This article investigates the flow of deformable particles, such as droplets, through a network of narrow pores in rocks or porous media. It shows that when multiple droplets are trapped, the fluid flow is significantly affected, leading to an increase in pressure difference across the pore channels and the squeezing of particles through the channels. The study analyzes the conditions for single droplet flow and derives a rule for the collective flow of droplets in porous media.
The flow of deformable particles, such as droplets, dragged by a fluid, through a network of narrow pores inside rocks or other porous media is key in a range of applications, from enhanced oil recovery and water filtration to lab on a chip sorting of cells. The collective dynamics and its impact on the flow are poorly understood. Here, using droplets as a prototype, we show that collective transport can occur for conditions under which a single particle would get trapped at a pore channel. When a series of droplets gets trapped, the fluid flow is affected significantly, leading to an increase of the pressure difference across the pore channels, which, in turn, squeezes the particles through the channels. We analyze the conditions for a single droplet to flow through one pore and derive the corresponding Bond number. We also obtain a rule for the collective flow of droplets in porous media.
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