Abstract
Towards Smoothed Particle Hydrodynamics Simulation of Viscous Fingering in Porous Media
Highlights
Viscous fingering, which is observed at the interface between two immiscible fluids of different viscosities flowing through a porous medium when the more viscous fluid is displaced by the less viscous fluid [1,2], is a classical problem of fluid mechanics with important applications in oil recovery and earth drilling [3
6] and underpins the study of the wide range of Laplacian growth phenomena [7,8]. This phenomenon had been known to oil engineers for a long time, the first systematic studies of the interfacial instability during viscous fluid displacement appeared in the 1950s, using the Hele-Shaw cell as reference geometry based on the equivalence between the flow in a porous medium and the creeping flow between two parallel plates separated by a small gap
Introducing a smoothing function or smoothing kernel, the values of functions and spatial derivatives for a specific particle are approximated considering the interaction of that particle with a certain amount of neighbouring particles. This means that the physical quantities of a specific particle can be obtained by Copyright © All rights are reserved by Bertola V
Summary
Viscous fingering, which is observed at the interface between two immiscible fluids of different viscosities flowing through a porous medium when the more viscous fluid is displaced by the less viscous fluid [1,2], is a classical problem of fluid mechanics with important applications in oil recovery and earth drilling [3-. 6] and underpins the study of the wide range of Laplacian growth phenomena [7,8] This phenomenon had been known to oil engineers for a long time, the first systematic studies of the interfacial instability during viscous fluid displacement appeared in the 1950s, using the Hele-Shaw cell as reference geometry based on the equivalence between the flow in a porous medium and the creeping flow between two parallel plates separated by a small gap [1,2]. Introducing a smoothing function or smoothing kernel, the values of functions and spatial derivatives for a specific particle are approximated considering the interaction of that particle with a certain amount of neighbouring particles. This means that the physical quantities of a specific particle can be obtained by Copyright © All rights are reserved by Bertola V
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