Petroleum reservoir simulation using super-element method with local detalization of the solution
In this paper, we propose a two-stage method for petroleum reservoir simulation. The method uses two models with different degrees of detailization to describe the hydrodynamic processes of different space-time scales. At the first stage, the global dynamics of the energy state of the deposit and re...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2017-09-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/petroleum-reservoir-simulation-using-super_332925.html |
| _version_ | 1798017869973291008 |
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| author | A.B. Mazo K.A. Potashev |
| author_facet | A.B. Mazo K.A. Potashev |
| author_sort | A.B. Mazo |
| collection | DOAJ |
| description | In this paper, we propose a two-stage method for petroleum reservoir simulation. The method uses two models with different degrees of detailization to describe the hydrodynamic processes of different space-time scales. At the first stage, the global dynamics of the energy state of the deposit and reserves has been modeled (characteristic scale of such changes is km/year). The two-phase flow equations in the model of global dynamics operate with smooth averaged pressure and saturation fields, and they are solved numerically on a large computational grid of super-elements with a characteristic cell size of 200–500 m. The tensor coefficients of the super-element model have been calculated using special procedures of upscaling of absolute and relative phase permeabilities. At the second stage, a local refinement of the super-element model has been constructed for calculating small-scale processes (with a scale of m / day), which take place, for example, during various geological and technical measures aimed at increasing the oil recovery of a reservoir. Then we solve the two-phase flow problem in the selected area of the measure exposure on a detailed three-dimensional grid, which resolves the geological structure of the reservoir, and with a time step sufficient for describing fast-flowing processes. The initial and boundary conditions of the local problem have been formulated on the basis of the super-element solution. To demonstrate the proposed approach, we have provided an example of the two-stage modeling of the development of a layered reservoir with a local refinement of the model during the isolation of a water-saturated high-permeability interlayer. We have shown a good compliance between the locally refined solution of the super-element model. |
| first_indexed | 2024-04-11T16:14:28Z |
| format | Article |
| id | doaj.art-a64c36a2522f4343ac2c1414e02783d4 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-11T16:14:28Z |
| publishDate | 2017-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-a64c36a2522f4343ac2c1414e02783d42022-12-22T04:14:36ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982017-09-011593327339Petroleum reservoir simulation using super-element method with local detalization of the solutionA.B. Mazo0K.A. Potashev1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaIn this paper, we propose a two-stage method for petroleum reservoir simulation. The method uses two models with different degrees of detailization to describe the hydrodynamic processes of different space-time scales. At the first stage, the global dynamics of the energy state of the deposit and reserves has been modeled (characteristic scale of such changes is km/year). The two-phase flow equations in the model of global dynamics operate with smooth averaged pressure and saturation fields, and they are solved numerically on a large computational grid of super-elements with a characteristic cell size of 200–500 m. The tensor coefficients of the super-element model have been calculated using special procedures of upscaling of absolute and relative phase permeabilities. At the second stage, a local refinement of the super-element model has been constructed for calculating small-scale processes (with a scale of m / day), which take place, for example, during various geological and technical measures aimed at increasing the oil recovery of a reservoir. Then we solve the two-phase flow problem in the selected area of the measure exposure on a detailed three-dimensional grid, which resolves the geological structure of the reservoir, and with a time step sufficient for describing fast-flowing processes. The initial and boundary conditions of the local problem have been formulated on the basis of the super-element solution. To demonstrate the proposed approach, we have provided an example of the two-stage modeling of the development of a layered reservoir with a local refinement of the model during the isolation of a water-saturated high-permeability interlayer. We have shown a good compliance between the locally refined solution of the super-element model.https://kpfu.ru/petroleum-reservoir-simulation-using-super_332925.htmlsuper-element methodnumerical simulationpetroleum reservoirlocal refinementreservoir treatments simulationtwo-phased flowdownscaling |
| spellingShingle | A.B. Mazo K.A. Potashev Petroleum reservoir simulation using super-element method with local detalization of the solution Учёные записки Казанского университета. Серия Физико-математические науки super-element method numerical simulation petroleum reservoir local refinement reservoir treatments simulation two-phased flow downscaling |
| title | Petroleum reservoir simulation using super-element method with local detalization of the solution |
| title_full | Petroleum reservoir simulation using super-element method with local detalization of the solution |
| title_fullStr | Petroleum reservoir simulation using super-element method with local detalization of the solution |
| title_full_unstemmed | Petroleum reservoir simulation using super-element method with local detalization of the solution |
| title_short | Petroleum reservoir simulation using super-element method with local detalization of the solution |
| title_sort | petroleum reservoir simulation using super element method with local detalization of the solution |
| topic | super-element method numerical simulation petroleum reservoir local refinement reservoir treatments simulation two-phased flow downscaling |
| url | https://kpfu.ru/petroleum-reservoir-simulation-using-super_332925.html |
| work_keys_str_mv | AT abmazo petroleumreservoirsimulationusingsuperelementmethodwithlocaldetalizationofthesolution AT kapotashev petroleumreservoirsimulationusingsuperelementmethodwithlocaldetalizationofthesolution |