A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells
A coupled system model of partial differential equations is presented in this paper, which concerns the variation of the pressure and temperature, velocity, and density at different times and depths in high temperature-high pressure (HTHP) gas-liquid two-phase flow wells. A new dimensional splitting...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/171732 |
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| author | Jiuping Xu Min Luo Jiancheng Hu Shize Wang Bin Qi Zhiguo Qiao |
| author_facet | Jiuping Xu Min Luo Jiancheng Hu Shize Wang Bin Qi Zhiguo Qiao |
| author_sort | Jiuping Xu |
| collection | DOAJ |
| description | A coupled system model of partial differential equations is presented in this paper, which concerns the variation of the pressure and temperature, velocity, and density at different times and depths in high temperature-high pressure (HTHP) gas-liquid two-phase flow wells. A new dimensional splitting technique with Eulerian generalized riemann problem (GRP) scheme is applied to solve this set of conservation equations, where Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem. The basic data of “X well” (HTHP well), 7100 m deep, located in Southwest China, is used for the case history calculations. Curve graphs of pressures and temperatures along the depth of the well are plotted at different times. The comparison with the results of Lax Friedrichs (LxF) method shows that the calculating results are more fitting to the values of real measurement and the new method is of high accuracy. |
| format | Article |
| id | doaj-art-64e0081f3b1d4008893014c36df75a14 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-64e0081f3b1d4008893014c36df75a142025-02-03T01:01:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/171732171732A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient WellsJiuping Xu0Min Luo1Jiancheng Hu2Shize Wang3Bin Qi4Zhiguo Qiao5Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaUncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaUncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaResearch School of Engineering Technology, China Petroleum and Chemical Corporation, Deyang 618000, ChinaResearch School of Engineering Technology, China Petroleum and Chemical Corporation, Deyang 618000, ChinaResearch School of Engineering Technology, China Petroleum and Chemical Corporation, Deyang 618000, ChinaA coupled system model of partial differential equations is presented in this paper, which concerns the variation of the pressure and temperature, velocity, and density at different times and depths in high temperature-high pressure (HTHP) gas-liquid two-phase flow wells. A new dimensional splitting technique with Eulerian generalized riemann problem (GRP) scheme is applied to solve this set of conservation equations, where Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem. The basic data of “X well” (HTHP well), 7100 m deep, located in Southwest China, is used for the case history calculations. Curve graphs of pressures and temperatures along the depth of the well are plotted at different times. The comparison with the results of Lax Friedrichs (LxF) method shows that the calculating results are more fitting to the values of real measurement and the new method is of high accuracy.http://dx.doi.org/10.1155/2013/171732 |
| spellingShingle | Jiuping Xu Min Luo Jiancheng Hu Shize Wang Bin Qi Zhiguo Qiao A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells Abstract and Applied Analysis |
| title | A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells |
| title_full | A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells |
| title_fullStr | A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells |
| title_full_unstemmed | A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells |
| title_short | A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells |
| title_sort | direct eulerian grp scheme for the prediction of gas liquid two phase flow in hthp transient wells |
| url | http://dx.doi.org/10.1155/2013/171732 |
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