分形油藏中水平井的非牛顿幂律流渗流规律

PERCOLATING RULE OF THE NON NEWTONIAN POWER LAW FLUID IN THE HORIZONTAL WELL OF FRACTAL RESERVOIRS

利用平均压力法建立了（双孔）分形油藏中水平井的非牛顿幂律流的数学模型，并求得了其近似解和水平井的产能公式，计算了与分维有关的参数δ、幂律指数ｎ、弹性储量比ω、窜流系数λ对渗流规律的影响，分析表明，其流态可分为５个阶段：开始时的井筒内线性流阶段；早期的径向流阶段；球形流阶段；中期的双孔介质相互作用阶段；晚期的平均双重介质球形流阶段。

A model of non Newtonian power law fluid in the horizontal well of (dual porosity) fractal reservoirs is presented in the paper.In addition,its approximate solution and productivity formula of the horizontal well are obtained.The effects of parameter, power law exponent,elastic reserve ratio and crossflow coefficient on percolating rule are calculated.The analysis shows that the transient behavior can be divided into five flow periods:①Linear flow period in wellbore at first;②+③Radial and ellipsoid flow at early stage;④Interaction period of dual porosity media in the medium stage;⑤Ellipsoid flow period in dual porosity media in the late stage.