Adachi, 2007, Computer simulation of hydraulic fractures, Int J Rock Mech Min Sci, 44, 739, 10.1016/j.ijrmms.2006.11.006
Dejam, 2019, Advective-diffusive-reactive solute transport due to non-Newtonian fluid flows in a fracture surrounded by a tight porous medium, Int J Heat Mass Tran, 128, 1307, 10.1016/j.ijheatmasstransfer.2018.09.061
Guo, 2014, Experimental investigation on damage mechanism of guar gum fracturing fluid to low-permeability reservoir based on nuclear magnetic resonance, J Energy Resour Technol, 140, 10.1115/1.4039324
Liu, 2020, Numerical simulation of stress shadow in multiple cluster hydraulic fracturing in horizontal wells based on lattice modelling, Eng Fract Mech, 238, 10.1016/j.engfracmech.2020.107278
Zhang, 2018, Performance analysis for a model of a multi-wing hydraulically fractured vertical well in a coalbed methane gas reservoir, J Pet Sci Eng, 166, 104, 10.1016/j.petrol.2018.03.038
Dong, 2023, Development model and identification of evaluation technology for Wufeng Formation–Longmaxi Formation quality shale gas reservoirs in the Sichuan Basin, Nat Gas Ind B, 10, 165, 10.1016/j.ngib.2023.02.001
Guo, 2023, Key issues and explorations in shale gas fracturing, Nat Gas Ind B, 10, 183, 10.1016/j.ngib.2023.02.002
Zou, 2023, Principal characteristics of marine shale gas, and the theory and technology of its exploration and development in China, Nat Gas Ind B, 10, 1
Guo, 2023, Exploration, development, and construction in the Fuling national shale gas demonstration area in Chongqing: progress and prospects, Nat Gas Ind B, 10, 62, 10.1016/j.ngib.2023.01.009
Vandamme, 1989, A three-dimensional hydraulic fracturing simulator, Int J Numer Methods Eng, 28, 909, 10.1002/nme.1620280413
Acharya, 1988, Hydraulic-fracture-treatment design simulation, J Petrol Technol, 40, 139, 10.2118/17175-PA
Economides, 2009
Zheng, 2022, Proppant transport characteristics in tortuous fractures induced by supercritical CO2 fracturing, Nat Gas Ind B, 9, 457, 10.1016/j.ngib.2022.03.005
Baihly, 2010
Miller, 2011
Ugueto, 2016
Wheaton, 2016
Fredd, 2001, Experimental study of fracture conductivity for water-fracturing and conventional fracturing applications, SPE J, 6, 288, 10.2118/74138-PA
Hou, 2022, Effect of slickwater-alternate-slurry injection on proppant transport at field scales: a hybrid approach combining experiments and deep learning, Energy, 242, 10.1016/j.energy.2021.122987
Hu, 2018, A new model for simulating particle transport in a low-viscosity fluid for fluid-driven fracturing, AIChE J, 64, 3542, 10.1002/aic.16183
Sahai, 2014, Laboratory results of proppant transport in complex fracture systems
Lee, 2010, Experiment and modeling to evaluate the effects of proppant-pack diagenesis on fracture treatments, J Pet Sci Eng, 74, 67, 10.1016/j.petrol.2010.08.007
Guo, 2014, Experimental study of hydraulic fracturing for shale by stimulated reservoir volume, Fuel, 128, 373, 10.1016/j.fuel.2014.03.029
Tong, 2016, Proppant transport study in fractures with intersections, Fuel, 181, 463, 10.1016/j.fuel.2016.04.144
Tomac, 2014, Fluid lubrication effects on particle flow and transport in a channel[J], Int J Multiphas Flow, 65, 143, 10.1016/j.ijmultiphaseflow.2014.04.007
Zahari, 2018, Introduction of discrete phase model (DPM) in fluid flow: a review, AIP Conf Proc, 10.1063/1.5066875
Chu, 2011, CFD–DEM simulation of the gas–solid flow in a cyclone separator, Chem Eng Sci, 66, 834, 10.1016/j.ces.2010.11.026
Patankar, 2000, A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows, Int J Multiphas Flow, 26, 1509, 10.1016/S0301-9322(99)00100-7
Patankar, 2000, A new formulation of the distributed lagrang emultiplier/fictitious domain method for particulate flows[J], Int J Multiphas Flow, 26, 1509, 10.1016/S0301-9322(99)00100-7
Cundall, 1979, A discrete numerical model for granular assemblies, Geotechnique, 29, 47, 10.1680/geot.1979.29.1.47
Kruggel-Emden, 2007, Review and extension of normal force models for the discrete element method, Powder Technol, 171, 157, 10.1016/j.powtec.2006.10.004
Kim, 2008, A Granular motion simulation by discrete element method, J Mech Sci Technol, 22, 812, 10.1007/s12206-008-0112-7
Mindlin, 1953, Elastic spheres in contact under varying oblique forces, J Appl Mech, 20, 327, 10.1115/1.4010702
Kloss, 2012, Models, algorithms and validation for opensource DEM and CFD–DEM, Prog Comput Fluid Dyn Int J, 12, 140, 10.1504/PCFD.2012.047457
Kieckhefen, 2020, Possibilities and limits of computational fluid dynamics–discrete element method simulations in process engineering: a review of recent advancements and future trends, Annu Rev Chem Biomol Eng, 11, 397, 10.1146/annurev-chembioeng-110519-075414
Chu-Hsiang, 2019
Zhu, 2007, Discrete particle simulation of particulate systems: theoretical developments, Chem Eng Sci, 62, 3378, 10.1016/j.ces.2006.12.089
Bokane, 2014
Filippov, 2016
Chu-Hsiang, 2019
Almulhim, 2020
Wehunt, 2020
Liu, 2021
Durand, 1953, Basic relationships of the transportation of solids in pipes experimental research[J], J Int School Hydrology, 18, 89
Wasp, 1977
Oroskar, 1980, The critical velocity in pipeline flow of slurries[J], AIChE J, 269, 550, 10.1002/aic.690260405
Poirier, 2000
Turian, 1977, Flow of slurries in pipelines[J], AIChE J, 23, 232, 10.1002/aic.690230305
Gadde, 2004
Brannon, 2009
Dayan, 2009
Mack, 2013
Somnath, 2016, Coupled CFD/DEM simulation of hydrodynamic Bridging at constrictions[J], Multiph Flow, 13, 245
Wheaton, 2016
Guo, 2020, Numerical simulation of hydraulic fracturing of hot dry rock under thermal stress, Eng Fract Mech, 240, 10.1016/j.engfracmech.2020.107350
Li, 2020, Numerical simulation of temporarily plugging staged fracturing (TPSF) based on cohesive zone method, Comput Geotech, 121, 10.1016/j.compgeo.2020.103453
Gidaspow, 1992, Hydrodynamics of circulating fluidized beds: kinetic theory approach, vols. 75–82
Syamlal, 1993
Schaeffer, 1987, Instability in the evolution equations describing incompressible granular low, J Diff, Eq66, 19, 10.1016/0022-0396(87)90038-6
Li, 2017
Shih, 1995, A new k-ε eddy viscosity model for high Reynolds number turbulent flows, Comput Fluid, 24, 227, 10.1016/0045-7930(94)00032-T
Gruesbeck, 1982, Particle transport through perforations[J], Soc Petrol Eng J, 6, 57
Chhabra, 2007
Atul, 2013
Yuan, 2017