... 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...

... 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...

... Abstract In this work, the application of tensor methodologies for computer-assisted history matching of channelized reservoirs is explored. A tensor-based approach is used for the parameterization of petrophysical parameters to reduce the dimensionality of the parameter estimation problem...

... 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...

... applied to strongly anisotropic full-tensor field problems the earlier point-wise continuous subcell tetrahedral-pressure-support (TPS) methods can fail to satisfy the maximum principle (as with other FEM and finite-volume methods) and result in spurious oscillations in the numerical pressure solution...

... 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...

... 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 model fluid flow constitutive behavior...

... ( ϕ 3 − ϕ 0 ) ) where T ij are approximate tensor coefficients derived from flux continuity conditions. The net flux contribution for a given tetrahedron vertex (index 0) from the three interior subcell faces is given by F = F 1 + F 2 + F 3 , and is written...

... 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...

... 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...

... In many cases the geology and grid will interact to create general full tensor coefficients in the flow equations. The limitations of the standard block centered and point distributed two point flux approximations are now well established [ 1 , 2 , 3 , 4 ]. However many commercial simulators...

... 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...

... Abstract A classical finite volume scheme well known in computational aerodynamics 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...

... smoothness simulation grid block tensor computational space spe 21236 physical space SPE SPE 21236 A Global Optimization Approach to Grid Generation C.L. Farmer, * D.E. Heath, and R.O. Moody, AEA Petroleum Services ·SPE Member Copyright 1991, Society of Petroleum Engineers, Inc. This paper...

... SPE Members 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 transmis-sibility in order to scale properly the effects of microscale...