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针对裂缝分布复杂,仅依靠双重介质模型不能研究裂缝对底水气藏开发影响的问题,引入分形几何来描述裂缝网络,建立了考虑裂缝的底水气藏见水模型.基于底水气藏的两种渗流模式的假设,射孔段为平面径向流,射孔段以下为半球面流,建立了分形裂缝底水气藏见水模型.该模型能确定底水突破时间和不同时刻水锥形态,并能定量分析裂缝发育特征对底水气藏开发的影响.实例分析表明:裂缝越扭曲复杂,迂曲度分维数越大,底水突破时间越大;气层厚度越大,底水突破时间越大;气井产量越大,底水突破越快.
In view of the complex distribution of fractures, we can not study the influence of fractures on the development of bottom-water reservoirs based solely on the dual-medium model, and introduce the fractal geometry to describe the fracture network, and establish the seepage model of bottom-water reservoirs considering fractures. The hypothesis of two seepage modes is that the perforation section is a plane radial flow and the hemispherical surface flow below the perforation section establishes a water seepage model of the fractured bottom water gas reservoir.The model can determine the bottom water breakthrough time and the water cone at different time Morphology and quantitative analysis of the impact of fracture development on the development of bottom-water gas reservoirs.Example analysis shows that the more the fracture is distorted, the larger the fractal dimension of tortuosity is, the larger the breakthrough time of bottom water is. The greater the breakthrough time; the greater the gas well production, the faster the bottom water breakthrough.