| Newton-非Newton幂律流双区复合水平井压力动态特征分析 |
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| 引用本文： | 姬安召.Newton-非Newton幂律流双区复合水平井压力动态特征分析[J].应用数学和力学,2019,40(5):562-573. |
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| 作者姓名： | 姬安召 |
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| 作者单位： | 陇东学院 能源工程学院, 甘肃 庆阳 745100 |
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| 基金项目： | 甘肃省高等学校科研项目（2018A-097） |
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| 摘 要： | 聚合物驱油在提高原油采收率方面具有重要作用，水平井在薄层油田的开发过程中占有重要优势.根据聚合物驱油过程，基于点源函数基本理论，建立了Newton-非Newton双区复合水平井试井解释数学模型.利用Laplace积分变换和Fourier有限余弦积分变换方法，获得了Laplace空间Newton-非Newton双区复合水平井试井解释数学模型的解析解.通过Stehfest数值反演得到了典型无因次井底压力、压力导数特征曲线.研究表明:幂律指数越小，外区压力、压力导数曲线上翘越明显，且压力导数曲线呈斜率为(1-m)/(3-m)的直线；当幂律指数为1时，该模型简化为水平井常规双区复合模型；水平井水平段长度越长，早期径向流阶段结束的时间越早； 内外区流度比越大、 内区半径越小， 外区压力和压力导数曲线位置越高， 且始终保持斜率为(1-m)/(3-m)的直线.
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| 关 键 词： | 聚合物驱 幂率指数 Laplace积分变换 点源函数 水平井 |
| 收稿时间： | 2018-09-25 |
Transient Pressure Analysis of Bi-Zone Composite Horizontal Wells With Non-Newtonian and Newtonian Power-Law Fluid Flow |
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| Affiliation: | School of Energy Engineering, Longdong University, Qingyang, Gansu 745100, P.R.China |
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| Abstract: | Polymer flooding plays an important role in enhancing oil recovery and the horizontal well has great advantages in the development of thin reservoirs. Based on the physical process of polymer flooding, a well-test mathematic model for horizontal wells in Newtonian-non-Newtonian bi-zone composite reservoirs was established with the basic theory for point source functions. The analytical solution of the well-test model for horizontal wells was obtained through the Laplace integral transform and the Fourier finite cosine integral transform. The well-test curves of the pressure and the pressure derivative were got with the Stehfest numerical inversion algorithm. The results show that, the smaller the power law index is, the steeper the curves of the pressure and the pressure derivative will be in the outer zone, like a line with a slope of (1-m)/(3-m).When the power law index is 1, the model can be reduced to the traditional model for horizontal wells in bi-zone reservoirs. The longer the horizontal section of the horizontal well is, the earlier the radial flow stage will end. The larger the flow ratio is and the smaller the inner radius is, the higher the positions of the pressure and the pressure derivative curves will be in the outer zone, where the pressure derivative curve keeps as a line with a slope of (1-m)/(3-m). |
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