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Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212206-MS
.... The results show that the stabilization is effective at smoothing the pressure field without adversely affecting the prediction quality of other quantities of interest. fluid dynamics reservoir simulation climate change stabilization subsurface storage injection stabilization flux equation...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212194-MS
.... united states government complex reservoir upstream oil & gas reservoir simulation scaling method grid refinement fracture grid modeling & simulation equation discrete fracture fracture china government grid pedfm fractured reservoir discrete fracture model matrix grid adaptive...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212198-MS
.... upstream oil & gas reservoir simulation asia government structural geology china government reservoir geomechanics equation modeling & simulation preconditioner janna ferronato geomechanical simulator gpu-accelerated simulator reservoir characterization journal website challenging...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212204-MS
... two novel components: (1) augment the state-space to yield a bi-linear system, and (2) an autoencoder based on a deep neural network to linearize physics reservoir equations in a reduced manifold employing a Koopman operator. Recognizing that reservoir simulators execute expensive Newton-Raphson...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212202-MS
... neural network uses the governing equations of the coupled hydraulic-geomechanical process as the loss function. Initial conditions and spatial rock property fields are taken as inputs to predict the variation of pressure and stress fields. A customized convolutional filter mimicking the higher-order...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212200-MS
... government coupling pi multiplier productivity near-wellbore poromechanic modeling accurate production forecast equation workflow fracture plane Introduction Geomechanics plays an import role in reservoir simulation and production forecasting. During production and injection, the evolution...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212199-MS
... Abstract Standard Newton methods that are used to advance fully implicit or adaptive implicit schemes in time often suffer from slow or stagnant convergence when natural initial guesses are too far from the solution or the discrete flow equations contain nonlinearities that are unbalanced...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212201-MS
... complexity and provide significant improvement in prediction performance. The second approach augments the residual terms in the neural network loss function with physics-based regularization that relies on the governing partial differential equations (PDE). Reduced physics models are used for the governing...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212251-MS
...Variational phase-field formulation Here, we derive the momentum balance and damage evolution equations following a variational approach. According to Mikelic et al. (2015) , the total potential energy functional for the phase-field hydraulic fracturing problem can be written as, (1...
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

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212229-MS
... iteration num prolongation operator boundary modeling & simulation algorithm preconditioner united states government europe government iteration convergence neighborhood transmissibility coarse grid equation linear solver convergence multistage preconditioner Introduction Since...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212240-MS
.... equation flow in porous media rehbinder fluid dynamics reservoir simulation wheeler united states government reservoir characterization upstream oil & gas reservoir geomechanics conservation fracture coupling thermoporoelasticity problem simulating thermoporoelasticity problem...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, March 28–30, 2023
Paper Number: SPE-212217-MS
... Abstract In this study, we utilize deep neural networks to approximate operators of a nonlinear partial differential equation (PDE), within the Operator-Based Linearization (OBL) simulation framework, and discover the physical space for a physics-based proxy model with reduced degrees...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203941-MS
... In comparison, we have for physical systems sets of equations describing partial differential equations (PDE), ordinary differential equations (ODE), and differential algebraic equations (DAE) (a combination of ordinary differential equations and algebraic equations). A DAE may be described...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203937-MS
... international journal algorithm upstream oil & gas simulation iteration petroleum engineer hydraulic fracturing fracture tip computer method analytical method fracture fluid-driven fracture propagation equation artificial intelligence engineering geomechanics propagation criterion time...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203917-MS
... Abstract The Physics Inspired Machine Learning (PIML) is emerging as a viable numerical method to solve partial differential equations (PDEs). Recently, the method has been successfully tested and validated to find solutions to both linear and non-linear PDEs. To our knowledge, no prior studies...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203965-MS
... ) Abstract Reservoir simulation is the most widely used tool for oil and gas production forecasting and reservoir management. Solving a large-scale system of nonlinear differential equations every timestep can be computationally expensive. In this work, we present a two-phase physics-constrained deep...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203934-MS
... of the Laplace equation in two dimensions. They present some error analysis and compare the solution with traditional finite volume and show that the solution obtained using neural networks loses some resolution. Rudy ([ 9 ]) presents a study on the data driven identification of parametric partial differential...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203911-MS
... upstream oil & gas mach number relaxation zone solid particle gas flow mass loading numerical investigation nozzle production control production logging water droplet supersonic gas flow wet steam shock wave supersonic nozzle equation steam quality Introduction Gas or steam...
Proceedings Papers

Paper presented at the SPE Reservoir Simulation Conference, October 26, 2021
Paper Number: SPE-203968-MS
... Linearization (OBL) for the system of discretized nonlinear governing equations. We use a fracture network generation algorithm that uses distributions for length, angles, size of fracture sets, and connectivity as its main input. This allows us to generate a large number of complex fracture networks...

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