Mathematics (Jul 2021)

A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection

  • Konstantin Mikhailovich Fedorov,
  • Alexander Yanovich Gilmanov,
  • Alexander Pavlovich Shevelev,
  • Alexander Vyacheslavovich Kobyashev,
  • Denis Alekseevich Anuriev

DOI
https://doi.org/10.3390/math9151727
Journal volume & issue
Vol. 9, no. 15
p. 1727

Abstract

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This study is focused on a solution for the problem of suspension penetration in a porous formation. Such a solution forms the basis of injection profile diversion technology for oil reservoir sweep improvement. A conventional model of deep-bed suspension flow was used to describe the suspension injection process. The suspension slug was followed by water injection, and the inflow injection profile before and after treatment was investigated. For the first time, the criteria that determine the effectiveness of the inflow profile improvement process are introduced. The effect of the suspension filtration coefficient on the particle penetration depth was studied. A specific filtration coefficient value for the maximum penetration depth was achieved. The obtained analytical solution was generalized on multi-reservoir strata with poor interlayer crosslinking. The efficiency of profile conformance improvement was described by the differences in the root-mean-square deviations of the inflow velocities in interlayers from mean values before and after the treatment. It was shown that the complex criterion of suspension treatment efficiency should include a reduction in total injectivity. An increase in suspension slug volume improves the injectivity profile but decreases the total injectivity of an injector.

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