Nonlinear solver based on trust region approximation for CO₂ utilization and storage in subsurface reservoir

Simulation of CO₂ utilization and storage (CCUS) in subsurface reservoirs with complex heterogeneous structures requires a model that captures multiphase compositional flow and transport. Accurate simulation of these processes necessitates the use of stable numerical methods that are based on an implicit treatment of the flux term...

Operator-based linearization approach for modeling of multiphase multi-component flow in porous media

A new approach for the linearization of governing equations that describe flow and transport in porous media is proposed in this work. It is based on an approximate representation of the exact physics of the problem, which is similar to an approximate representation of space and time discretization performed in conventional simulation. The...