多翼裂缝压裂偏心井半解析模型及其渗流特征

姬安召

doi:10.21656/1000-0887.430395

多翼裂缝压裂偏心井半解析模型及其渗流特征

doi: 10.21656/1000-0887.430395

姬安召

陇东学院，甘肃庆阳 745100

基金项目:

国家自然科学基金项目 42162015

甘肃省科技计划项目 23YFGM001

甘肃省科技计划项目 22JR11RM169

详细信息

作者简介:
姬安召(1983—)，男，副教授(E-mail: jianzhao_831024@163.com)

中图分类号: TE312
计量
- 文章访问数: 190
- HTML全文浏览量: 71
- PDF下载量: 48
- 被引次数: 0
出版历程
- 收稿日期: 2022-12-20
- 修回日期: 2023-03-04
- 刊出日期: 2023-10-31

Semi-Analytical Model and Seepage Characteristics of Multi-Wing Fracture Off-Center Wells

JI Anzhao

Longdong University, Qingyang, Gansu 745100, P.R.China

摘要

摘要: 考虑压裂多翼裂缝偏心井的实际情况，建立了多翼裂缝偏心井的数学模型. 采用Laplace变换和压降叠加原理得到Laplace空间多翼裂缝压裂偏心井井底压力的半解析解. 采用非均匀流量法，对井底压力的半解析解进行离散. 结合Stehfest数值反演获得实空间井底压力的数值解和产量分布. 借助SAPHIR试井分析软件建立了储层的数值试井模型并进行了数值离散计算. 将计算结果与该文的半解析模型计算结果进行了对比，验证了该文模型的正确性. 结果表明，多翼裂缝压裂偏心井井底压力变化可划分为8个主要流动阶段. 最后讨论了裂缝的无因次导流能力、裂缝的不对称因子和井的偏心距对井底压力变化和产量分布特征的影响.
- 水力压裂井 /
- 偏心井 /
- 不对称裂缝 /
- Green函数 /
- 多翼裂缝
Abstract: In view of the actual situation of multi-wing fracture off-center wells, the mathematical model for the wells was established. Based on the Laplace transform and the pressure drop superposition principle, the semi-analytical solution of the bottom hole pressure in the multi-wing fracture off-center well in the Laplace space, was obtained. The semi-analytical solution was discretized with the non-uniform flow method. Combined with Stehfest numerical inversion, the numerical solution of the real space bottom hole pressure and the production distribution were obtained. The numerical well test model for the reservoir was established with the SAPHIR well test analysis software, and the numerical discrete calculation was carried out. The numerical results were compared with the calculation results of the semi-analytical model, which verifies the correctness of the semi-analytical model. The results show that, the bottom hole pressure variation of the multi-wing fracture off-center well can be divided into 8 main flow stages. Finally, the effects of the dimensionless conductivity, the fracture asymmetry factor and the off-center distance on the bottom hole pressure variation and production distribution characteristics, were discussed.
- hydraulic fracturing well /
- off-center well /
- asymmetric fracture /
- Green function /
- multi-wing fracture

HTML全文

图 1 不对称裂缝压裂偏心直井的物理模型

Figure 1. The physical model for the off-center vertical well with asymmetric fracture

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图 2 裂缝单元离散方案

Figure 2. The fracture element discretization scheme

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图 3 压裂偏心井的数值物理模型

Figure 3. The numerical physical model of the fractured off-center well

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图 4 井底压力对比曲线

Figure 4. Wellbore pressure comparison curves

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图 5 无因次裂缝导流能力对无因次井底压力、压力导数曲线的影响

Figure 5. Effects of the dimensionless fracture conductivity on dimensionless bottom hole pressure and pressure derivative curves

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图 6 裂缝无因次导流能力对无因次产量分布的影响

Figure 6. Rate distribution curves influenced by the dimensionless conductivity of the fracture

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图 7 不同偏心距对无因次井底压力与压力导数曲线的影响

Figure 7. Pressure transient curves influenced by the distance between the wellbore and the reservoir center

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图 8 不对称因子对无因次压力与压力导数曲线的影响

Figure 8. Pressure transient curves influenced by the asymmetry factor

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