... fluid dynamics artificial intelligence complex reservoir engineering intersection vertex finite element method grid harmonic shape function shape function international journal transmissibility integration point hydraulic fracturing upstream oil & gas discretization algorithm...

... to be updated dynamically, different from the drained bulk modulus used for typical poromechanics problems. For numerical tests, we take the extended finite element method for geomechanics while the piecewise constant finite element method is used for flow within an existing hydraulic fracture. The numerical...

... general semi-structured grids. Natural fracture networks are represented in large scale reservoirs using the phase-field approach. The fluid flow through fractures is simulated on spatially non-conforming grids using the enhanced velocity mixed finite element method. The geomechanics equations...

.... The model is applied to simultaneously assimilate well performance and microseismic observations, thereby informing about the causal event dynamics. Artificial Intelligence displacement poroelastic media matrix hydraulic fracturing discretization discontinuity finite element method Newton...

... Abstract A mixed discretization approach is propsed to adequately resolve fracture system while accurately and efficiently modeling both flow and geomechanics. An extended finite element method (XFEM) is applied to approximate the geomechanics, and an embedded-discrete-fracture model (EDFM...

... the Control Volume Finite Element Method (CVFEM) to solve the elliptic pressure equation. A scalable matrix solver (SAMG) is used to invert the linear system. A new edge-based CVFEM is developed to solve hyperbolic transport equations for time-of-flight and tracer distributions. An optimal reordering...

... Abstract A novel high-order, Double Control Volume Finite Element Method in which pressure is discretized using finite volumes is presented to model multiphase flow porous media simulations. This approach shows a better behavior to calculate the pressure field than the well-known Control Volume...

... mixed finite element method. The mechanics and flow systems are solved separately and coupled using a fixed-stress iterative coupling algorithm. This allows multiple flow models to be used with nonlinear mechanics without modification, and allows each type of physics to employ the best preconditioner...

... Simulation mpfa-o scheme finite element method element interface formulation society of petroleum engineers fluid modeling equation Artificial Intelligence Upstream Oil & Gas Voskov compositional reservoir simulation interface permeability tensor equation of state Introduction...

... is a Galerkin finite element method, and thus it can not guarantee local mass conservation. This can be observed in numerical simulations that use finite volume based approaches. Discrete Empirical Interpolation Method (DEIM) is used to approximate the nonlinear functions of fine-grid functions in Newton...

... Upstream Oil & Gas grid cell vector spe 163593 tetrahedral grid cvfem method finite element method inflow boundary boundary matrix grid pressure equation concentration reservoir simulation vertex MPFA method flux Denote equation Introduction Multiphase flow in porous media can...

... Abstract The Mortar Finite Element Method (MFEM) has been demonstrated to be a powerful technique in order to formulate a weak continuity condition at the interface of sub-domains in which different meshes, i.e. non-conforming or hybrid, and / or variational approximations are used...

... are approximated by a mixed finite element method with discontinuous interpolation for the rock strain and stress combined with continuous interpolation for the displacement. Furthermore, within the framework of the B -bar method ( Hughes, 2000 ; Zienkiewcz and Taylor, 2000 ; Simo and Hughes, 1998...

... intelligence engineering compaction domain decomposition method mesh subdomain equation mandel reservoir geomechanics finite element method upstream oil & gas wheeler application interface Introduction Hydrocarbon production or the injection of fluids in the reservoir can produce...

... among the three phases, in particular CO 2 solubility in water, 2) an implicit-pressure, explicit-composition scheme that uses the mixed hybrid finite element method to simultaneously solve for the pressure and the total volumetric flux, and a discontinuous Galerkin approximation to update mass...

... Abstract A robust and efficient simulation technique is developed based on the extension of the mimetic finite volume method to multiscale hierarchical hexahedral (corner-point) grids via use of the multiscale mixed finite element method. The implementation of the mimetic subgrid discretization...

... function finite element method Darcy flow coarse grid coarse block interface taylor-hood element Multiscale Method multiscale simulation fracture permeability grid stokes-brinkman equation vector matrix formulation equation Introduction Naturally fractured and carbonate reservoirs...

... an appropriate numerical quadrature to localize the mixed finite element method into a cell-centered finite difference method. For diagonal tensor coefficients, we recover the usual 7-point stencil. For full tensors, the method leads to a 27-point stencil of multipoint flux approximation (MPFA) methods...

...-point flux approximation flow in porous media Empfa bilinear approximation Artificial Intelligence Upstream Oil & Gas interpolation oscillation multipoint flux approximation interaction region flux approximation subvolume equation mesh grid finite element method permeability field...

... or strongly distorted grids. In this paper, we work in the mathematical framework of mixed finite element methods (MFEM). We study a low- and high-order accurate MFEM, based on the lowest order Raviart-Thomas space ( RT 0 ) and the Brezzi-Douglas-Marini space of order one ( BDM 1 ). On tetrahedrons...