrogate equation...

... 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...