Geodesic
Analysis of the possibility of technogenic fracture blocking using a suspension system
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 84 (2023), pp. 36-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of technogenic fracture blocking by a suspension mixture is relevant for preventing the producing wells from additional water inflow. The aim of this work is to evaluate the effect of fracture colmatation with polymer-dispersed compositions using a mathematical model of suspension transporting through a fracture. The suspension particles are assumed to be larger than the pore channels and do not penetrate into the reservoir. The problem is solved using a system of equations of continuum mechanics. The leading edge of the suspension slug represents contact discontinuity. It is determined that when the discontinuity approaches the end of the fracture, a reflected wave of the volume fraction of particles is formed, which moves toward the flow and blocks the fracture. At the same time, due to the need to maintain the same flow rate and fracture size reduction, there is a sharp increase in the downhole pressure preventing the fracture from complete blockage. Thus, the maximum blocked fracture size is determined. The obtained results are compared with field data.
Keywords: technogenic fracture, law of conservation of mass, contact discontinuity, reflected wave.
Mots-clés : suspension, volume content of particles, Poiseuille law 
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     title = {Analysis of the possibility of technogenic fracture blocking using a suspension system},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
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D. A. Anur'ev; K. M. Fedorov; A. Ya. Gil'manov; A. P. Shevelev; N. A. Morozovskiy; K. V. Toropov. Analysis of the possibility of technogenic fracture blocking using a suspension system. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 84 (2023), pp. 36-51. http://geodesic.mathdoc.fr/item/VTGU_2023_84_a3/

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