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Keywords: matrix
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Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212178-MS
... life-cycle production optimization matrix stosag Introduction Life-cycle production optimization is a crucial step in closed-loop reservoir management and is defined as the maximization or minimization of a predefined production-driven objective function via changing the controls of the wells...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212180-MS
... robustly and efficiently but introduce significant overhead when using the conventional matrix factorization method to solve the associated Gauss-Newton trust-region subproblem (GNTRS). This paper analyzes and compares the performance of different approaches to solving a GNTRS. Solving a GNTRS involves...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212196-MS
... architecture procedure representation assimilation localization journal matrix convx1 Introduction Ensemble data assimilation methods are becoming industry standards in history-matching applications because their stability, fast convergence, and scalability for large-scale problems. Among...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212204-MS
... with specific loss functions and structure to transform the nonlinear equation and frame it as a bilinear system with constant matrices over time. In such a way, it forces the states (pressures and saturations) to evolve in time by simple matrix multiplications in the lifted manifold. We also adopt a "guided...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212241-MS
... equation united states government modeling & simulation fracture permeability mechanics displacement hydraulic fracture fracture permeability coefficient coupling iteration thermal expansion coefficient stiffness matrix fracture aperture Introduction EGS can be developed...
Proceedings Papers

Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212212-MS
... and perforated fraction of the wells at which the gradient of the objective function is being evaluated. Right: the distance matrix showing the pair-wise distance (ft) between the individual wells. Figure 9 A hypothetical development plan of producing and injector wells. The active wells during a given...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203994-MS
... , u t + 1 ) = 0. This equation can be solved by Newton's method using the Jacobian matrix J = ∂ g ∂ x . So, the state evolution can be calculated as: (3) x t + 1 = x t − ( J t + 1 ) − 1 [ F ( x t + 1...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203968-MS
... at the reservoir scale. We developed a pre-processing algorithm to simplify the fracture network and use graph theory to analyze the connectivity before and after pre-processing. Furthermore, we use metric space modeling methods for statistical analysis. A robust coarsening method for the Discrete Fracture Matrix...
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, October 26, 2021
Paper Number: SPE-203959-MS
... This paper focuses on the study of capillary diffusion between fracture and matrix, which is critical in improving the numerical accuracy of fluid transport due to capillary force in a fractured system. The Hybrid Unwinding method (HU) was derived for multi-phase flow in the presence of viscous...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203979-MS
... The state variables for matrix domain include pressure P : Ω m × ℝ + → ℝ 1 , saturation S : Ω m × ℝ + → ℝ 1 and displacement u : Ω m × ℝ + → ℝ 2 . The domain is governed by inertial momentum in mechanics and 2-phase Darcy flow. The matrix domain is divided into two distinct...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203988-MS
... Abstract The exploitation of shale gas has attracted extensive attention in industry and academia. Multi-scale gas transportation mechanisms in matrix and fractures have been well studied. However, due to the presence of water originating from both fracking fluids and connate water, shale gas...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203990-MS
.... This work focuses on developing a fully coupled multidomain model to describe and get insight into the process of CBM extraction, particularly from those compound-fractured coalbeds. A group of partial differential equations (PDEs) are derived to characterize gas transport from matrix to fractures...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203993-MS
... Abstract Streamline-based methods have proven to be effective for various subsurface flow and transport modeling problems. However, the applications are limited in dual-porosity and dual-permeability (DPDK) system due to the difficulty in describing interactions between matrix and fracture...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203981-MS
... in the fractured medium while the fracture-matrix fluid exchange is approximated using a physics-based transfer rate constant which models two-phase flow using an analytical solution for spontaneous imbibition or gravity drainage. The deformation of the system is described by the dualporosity poro-elastic theory...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-204011-MS
... dynamics computation algorithm upstream oil & gas gpu accelerator chrono flow in porous media linear system implementation reservoir simulation scalability application matrix petroleum engineer gpu-accelerated linear solver equation preconditioner fsai gpus Introduction...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203947-MS
... solution of Geoscience simulations coupled with new computing architectures drives the need for challenging parallel algorithms. Such applications based on partial differential equations, requires to solve large and sparse linear system of equations. This work makes a step further in Matrix Powers Kernel...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203983-MS
... matrix due to the discontinuous displacement across the fracture. As stated in geomechanical governing equation section, it has been assumed that there exists an elastic proppant between fracture faces, therefore, porosity and permeability are directly dependent on the fracture aperture ( Yan et al...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193818-MS
... scenarios. Gas huff-n-puff would improve the RF of each component compared with the depletion. The heavy component would first have a higher recovery than the light component at the first few cycles of huff-n-puff, but its RF will be outpaced by the light component when the gas saturation in the matrix...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, April 10–11, 2019
Paper Number: SPE-193846-MS
... of Coussy (2004) . At the macroscopic level the dual-continuum is seen as the superposition of two poromechanical continua in both space and time. Here we consider matrix and fracture continua, where properties and field quantities related to these pore domains are denoted by subscripts m and f...

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