A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection

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 inj...

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Main Authors: Konstantin Mikhailovich Fedorov, Alexander Yanovich Gilmanov, Alexander Pavlovich Shevelev, Alexander Vyacheslavovich Kobyashev, Denis Alekseevich Anuriev
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/15/1727
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author Konstantin Mikhailovich Fedorov
Alexander Yanovich Gilmanov
Alexander Pavlovich Shevelev
Alexander Vyacheslavovich Kobyashev
Denis Alekseevich Anuriev
author_facet Konstantin Mikhailovich Fedorov
Alexander Yanovich Gilmanov
Alexander Pavlovich Shevelev
Alexander Vyacheslavovich Kobyashev
Denis Alekseevich Anuriev
author_sort Konstantin Mikhailovich Fedorov
collection DOAJ
description 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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spelling doaj.art-4bce5944dfcc430ab30dda5d3f8f4c582023-11-22T05:55:46ZengMDPI AGMathematics2227-73902021-07-01915172710.3390/math9151727A Theoretical Analysis of Profile Conformance Improvement Due to Suspension InjectionKonstantin Mikhailovich Fedorov0Alexander Yanovich Gilmanov1Alexander Pavlovich Shevelev2Alexander Vyacheslavovich Kobyashev3Denis Alekseevich Anuriev4Department of Modeling of Physical Processes and Systems, Institute of Physics and Technology, University of Tyumen, 6 Volodarskogo Str., 625003 Tyumen, RussiaDepartment of Modeling of Physical Processes and Systems, Institute of Physics and Technology, University of Tyumen, 6 Volodarskogo Str., 625003 Tyumen, RussiaDepartment of Modeling of Physical Processes and Systems, Institute of Physics and Technology, University of Tyumen, 6 Volodarskogo Str., 625003 Tyumen, RussiaTyumen Petroleum Research Center, 79/1 Osipenko Str., 625000 Tyumen, RussiaTyumen Petroleum Research Center, 79/1 Osipenko Str., 625000 Tyumen, RussiaThis 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.https://www.mdpi.com/2227-7390/9/15/1727mathematical model of suspension flowporous mediumsuspension stabilized by weak polymer gelsuspension penetration depthfiltration coefficientinflow profile conformance
spellingShingle Konstantin Mikhailovich Fedorov
Alexander Yanovich Gilmanov
Alexander Pavlovich Shevelev
Alexander Vyacheslavovich Kobyashev
Denis Alekseevich Anuriev
A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
Mathematics
mathematical model of suspension flow
porous medium
suspension stabilized by weak polymer gel
suspension penetration depth
filtration coefficient
inflow profile conformance
title A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
title_full A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
title_fullStr A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
title_full_unstemmed A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
title_short A Theoretical Analysis of Profile Conformance Improvement Due to Suspension Injection
title_sort theoretical analysis of profile conformance improvement due to suspension injection
topic mathematical model of suspension flow
porous medium
suspension stabilized by weak polymer gel
suspension penetration depth
filtration coefficient
inflow profile conformance
url https://www.mdpi.com/2227-7390/9/15/1727
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