Identification of the boundary regime in the process of water-oil displacement from the reservoir
The water-oil displacement process (from a rectangular reservoir) has been considered, that is described by a nonlinear system of partial differential equations with respect to the reservoir pressure (RP) and displacing phase saturation (DPS). Within the framework of the proposed model, the task of...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Peter the Great St.Petersburg Polytechnic University
2024-12-01
|
| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| Subjects: | |
| Online Access: | https://physmath.spbstu.ru/article/2024.77.05/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841526658666856448 |
|---|---|
| author | Gamzaev Khanlar |
| author_facet | Gamzaev Khanlar |
| author_sort | Gamzaev Khanlar |
| collection | DOAJ |
| description | The water-oil displacement process (from a rectangular reservoir) has been considered, that is described by a nonlinear system of partial differential equations with respect to the reservoir pressure (RP) and displacing phase saturation (DPS). Within the framework of the proposed model, the task of identifying the regime at the output boundary of the reservoir according to the specified conditions at the input boundary was set. The difference approximation method was used to construct a difference analogue of the problem, implicit with respect to RP and explicit with respect to DPS. As a result, an explicit formula was obtained for determining the approximate RP value at the outlet boundary of the reservoir at a given time layer. Taking into account the calculated RP distribution in the reservoir, the DPS distribution in the time layer was determined using an explicit formula. Based on the proposed computational algorithm, numerical experiments were carried out for the model oil reservoir. |
| format | Article |
| id | doaj-art-948c471114974e9899e56aa112abbd60 |
| institution | Kabale University |
| issn | 2405-7223 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj-art-948c471114974e9899e56aa112abbd602025-01-16T13:35:28ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232024-12-0117410.18721/JPM.1740520714726Identification of the boundary regime in the process of water-oil displacement from the reservoirGamzaev Khanlar0https://orcid.org/0000-0002-1228-7892Azerbaijan State Oil and Industry UniversityThe water-oil displacement process (from a rectangular reservoir) has been considered, that is described by a nonlinear system of partial differential equations with respect to the reservoir pressure (RP) and displacing phase saturation (DPS). Within the framework of the proposed model, the task of identifying the regime at the output boundary of the reservoir according to the specified conditions at the input boundary was set. The difference approximation method was used to construct a difference analogue of the problem, implicit with respect to RP and explicit with respect to DPS. As a result, an explicit formula was obtained for determining the approximate RP value at the outlet boundary of the reservoir at a given time layer. Taking into account the calculated RP distribution in the reservoir, the DPS distribution in the time layer was determined using an explicit formula. Based on the proposed computational algorithm, numerical experiments were carried out for the model oil reservoir.https://physmath.spbstu.ru/article/2024.77.05/flooding methodtwo-phase flowdisplacing phase saturationboundary inverse problemdecomposition |
| spellingShingle | Gamzaev Khanlar Identification of the boundary regime in the process of water-oil displacement from the reservoir St. Petersburg Polytechnical University Journal: Physics and Mathematics flooding method two-phase flow displacing phase saturation boundary inverse problem decomposition |
| title | Identification of the boundary regime in the process of water-oil displacement from the reservoir |
| title_full | Identification of the boundary regime in the process of water-oil displacement from the reservoir |
| title_fullStr | Identification of the boundary regime in the process of water-oil displacement from the reservoir |
| title_full_unstemmed | Identification of the boundary regime in the process of water-oil displacement from the reservoir |
| title_short | Identification of the boundary regime in the process of water-oil displacement from the reservoir |
| title_sort | identification of the boundary regime in the process of water oil displacement from the reservoir |
| topic | flooding method two-phase flow displacing phase saturation boundary inverse problem decomposition |
| url | https://physmath.spbstu.ru/article/2024.77.05/ |
| work_keys_str_mv | AT gamzaevkhanlar identificationoftheboundaryregimeintheprocessofwateroildisplacementfromthereservoir |