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Direct numerical simulation of proppant transport in hydraulic fractures with the immersed boundary method and multi-sphere modeling

Hydraulic FracturesEngineeringImmersed Boundary MethodFluid-structure InteractionMechanicsFluid MechanicsMechanical EngineeringMechanical ModelingFluid-solid InteractionProppantsComputational MechanicsMultiphase FlowCrack FormationProppant TransportDynamic Crack Propagation