Malgaresi, G.Khazali, N.Bedrikovetsky, P.2025-07-292025-07-292020Journal of Hydrology, 2020; 580:124235-1-124235-140022-16940022-1694https://hdl.handle.net/2440/146374The article studies axi-symmetric suspension and nano-colloidal transport with size-distributed fines in subterranean reservoirs and presents non-monotonic behaviour of the particle retention profiles (RPs). First, we introduce the averaging (upscaling) of the governing system for groundwater with fines over the probabilistic particle-size distribution, and use the analytical model for linear one-dimensional flows to match the laboratory experiments. One set of four tests provides breakthrough curves and post-mortem retention profiles; the results are closely matched. Another test gives retention profiles in three moments; high match was achieved for two moments. In all tests, the number of degrees of freedom of the experimental data array is higher than the number of tuned model parameters; therefore, the close match validates the mathematical model. Subsequently, we develop an upscaling procedure for axisymmetric flow, providing the transport equations for “averaged” particle population. Next, we solve the upscaled equations for suspension injection into a vertical well numerically. It was found out that the radial flows exhibit non-monotonic retention profiles (NRPs). The upscaled equations for axi-symmetric flow allow calculating well injectivity decline during suspension injection and the size of damaged zone, which is important for well stimulation design.en© 2019 Elsevier B.V. All rights reserved.Porous media; Groundwater flow; Colloid; Suspension; Upscaling; Analytical modelJournal article10.1016/j.jhydrol.2019.124235504052Khazali, N. [0000-0003-2358-3811]Bedrikovetsky, P. [0000-0002-4786-8275] [0000-0002-7100-3765] [0000-0003-2909-6731]