摘要
对于碳酸盐油藏和低渗油藏的渗流问题 ,传统的研究方法都是假设地层渗透率是常数 ,这样的假设 ,对于地层渗透率是压力敏感的情况 ,对压力的空间变化和瞬时变化将导致较大的误差。本文研究了应力敏感地层中双重介质渗流问题的压力不稳定响应 ,不仅考虑了储层的双重介质特征 ,而且考虑了应力敏感地层中介质的变形 ,建立了应力敏感地层双重介质的数学模型 ,渗透率依赖于孔隙压力变化的流动方程是强非线性的 ,采用Douglas Jones预估 校正法获得了只有裂缝发生形变定产量生产时无限大地层的数值解及定产量生产岩块与裂缝同时发生形变时无限大地层的数值解 ,并探讨了变形参数和双重介质参数变化时压力的变化规律 ,给出几种情况下典型压力曲线图版 。
Fluid flow in hydrocarbon reservoirs and low permeability reservoirs is traditionally studied by assuming that the formation permeability is constant. However, such assumption results significant errors in estimation of temporal and spatial variation of pressure when the formation permeability is stress sensitive. Now, the pressure transient response of double porosity medium permeability in stress sensitive reservoirs is studied in the paper. Not only the double porosity feature of oil reservoirs but also the deformation of medium in stress sensitive reservoirs is considered. The mathematical models of the medium including two kinds of models are suggested, where one is the one with deformation of crack, the other is the one with deformation of crack and rock simultaneously. The dependence of permeability on pore pressure makes the flow equation strongly nonlinear. The numerical solution for a constant rate production of a cylinder source well is obtained by Douglas Jones predictor corrector method for an infinitely large system. In such system, numerical solution is also studied when crack and rock deform simultaneously, and the change rule of pressure is discussed when the double porosity parameter and the parameters of deformation change. Plots of typical pressure curves are achieved in a few cases. The results can be applied on well test analysis.
出处
《应用力学学报》
CAS
CSCD
北大核心
2002年第2期56-60,共5页
Chinese Journal of Applied Mechanics
基金
国家教委高等学校骨干教师资助计算资助
关键词
广义流动分析
变形双重介质
数学模型
非线性
油藏渗流问题
Deformed double porosity media, mathematical modal, nonlinear, numerical solution, and development characteristic.
