Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term
Although various fractal flow models have recently been developed to investigate pressure responses of fractured vertical wells, almost all of the existing fractal models ignore the quadratic gradient term (QGT), which makes them violate mass conservation. In this paper, fractal theory is introduced...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/gfl/3185617 |
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| _version_ | 1846099801849987072 |
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| author | Xuefeng Yang Xin Jiang Cheng Chang Yizhao Chen Xiaojing Ji Yanze Wan Ziqi Qiu Junjie Ren |
| author_facet | Xuefeng Yang Xin Jiang Cheng Chang Yizhao Chen Xiaojing Ji Yanze Wan Ziqi Qiu Junjie Ren |
| author_sort | Xuefeng Yang |
| collection | DOAJ |
| description | Although various fractal flow models have recently been developed to investigate pressure responses of fractured vertical wells, almost all of the existing fractal models ignore the quadratic gradient term (QGT), which makes them violate mass conservation. In this paper, fractal theory is introduced to develop a nonlinear flow model of fractured vertical wells with stimulated reservoir volume (SRV). The QGT is reserved so that the present model fully obeys material balance. Function transforms are used to linearize the nonlinear flow model, and then, Laplace transform and Laplace numerical inversion algorithm are employed to derive the pressure solution. Type curves are provided to analyze the flow characteristic and identify the flow regimes. The effects of some parameters on the pressure responses are discussed in detail. It is found that the existence of the QGT leads to the decrease of the pressure drop, especially at a large nonlinear coefficient and a large time scale. Fractal parameters and SRV radius not only affect type curves but also affect the relative error caused by neglecting the QGT. |
| format | Article |
| id | doaj-art-6ba1601b714c45c9aad5c8d178288d7a |
| institution | Kabale University |
| issn | 1468-8123 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-6ba1601b714c45c9aad5c8d178288d7a2024-12-31T05:00:03ZengWileyGeofluids1468-81232024-01-01202410.1155/gfl/3185617Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient TermXuefeng Yang0Xin Jiang1Cheng Chang2Yizhao Chen3Xiaojing Ji4Yanze Wan5Ziqi Qiu6Junjie Ren7Shale Gas Research InstituteShale Gas Research InstituteShale Gas Research InstituteShale Gas Research InstituteShale Gas Research InstituteShale Gas Research InstituteShale Gas Research InstituteSchool of SciencesAlthough various fractal flow models have recently been developed to investigate pressure responses of fractured vertical wells, almost all of the existing fractal models ignore the quadratic gradient term (QGT), which makes them violate mass conservation. In this paper, fractal theory is introduced to develop a nonlinear flow model of fractured vertical wells with stimulated reservoir volume (SRV). The QGT is reserved so that the present model fully obeys material balance. Function transforms are used to linearize the nonlinear flow model, and then, Laplace transform and Laplace numerical inversion algorithm are employed to derive the pressure solution. Type curves are provided to analyze the flow characteristic and identify the flow regimes. The effects of some parameters on the pressure responses are discussed in detail. It is found that the existence of the QGT leads to the decrease of the pressure drop, especially at a large nonlinear coefficient and a large time scale. Fractal parameters and SRV radius not only affect type curves but also affect the relative error caused by neglecting the QGT.http://dx.doi.org/10.1155/gfl/3185617 |
| spellingShingle | Xuefeng Yang Xin Jiang Cheng Chang Yizhao Chen Xiaojing Ji Yanze Wan Ziqi Qiu Junjie Ren Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term Geofluids |
| title | Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term |
| title_full | Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term |
| title_fullStr | Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term |
| title_full_unstemmed | Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term |
| title_short | Nonlinear Fractal Flow Model of Fractured Vertical Wells With Stimulated Reservoir Volume Considering the Quadratic Gradient Term |
| title_sort | nonlinear fractal flow model of fractured vertical wells with stimulated reservoir volume considering the quadratic gradient term |
| url | http://dx.doi.org/10.1155/gfl/3185617 |
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