Model and Method of Well Test Analysis for Wells With Vertical Fracture
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摘要: 根据压裂井的流动机制，综合考虑井筒储存、裂缝壁面污染和各种边界条件，通过组合线性流模型与有效井径模型，建立了垂直裂缝井试井分析的新模型，提出了确定垂直裂缝井有效井径的方法，给出了有效井径随裂缝长度、裂缝导流能力和裂缝表皮系数的变化关系．该模型形式简明，曲线完整，计算速度快，可满足实时计算和快速响应的试井解释要求．以实测的压力或产量为拟合目标函数，建立了识别地层和水力裂缝参数的最优化模型，提出了综合应用逐步线性最小二乘法和约束变尺度法的垂直裂缝井试井分析自动拟合方法，并通过算例说明了该方法的准确性和可靠性．应用情况表明，该技术可科学合理地分析评估压裂施工质量，指导并改进压裂设计，提高压裂设计水平和施工效果．Abstract: Based on the flow mechanism of hydraulic fractured wells, through integrating linear-flow model and effective well-radius model, a new model of well test analysis for wells with vertical fracture was established. In the model, wellbore storage, the damage in the wall of fracture and all kinds of boundary conditions are considered. The model is concise in form, has intact curves and computes fast, which may meet the demand of real-time computation and fast responded well test interpretation. A new method to determine effective well radius was presented, and the correlation between e-f fective well radius and the fracture length, fracture conductivity, skin factor of fracture was given. Matching flow rate or pressure tested, the optimization model that identified formation and fracture parameters was set up. The automatic matching method was presented by synthetically using step by step linear least square method and sequential quadratic programming. At last, the application was also discussed. Application shows that all of these results can analyze and evaluate the fracturing treatment quality scientifically and rationally, instruct and modify the design of fracturing and improve fracturing design level.
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Key words:
- vertical fracture /
- well test /
- fluid flow through porous medium /
- model /
- automatic matching method
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