الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
Immiscible fluid displacement in porous media occurs in several natural and industrial processes. For example, petroleum extraction from porous rock reservoirs uses water to displace oil. In this work, advanced simulations of immiscible (multi-component)fluid displacement were carried out using the lattice Boltzmann method in a digital rock model workflow. Realistic three-dimensional porous media geometries were extracted from micro-computed tomography (μCT) scans of actual sandstone samples. State-ofthe- art multiphase models were developed and utilized to capture the physical phenomena on the pore scale. The developed models were first established in twodimensions and then generalized to three-dimensions to represent actual physical domains. A new set of pressure boundary conditions was introduced and combined with a recently developed wetting boundary condition and an enhanced collision model to improve the applicability of the multiphase model. The developed model and boundary conditions suppress non-physical behaviors in previous multiphase models in the literature.Moreover, the computational performance of the developed models represented a critical problem in this research because obtaining results in a timely manner was crucial to the concept of the digital rock model. Hence, the computational power of graphical processing units (GPUs) was utilized to enhance the computational speed of the simulations significantly. Also, computer memory requirements represented asignificant bottleneck. So, a tiling algorithm was used to reduce the memory requirements to one half.The numerical models were developed to investigate the primary drainage and imbibition displacement processes in several systems including heterogeneous generated porous media, pack of spheres, and porous rock samples. The obtained results show that the developed models captured the underlying physical phenomena of fluid displacements at different wettability states.Significant parts of the research results were published in peer-reviewed journals (Sedahmed, Coelho, & Warda, 2022) (Sedahmed, Coelho, Araújo, Wahba, & Warda,2022).