Problem of Blocking a Technogenic Fracture in the Reservoir Using a Suspension Mixture

Abstract

The solution of the problem of blocking a technogenic fracture in the reservoir by a suspension mixture is considered. The mathematical model based on the mass conservation laws for the disperse particles and carrier fluid is used. The flow velocity of disperse particles through the fracture is calculated from the Poiseuille law and the carrier fluid outflow to the reservoir is described by Darcy’s law. It is found that the leading front of suspension slug corresponds to a contact discontinuity. It is shown that a reflected wave in the form of a discontinuity of the volume fraction of disperse particles begins to move counter the flow when the front of suspension slug reaches the fracture end and the fracture begins to be blocked up from this end. It is established that the movement of the reverse wave is gradually slowing down; therefore, blocking the entire fracture is turned out to be problematic.