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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2023 Number 84, Pages 36–51 (Mi vtgu1015)

MECHANICS

Analysis of the possibility of technogenic fracture blocking using a suspension system

D. A. Anur'eva, K. M. Fedorovb, A. Ya. Gil'manovb, A. P. Shevelevb, N. A. Morozovskiyc, K. V. Toropovc

a Tyumen Petroleum Research Center, Tyumen, Russian Federation
b University of Tyumen, Tyumen, Russian Federation
c Rosneft Oil Company, Moscow, Russian Federation

Abstract: 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, suspension, volume content of particles, law of conservation of mass, Poiseuille law, contact discontinuity, reflected wave.

UDC: 532.5-1/-9

Received: 16.08.2022
Accepted: July 10, 2023

DOI: 10.17223/19988621/84/4



© Steklov Math. Inst. of RAS, 2024