The optimization of subsurface flow processes is important for many applications, including
oil field operations and the geological storage of carbon dioxide. These optimizations are …

A trajectory piecewise linearization (TPWL) procedure for the reduced-order modeling of two-
phase flow in subsurface formations is developed and applied. The method represents new …

The determination of optimal well settings is very demanding computationally because the
simulation model must be run many times during the course of the optimization. For this …

Trajectory piecewise linearization (TPWL) represents a promising approach for constructing
reduced-order models. Using TPWL, new solutions are represented in terms of expansions …

Reduced-order modeling represents an attractive approach for accelerating computationally
expensive reservoir simulation applications. In this paper, we introduce and apply such a …

The large computational requirements associated with subsurface flow simulation limit the
use of realistic models for demanding applications such as optimization and uncertainty …

Subsurface flow modeling is essential for understanding and managing many energy-
related processes, including oil production and the geological storage of carbon dioxide …

Reservoir simulation of realistic systems can be computationally demanding because of the
large number of system unknowns and the intrinsic nonlinearity of typical problems …

Nonlinear model order reduction techniques for systems often make use of Proper
Orthogonal Decomposition (POD). In this work a method based on POD, called Missing …

Circuit simulation is an essential step within circuit design. Because of the increasing
complexity of the Integrated Circuits, electronic companies need fast and accurate …