Abstract: Systems, computer-readable media, and methods are described for performing a reservoir simulation by obtaining reservoir data, obtaining simulation parameters, determining partial differential equations based on the simulation parameters, and performing a timestep of the reservoir simulation based on the reservoir data and the partial differential equations by removing an effect of long coherent structures with high contrasts, such as fractures, faults, high and low permeability channels, or shale layers, from the partial differential equations to generate adapted partial differential equations, and performing an algebraic multiscale method on the adapted partial differential equations to generate an approximated solution. The approximated solution can be used in a subsequent timestep of the reservoir simulation.

Abstract: Systems, computer-readable media, and methods are described for performing a reservoir simulation by obtaining reservoir data, obtaining simulation parameters, determining partial differential equations based on the simulation parameters, and performing a timestep of the reservoir simulation based on the reservoir data and the partial differential equations by removing an effect of long coherent structures with high contrasts, such as fractures, faults, high and low permeability channels, or shale layers, from the partial differential equations to generate adapted partial differential equations, and performing an algebraic multiscale method on the adapted partial differential equations to generate an approximated solution. The approximated solution can be used in a subsequent timestep of the reservoir simulation.

Abstract: A projection-based embedded discrete fracture model (pEDFM) method for simulation of flow through subsurface formations. The pEDFM includes independently defining one or more fracture and a matrix grids, identifying cross-media communication points, and adjusting one or more matrix-matrix and a fracture-matrix transmissibilities in a vicinity of a fracture network. The pEDFM allows for accurately modeling the effect of fractures with general conductivity contrasts relative to the matrix, including impermeable flow barriers. This may be achieved by automatically adjusting the matrix transmissibility field, in accordance to the conductivity of neighboring fracture networks, alongside the introduction of additional matrix-fracture connections.

Abstract: Computing systems, methods, and computer-readable media for modeling behavior of at least one fluid in a reservoir are disclosed. More particularly, the techniques provide consistent and robust numerical formulations for solutions to linear system of equations arising from the linearization of coupled nonlinear hyperbolic/parabolic (elliptic) partial differential equations (PDEs) of fluid flow in heterogeneous anisotropic porous media.

Abstract: A method, system and computer program product are disclosed for simulating fluid flow in a fractured subterranean reservoir. A reservoir model representative of a fractured subterranean reservoir is provided. The reservoir model includes porous matrix control volumes and a network of fractures, which define fracture control volumes, overlying the porous matrix control volumes. A system of equations based on scale separation is constructed for fluid flow in the porous matrix control volumes and the fracture control volumes. The system of equations can include fracture equations having a pressure vector for each network of fractures that is split into an average pressure value and remainder pressure value. The system of equations based on scale separation is sequentially solved, such as by using an iterative Multi-Scale Finite Volume (MSFV) method.

Abstract: Computer-implemented iterative multi-scale methods and systems are provided for handling simulation of complex, highly anisotropic, heterogeneous domains. A system and method can be configured to achieve simulation of structures where accurate localization assumptions do not exist. The iterative system and method smoothes the solution field by applying line relaxation in all spatial directions. The smoother is unconditionally stable and leads to sets of tri-diagonal linear systems that can be solved efficiently, such as by the Thomas algorithm. Furthermore, the iterative smoothing procedure, for the improvement of the localization assumptions, does not need to be applied in every time step of the computation.

Abstract: A method, system and computer program product are disclosed for simulating fluid flow in a fractured subterranean reservoir. A reservoir model representative of a fractured subterranean reservoir is provided. The reservoir model includes porous matrix control volumes and a network of fractures, which define fracture control volumes, overlying the porous matrix control volumes. A system of equations based on scale separation is constructed for fluid flow in the porous matrix control volumes and the fracture control volumes. The system of equations can include fracture equations having a pressure vector for each network of fractures that is split into an average pressure value and remainder pressure value. The system of equations based on scale separation is sequentially solved, such as by using an iterative Multi-Scale Finite Volume (MSFV) method.

Abstract: Computer-implemented iterative multi-scale methods and systems are provided for handling simulation of complex, highly anisotropic, heterogeneous domains. A system and method can be configured to achieve simulation of structures where accurate localization assumptions do not exist. The iterative system and method smoothes the solution field by applying line relaxation in all spatial directions. The smoother is unconditionally stable and leads to sets of tri-diagonal linear systems that can be solved efficiently, such as by the Thomas algorithm. Furthermore, the iterative smoothing procedure, for the improvement of the localization assumptions, does not need to be applied in every time step of the computation.