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以往动态预测研究在任意方位裂缝井的产能预测、裂缝三维支撑形态的模拟、启动压力的影响、裂缝内相对渗透率曲线的影响、不规则油藏边界的刻画、非水平非等厚油藏模型的精确模型计算以及非恒定裂缝导流能力的影响等方面存在一些不足 ,利用等参有限元方法可加以研究和改进。建立了统一的油藏—裂缝系统渗流模型 ,在空间上用有限元法进行离散 ,在时间上用稳定性好的向后差分格式进行离散。用IMPIS方法和预处理共扼梯度法求解离散后的压力方程和含水饱和度方程。在此基础上 ,用VisualBasicforWindows编程语言进行了数值计算 ,并与“黑油模型”进行了对比验证。实例研究结果表明 ,文中的研究方法可行 ,计算结果稳定可靠 ,可用于指导实际工作。
In the past, the dynamic prediction was used to predict the productivity of fractured wells in arbitrary azimuth, the simulation of three-dimensional fractures supported by fractures, the influence of starting pressure, the relative permeability curve in fractures, the characterization of irregular reservoir boundaries, The accurate model calculation and the influence of the unsteady fracture diversion ability have some shortcomings. It can be studied and improved by using isoparametric finite element method. A unified reservoir-fracture system seepage model is established, which is dispersed spatially by the finite element method and dispersed in a time-dependent backward difference scheme with good stability. Discrete pressure equation and water saturation equation are solved by IMPIS method and preconditioned conjugate gradient method. On this basis, the numerical calculation is made with Visual Basic for Windows programming language, and compared with “Black Oil Model”. The case study shows that the research methods in this paper are feasible, the results are stable and reliable and can be used to guide the practical work.