LAPSE:2023.8078
Published Article
LAPSE:2023.8078
On the Stability of Particle−Particle Interaction during Gravitational Settling
Mazen Hafez, Mahyar Ghazvini, Myeongsub Kim
February 24, 2023
Abstract
The elevated energy demand and high dependency on fossil fuels have directed researchers’ attention to promoting and advancing hydraulic fracturing (HF) operations for a sustainable energy future. Even though previous studies have demonstrated that the proppant suspension and positioning in slickwater play a vital role during the shut-in stage of the HF operations, minimal experimental work has been conducted on the fundamental proppant−proppant interaction mechanisms, especially a complete mapping of the interactions. This study utilizes high-speed imaging to provide a 2D space- and time-resolved investigation of two-particle (proppant models: 2 mm Ø, 2.6 g·cm−3) interactions during gravitational settling in different initial spatial configurations and rheological properties. The mapping facilitates the identification of various interaction regimes and newly observed particle trajectories. Pure water results at a settling particle Reynolds number (Rep) ~ 470 show an unstable particle−particle interaction regime characterized by randomness while altering pure water to a 25% (v/v) water−glycerin mixture (Rep ~ 200) transitions an unstable interaction to a stable prominent repulsion regime where particles’ final separation distance can extend up to four times the initial distance. This indicates the existence of Rep at which the stability of the interactions is achieved. The quantified trajectories indicate that when particles are within minimal proximity, a direct relation between repulsion and Rep exists with varying repulsion characteristics. This was determined by observing unique bottle-shaped trajectories in the prominent repulsion regimes and further highlighted by investigating the rate of lateral separation distance and velocity characteristics. Additionally, a threshold distance in which the particles do not interact (or negligibly interact) and settle independently seems to exist at the normalized 2D lateral separation distance.
Keywords
hydraulic fracturing, particle lateral velocity, particle–particle interaction, proppant settling, stable repulsion
Suggested Citation
Hafez M, Ghazvini M, Kim M. On the Stability of Particle−Particle Interaction during Gravitational Settling. (2023). LAPSE:2023.8078
Author Affiliations
Hafez M: Department of Ocean and Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA
Ghazvini M: Department of Ocean and Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA
Kim M: Department of Ocean and Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA [ORCID]
Journal Name
Energies
Volume
15
Issue
22
First Page
8721
Year
2022
Publication Date
2022-11-20
ISSN
1996-1073
Version Comments
Original Submission
Other Meta
PII: en15228721, Publication Type: Journal Article
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LAPSE:2023.8078
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https://doi.org/10.3390/en15228721
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