Linear solvers for reservoir simulation problems: An overview and recent developments
Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …
A two-stage preconditioner for multiphase poromechanics in reservoir simulation
Many applications involving porous media–notably reservoir engineering and geologic
applications–involve tight coupling between multiphase fluid flow, transport, and …
applications–involve tight coupling between multiphase fluid flow, transport, and …
A comprehensive model coupling embedded discrete fractures, multiple interacting continua, and geomechanics in shale gas reservoirs with multiscale fractures
Shale gas has become one of the primary energy resources during the past few years, and
its impact has been profound in many countries. Hydraulic fracturing treatments are required …
its impact has been profound in many countries. Hydraulic fracturing treatments are required …
A set of new stable, explicit, second order schemes for the non-stationary heat conduction equation
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially
discretized heat or diffusion equation. After discretizing the space and the time variables …
discretized heat or diffusion equation. After discretizing the space and the time variables …
A scalable multigrid reduction framework for multiphase poromechanics of heterogeneous media
Simulation of multiphase poromechanics involves solving a multiphysics problem in which
multiphase flow and transport are tightly coupled with the porous medium deformation. To …
multiphase flow and transport are tightly coupled with the porous medium deformation. To …
[HTML][HTML] A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations
In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …
Multigrid reduction preconditioning framework for coupled processes in porous and fractured media
Many subsurface engineering applications involve tight-coupling between fluid flow, solid
deformation, fracturing, and similar processes. To better understand the complex interplay of …
deformation, fracturing, and similar processes. To better understand the complex interplay of …
Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method
We consider numerical simulation of two-phase flows in porous media using implicit
methods. Because of the complex features involving heterogeneous permeability and …
methods. Because of the complex features involving heterogeneous permeability and …
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids
Simulation of subsurface flows in porous media is difficult due to the nonlinearity of the
operators and the high heterogeneity of material coefficients. In this paper, we present a …
operators and the high heterogeneity of material coefficients. In this paper, we present a …
A parallel compositional reservoir simulator for large-scale CO2 geological storage modeling and assessment
Storing CO 2 in deep aquifers and depleted gas reservoirs is an effective way to achieve
carbon neutrality. However, the numerical simulation of CO 2 storage in these formations is …
carbon neutrality. However, the numerical simulation of CO 2 storage in these formations is …