| Maximum Effective Hole Mathematical Modei and Exact Solution for Commingled Reservoir |
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| 引用本文： | 孙贺东,刘磊,周芳德,高承泰. Maximum Effective Hole Mathematical Modei and Exact Solution for Commingled Reservoir[J]. 中国化学工程学报, 2003, 0(5) |
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| 作者姓名： | 孙贺东 刘磊 周芳德 高承泰 |
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| 作者单位： | State Key Laboratory of Multiphase Flow in Power Engineering，Xi'an Jiaotong University Xi'an 710049，China，State Key Laboratory of Multiphase Flow in Power Engineering，Xi'an Jiaotong University Xi'an 710049，China，State Key Laboratory of Multiphase Flow in Power Engineering，Xi'an Jiaotong University Xi'an 710049，China，Department of Petroleum Engineering，Xi'an Petroleum University，Xi'an 710065，China |
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| 基金项目： | National Natural Science Foundation of China(No.50206016)，Special Funds for Major State Basic Research Program of China(973 Program,No.1999022308) |
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| 摘 要： | The maximum effective hole-diameter mathematical modei describing the flow of slightly compressible fluid through a commingled reservoir was solved rigorously with consideration of wellbore storage and different skin factors. The exact solutions for wellbore pressure and the production rate obtained from layer j for a well production at a constant rate from a radial drainage area with infinite and constant pressure and no flow outer boundary condition were expressed in terms of ordinary Bessel functions. These solutions were computed numerically by the Crump's numerical inversion method and the behavior of systems was studied as a function of various reservoir parameters. The modei was compared with the real wellbore radii modei. The new modei is numerically stable when the skin factor is positive and negative, but the real wellbore radii modei is numerically stable only when the skin factor is positive.
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Maximum Effective Hole Mathematical Modei and Exact Solution for Commingled Reservoir |
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| SUN Hedong. Maximum Effective Hole Mathematical Modei and Exact Solution for Commingled Reservoir[J]. Chinese Journal of Chemical Engineering, 2003, 0(5) |
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| Authors: | SUN Hedong |
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| Abstract: | The maximum effective hole-diameter mathematical modei describing the flow of slightly compressible fluid through a commingled reservoir was solved rigorously with consideration of wellbore storage and different skin factors. The exact solutions for wellbore pressure and the production rate obtained from layer j for a well production at a constant rate from a radial drainage area with infinite and constant pressure and no flow outer boundary condition were expressed in terms of ordinary Bessel functions. These solutions were computed numerically by the Crump's numerical inversion method and the behavior of systems was studied as a function of various reservoir parameters. The modei was compared with the real wellbore radii modei. The new modei is numerically stable when the skin factor is positive and negative, but the real wellbore radii modei is numerically stable only when the skin factor is positive. |
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| Keywords: | well-testing mathematical model effective hole diameter layered reservoir |
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