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Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203903-MS
... 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...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193911-MS
... the residual and Jacobian that arise from both poroelasticity and rate-independent poroplasticity into the given basis to reduce one-way coupled flow and geomechanics computations. We approximate the tensors, for the energy equation, to minimize the serial-time. We consider the role of the heterogeneity...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, February 20–22, 2017
Paper Number: SPE-182707-MS
...-point statistics (covariances). Despite of these efforts, finding natural and simple representations of geological structures is still an active field of research. Tensor methodologies for parameter estimation constitute a relatively new subject in the reservoir simulation community, and Afra...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 23–25, 2015
Paper Number: SPE-173303-MS
... the finite element method for mechanics with the total Lagrangian approach scheme, while employing the finite volume method for flow. Geometrical nonlinearity from the total Lagrangian approach results in full-tensor permeability even though the initial permeability is isotropic. To deal with full-tensor...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 21–23, 2011
Paper Number: SPE-142206-MS
... equation system Eq.6 are the five interface pressures. N E = 8, N F = 6, N V = 5 Relationship between FPS and CVFE for a spatially constant tensor The relationship between respective double family FPS, TPS and double family CVFE schemes is given in [ 11 ] for a spatially constant...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 2–4, 2009
Paper Number: SPE-119029-MS
... Modeling & Simulation displacement day 0 Upstream Oil & Gas tensor fluid modeling Reservoir Characterization reservoir simulation compositional reservoir simulator matrix iteratively solution procedure equation of state geomechanics reservoir simulator simulator pressure...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 2–4, 2009
Paper Number: SPE-119168-MS
... & Gas fault reactivation mechanical constitutive model Reservoir Characterization Fluid Dynamics tensor MPa Modeling & Simulation shear plastic strain reactivation constitutive model equation damage model pressurization level continuum isotropic damage model bhp 6 isotropic damage...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 2–4, 2009
Paper Number: SPE-119186-MS
... Abstract New mutli-families of flux-continuous finite-volume methods are presented for the full-tensor pressure equation with general discontinuous coefficients for any cell type in three dimensions. Full pressure continuity that is built into the new methods leads to a quasi-positive...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 2–4, 2009
Paper Number: SPE-119001-MS
... where fractures are parallel to one of the principal axes. This assumption cannot adequately describe flow characteristics where there is variation in fracture spacing, length, and orientation. To overcome this shortcoming, the principle of the full permeability tensor in the discrete fracture network...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 3–5, 2003
Paper Number: SPE-79710-MS
... distributed formalism and a new sub-cell distributed formalism. grid quadrilateral permeability continuity condition triangle discretization matrix cvd scheme coefficient spe 79710 formulation upstream oil & gas general tensor flow in porous media boundary condition vertex...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 11–14, 2001
Paper Number: SPE-66358-MS
... Abstract A full tensor velocity field occurs in reservoir simulation whenever the computational grid is non-aligned with the tensor principal axes. Three contributing factors that can give rise to a full tensor pressure equation in reservoir simulation are anisotropic media, upscaling...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 14–17, 1999
Paper Number: SPE-51903-MS
... Abstract Standard simulators that can only allow for a diagonal tensor routinely perform simulations with O(1) errors in the velocity field whenever a full tensor is present. Two approaches that permit the use of diagonal tensor 2-point flux approximations are either (a) to only employ K...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Symposium, February 12–15, 1995
Paper Number: SPE-29147-MS
... ABSTRACT A classical finite volume scheme well known in computational aerodynamics [1] for solving the Transonic full potential equation is imported into reservoir simulation and applied to the full tensor pressure equation. Cell vertex discretisation is shown to be a natural framework...
Proceedings Papers

Paper presented at the SPE Symposium on Reservoir Simulation, February 17–20, 1991
Paper Number: SPE-21236-MS
... society of petroleum engineers permeability orthogonality equation grid flow in porous media mixed finite element method smoothness simulation grid block tensor computational space optimization problem node off-diagonal term artificial intelligence constraint fluid dynamics approximation...
Proceedings Papers

Paper presented at the SPE Symposium on Reservoir Simulation, February 1–4, 1987
Paper Number: SPE-16011-MS
... Abstract This paper presents an algorithm to compute transmissibility when there is permeability heterogeneity and anisotropy at the subgrid scale. The need for a tensor representation of macroscopic transmissibility in order to scale properly the effects of microscale permeability variations...

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