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Keywords: pressure equation
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Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193817-MS
... pressure equation arbogast Artificial Intelligence Fluid Dynamics mixed finite element method society of petroleum engineers dimension grid block saturation equation Introduction Standard finite volume methods used widely in reservoir simulators are accurate to relatively low order...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182682-MS
... simulation pressure equation basis function model reduction method flow in porous media society of petroleum engineers equation approximation nonlinear function POD subspace Efendiev online stage Introduction Optimization and uncertainty quantification are essential components of reservoir...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182677-MS
... approximated solutions for flows with high mobility ratios considering anisotropic and heterogeneous, possibly discontinuous, permeability tensors, even for distorted and unstructured polygonal meshes. In this context, the pressure equation is discretized by a linear non-orthodox cell-centered Multi-Point Flux...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182679-MS
... pressure equation møyner Multiscale Method porous media multiscale restriction-smoothed basis method Abstract Compositional simulation is attractive for a wide variety of applications in reservoir simulation and it is especially valuable when modeling gas injection for enhanced oil recovery...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173240-MS
... the microscopic problem to the mesoscale, where organic and inorganic matter, and interparticle pores are homogenized. The upscaling gives rise to a new nonlinear pressure equation for gas hydrodynamics in the interparticle pores including a new storage parameter dependent on the total carbon content (TOC...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173271-MS
... We solve the pressure equation with mixed method ( Fortin and Brezzi, 1991 ). By introducing the flux variable u = − λ(s)K ∇ p , we get the following first-order system (8) ( λ ( s ) K ) − 1 u + ∇ p = 0 , ∇ ⋅ u = q . Abstract...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173277-MS
... Artificial Intelligence Upstream Oil & Gas pressure solution Modeling & Simulation discretization accuracy mesh agglomerate coefficient vassilevski finite element discretization machine learning reservoir simulation pressure equation operator complexity construction lawrence livermore...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173322-MS
... The assumptions imposed when developing the flow equations are local thermodynamic equilibrium, ideal mixing, and Darcy's law. The mass balance equation is solved for each species. The aqueous pressure equation is obtained by an overall mass balance on volume-occupying components of water, oil...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163608-MS
... for systems. This, in turn, yields a – formally – very simple but simultaneously very flexible solution approach. reservoir simulation spe reservoir simulation symposium iteration saturation Modeling & Simulation pressure equation consideration coupling Upstream Oil & Gas Jacobian...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163593-MS
... reservoir simulation vertex MPFA method flux Denote equation concentration pressure equation Introduction Multiphase flow in porous media can be described by a set of conservation equations ( Aziz and Settari 1979 ; Chen et al. 2006 ; Peaceman 1977 ). Numerical methods for solving...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 18–20, 2013
Paper Number: SPE-163664-MS
... with the coupling of the flow (pressure) and transport (component overall concentration) problems. In this com- positional formulation, the overall continuity equation (i.e., conservation of total mass) is used to formulate the pressure equation. The resulting pressure equation conserves total mass by construction...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-140403-MS
... & simulation gridblock basis function reservoir simulation accuracy multiscale method formulation architecture finite element method reservoir model coarse grid mixed finite element method stratigraphic architecture scaling method upstream oil & gas pressure equation velocity basis function...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-141418-MS
... pressure equation basis function realization porous media permeability equation transmissibility Introduction With ever increasing detailed level of geological reservoir models, the numerical simulation of flow of hydrocarbon through such models is becoming computationally costly and time...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-141675-MS
... steady-state pressure equation on the underlying fine grid. The method is compatible with any reservoir simulator that allows general (unstructured) cell-to-cell connections. The expanded well modeling procedure is applied to challenging three-dimensional problems involving production in a low...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-141922-MS
...-assisted history matching or flooding optimization. flow in porous media proper orthogonal decomposition simulation modeling & simulation fluid dynamics eigenvalue artificial intelligence upstream oil & gas eigenvector pressure equation basis function snapshot covariance matrix...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-141954-MS
... analyze the transport error due to approximate flux fields. We then propose a-priori error estimate based on the residual of the pressure equation. At the beginning of the simulation we iterate until the specified pressure accuracy is achieved. To minimize the required iterations in time-dependent...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 2–4, 2009
Paper Number: SPE-118223-MS
... techniques, the CG subdomain only serves as an assemblage of the FG cells and not as a computational CG overlaying the FG cells. The flow equations are then restructured into a global pressure equation which is solved on the FG using a large time step without solving for the compositions, saturations, etc...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 26–28, 2007
Paper Number: SPE-106445-MS
... results are presented for a variety of cases involving flow through geologically complex systems. Modeling & Simulation Fluid Dynamics flow in porous media MFVM mesh pressure equation reservoir simulation discretization simulation problem Artificial Intelligence Upstream Oil & Gas...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 26–28, 2007
Paper Number: SPE-106250-MS
... and fluid velocities are computed by solving a pressure equation on a grid in physical space and the fluid transport is computed by solving 1-D transport problems along streamlines. The sequential Eulerian-Lagrangian procedure is the key to the high computational efficiency of streamline methods...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, January 31–February 2, 2005
Paper Number: SPE-93395-MS
... basis function boundary saturation equation simulator iteration time step scaling method msfv method computation equation coarse grid grid pressure equation upstream oil & gas Introduction The reliability of performance predictions obtained from numerical flow simulation depends...

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