“…Simultaneous transport of fluids and solid particles through rock fractures is ubiquitous in the Earth's crust with relevance in many geophysical phenomena and subsurface engineering and environmental applications, including dynamic stress (e.g., due to seismic waves) induced fracture unclogging (Candela et al., 2015; Barbosa et al., 2019; Y. Zhang, Manga, et al., 2022), hydraulic fracturing (Baldini et al., 2018; Jalali et al., 2018; Parisio & Yoshioka, 2020; Salimzadeh et al., 2020; Tong & Mohanty, 2016), borehole drilling (Elkatatny et al., 2020; She et al., 2020; M. B. Wang, Guo, & Chen, 2020), particulate contamination (Flury & Aramrak, 2017; He et al., 2023; Wu et al., 2021), and enhanced oil recovery (Aben et al., 2017; Baldini et al., 2018; Jasinski & Dabrowski, 2018; Liang et al., 2016; Woodworth & Miskimins, 2007). Fluids and particles can mix to form suspensions, and the flow dynamic of suspension in rock fracture is complex.…”