裂缝性底水气藏分形几何见水模型  

A mathematical model for water breakthrough in fractured bottom-water gas reservoir based on fractal geometry

作　　者：黄小荷[1] 朱维耀[1] 娄钰[1] 岳明[1] 

机构地区：[1]北京科技大学土木与环境工程学院,北京100083

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第5期597-601,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(11372033);国家重点基础研究发展计划资助项目(2013CB228002);国家科技重大专项课题资助项目(2011ZX05010;2011ZX05051)

摘　　要：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.Due to complexity of fracture distribution, the effect of fracture network on development of bottom water gas reservoir cannot be fully understood by means of dual porosity model alone. This paper introduced using fractal geometry to describe fracture network, and established a mathematical model for water breakthrough in fractured bottom-water gas reservoir, assuming that flow is planar radial flow in the upper part of perforation section, and hemispherical radial flow in the lower part. Using this model, water breakthrough time and the section forms of water coning at different time can be determined. The model simulated the effect of fracture development characteristics on bottom water gas reservoir. Numerical results show that the more complex the fracture geometry, the later the water breakthrough. In addition, with larger tortuosity, or thicker gas reservoir, or smaller production rate, water breakthrough will also be delayed.

关 键 词：裂缝 底水 气藏 水锥 分形 见水模型 产能 见水时间 

分 类 号：TE329[石油与天然气工程—油气田开发工程]