Article · Habaršy. Fizika-matematikalyķ ġylymdary seriâsy · December 15, 2021
PREDICTION OF OIL PRODUCTION USING PHYSICS-INFORMED NEURAL NETWORKS
Yerzhan Kenzhebek, Timur Imankulov, D.Zh. Akhmed-Zaki
Abstract
In recent years, modern information technologies have been actively used in various industries. The oil industry is no exception, since high-performance computing technologies, artificial intelligence algorithms, methods of collecting, processing and storing information are actively used to solve the problems of increasing oil recovery. Deep learning has made remarkable strides in a variety of applications, but its use for solving partial differential equations has only recently emerged. In particular, you can replace traditional numerical methods with a neural network that approximates the solution to a partial differential equation. Physically Informed Neural Networks (PINNs) embed partial differential equations into the neural network loss function using automatic differentiation. A numerical algorithm and PINN have been developed for solving the one-dimensional pressure equation from the Buckley-Leverett mathematical model. The results of numerical solution and prediction of the PINN neural network for solving the pressure equation are obtained.
More by Yerzhan Kenzhebek
- Separating Artificial-Viscosity Annealing from the L-BFGS Viscosity in Physics-Informed Neural Networks for Two-Phase FlowBig Data and Cognitive Computing · 2026
- Identifiability and Conditioning of Flux-Parameter Inversion for the Buckley–Leverett EquationMathematics · 2026
- Artificial-viscosity schedules for Buckley–Leverett PINNs: code and reproducibility archiveZenodo · 2026
- Physics-Informed Neural Networks for Coupled Non-Isothermal Two-Phase Flow in Porous Media: Training Pathologies, Remedies, and the Role of Gradient ConflictMachine Learning and Knowledge Extraction · 2026
