基于分形油藏渗流力学,针对存在井筒储集、表皮效应和井筒相重新分布影响下的不稳定渗流问题,建立双重介质分形油藏有效井径数学模型,并采用Douglas-Jones预估校正法求得无限大地层定产量生产条件下的非线性数值解.由数值解可知,该系统完整的压降曲线由四个流动区组成.最后分析各个分形参数、相重新分布参数和双重介质参数变化时压力的变化规律,做出典型压力曲线图版,为研究复杂渗流系统中相重新分布影响下的不稳定渗流规律提供参考.
A fractal theory for double porous media reservoir is introduced. An effective well radius mathematical model is used to calculate pressure of non-steady flow in a complex influent system considering wellbore storage, skin factor and phase redistribution. With Douglas-Jones predictor-corrector method we obtain numerical solution of infinitely large system with constant rate production. Entire drawdown curve of the complex influent system includes 4 periods. Effects of phase redistribution parameters, double porous media parameters and fractal parameters on drawdown are shown in typical pressure curves.