Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media

Frontiers in Physics

Alex Hansen¹  Morten Vassvik²  Santanu Sinha²  Magnus Aa. Gjennestad² 

[1] Beijing Computational Science Research Center, Beijing, China;PoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, Norway;

关键词: pore-network modeling;    two-phase flow;    porous media;    interface dynamics;    numerical simualtion;   

DOI  :  10.3389/fphy.2020.548497

来源: DOAJ

【 摘 要 】

We present in detail a set of algorithms for a dynamic pore-network model of immiscible two-phase flow in porous media to carry out fluid displacements in pores. The algorithms are universal for regular and irregular pore networks in two or three dimensions and can be applied to simulate both drainage displacements and steady-state flow. They execute the mixing of incoming fluids at the network nodes, then distribute them to the outgoing links and perform the coalescence of bubbles. Implementing these algorithms in a dynamic pore-network model, we reproduce some of the fundamental results of transient and steady-state two-phase flow in porous media. For drainage displacements, we show that the model can reproduce the flow patterns corresponding to viscous fingering, capillary fingering and stable displacement by varying the capillary number and viscosity ratio. For steady-state flow, we verify non-linear rheological properties and transition to linear Darcy behavior while increasing the flow rate. Finally we verify the relations between seepage velocities of two-phase flow in porous media considering both disordered regular networks and irregular networks reconstructed from real samples.

【 授权许可】

Unknown