The introduction reviews topics relevant to the fundamental controls on fluid flow in
carbonate reservoirs and to the prediction of reservoir performance. The review provides …

Multi-phase multi-component flow processes are fundamental to engineering applications in
hydrocarbon and geothermal reservoirs but also to many classical geological processes …

Phototrophic organisms such as plants, photosynthetic bacteria, and algae use microscopic
complexes of pigment molecules to absorb sunlight. Within the light-harvesting complexes …

We consider a finite element approximation of a general semi-linear stochastic partial
differential equation (SPDE) driven by space-time multiplicative and additive noise. We …

The oil and gas industry is a technology-driven industry. Over the last two decades, it has
heavily made use of digital modeling and associated technologies (DMAT) to enhance its …

In recent years, stochastic partial differential equations (SPDEs) have become a well-studied
field in mathematics. With their increase in popularity, it becomes important to efficiently …

Simulation of geothermal systems is challenging due to coupled physical processes in
highly heterogeneous media. Combining the exponential Rosenbrock–Euler method and …

Biogeochemical reactive transport models (RTMs) are key for understanding the evolution of
the quality of groundwater systems and their interaction with anthropogenic activities. The …

We consider the numerical approximation of a general second order semi-linear parabolic
partial differential equation. Equations of this type arise in many contexts, such as transport …

In this paper, we consider the numerical approximation of a general second order semilinear
stochastic spartial differential equation (SPDE) driven by multiplicative and additive noise …