Modern reservoir simulation must handle complex compositional fluid behavior, orders-of-
magnitude variations in rock properties, and large velocity contrasts. We investigate how …

The fully implicit method is the most commonly used approach to solve black-oil problems in
reservoir simulation. The method requires repeated linearization of large nonlinear systems …

The interplay of multiphase-flow effects and pressure/volume/temperature behavior
encountered in reservoir simulations often provides strongly coupled nonlinear systems that …

We present a robust and flexible sequential solution approach in which the flow equation is
solved on the original grid, whereas the transport equations are solved with a new dynamic …

A number of different multiscale methods have been developed as a robust alternative to
upscaling and as a means for accelerated reservoir simulation of high-resolution …

Many authors have used higher-order spatial discretizations to reduce numerical diffusion,
which can be particularly pronounced when simulating EOR processes involving active …

During the solution of fully implicit reservoir simulation time steps, it is often observed that
the computed Newton updates may be very sparse, considering computer precision. This …

The first part of the thesis serves as an introduction to modelling of flow and transport in
porous media from the perspective of reservoir simulation. We discuss generation of …

High-resolution discretizations can be advantageous in compositional simulation to reduce
excessive numerical diffusion that tends to mask shocks and fingering effects. In this work …

Reservoir simulation plays a vital role as oil and gas companies rely on them in the
development of new fields. Therefore, a reliable and fast reservoir simulation is a crucial …