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针对体积压裂储层不同条件下的裂缝网络系统，建立典型渗流单元的非稳态渗流数学模型，引入压力函数，利用拟线性化求解方法，通过求解特征值问题，得到其数学分析解，用于描述一维、二维、三维裂缝网络系统典型渗流单元中压力分布及变化规律，并进一步得到油井产能方程。结合油藏实例，绘制体积压裂油井产能预测图版，定义裂缝密度为表征储层压裂程度的定量化技术指标，可根据已知裂缝密度，应用图版对油井产能进行预测。油井产能曲线分析结果表明：当典型渗流单元特征尺寸取相同值时，三维缝网油井产量初值最高、下降速度最快，一维缝网油井产量初值最低、下降速度最慢；当裂缝密度取相同值时，对于一维、二维、三维缝网，油井产量初值差异很小，一维缝网油井产量下降速度最快，三维缝网油井产量下降速度最慢。研究成果可为油井产能预测、合理工作制度确定以及体积压裂缝网参数反演提供理论依据和计算方法。
Abstract：A mathematical model of unsteady seepage in typical seepage units was established for variant fracture networks under different conditions of volume fracturing reservoir. The pressure function was introduced. Mathematical analytical solution was obtained by using quasi-linearization method and solving eigenvalue problem. This solution can be used to describe the pressure distribution and variation in typical flow units of 1D, 2D, and 3D fracture network systems, thereby deriving the productivity equation for oil wells. Oil well production prediction charts were drawn based on reservoir example, and fracture density was defined as a quantitative description for fracturing degree in oil reservoir. The results show that there is a highest initial value and a fastest descent rate for oil well production in 3D fracture networks, and a lowest initial value and a slowest descent rate for oil well production in 1D fracture networks at a same characteristic size of typical seepage flow unit. Moreover, a same initial value for oil well production, a fastest descent rate in 1D fracture networks and a slowest descent rate in 3D fracture networks at a same fracture density are also observed. Theoretical basis and a numerical method can be provided for productivity prediction, reasonable work system and parameter inversion of volumetric pressure fracture network by this research.
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基本信息:
DOI：
中图分类号:TE328;TE357.1
引用信息:
[1]赵志成.体积压裂储层缝网表征及油井产能分析方法研究[J].中国科技论文,2025,20(08):644-650.
基金信息:
国家科技重大专项(2016ZX05046004)