摘要
基于机械能守恒原理,考虑加速度压力梯度项,以Berthelot第二维里系数完善了泡沫流体的状态方程,结合了合理的假设,通过对理论公式推导和化简,得到了非牛顿流体可压缩流动的关于压力的常微分方程。对该方程采用Runge-Kutta方法进行求解,从而能够获得泡沫流体在井筒流动过程中的各水力参数。此方法物理数学意义明确,计算量小,编程方便,且不存在计算结果收敛性的问题。以泡沫正冲砂为例,此方法计算所得结果与文献计算方法所得结果一致,说明此方法具有较高的精度,能够满足工程需要。
Based on the theory of mechanical energy conservation, a compressible non-Newton fluid flowing ordinary differential equation on pressure is found by deducing and simplifying the academic formulas with considering the pressure gradient of acceleration, consummating the state equation of foam by using Berthelot second virial coefficient, and logical assumptions. It may gain hydraulic parameters of foam flowing in well by using Runge-Kutta method to solve the equations above. This method has advantages of specific sense of physics and mathematics, less calculations, convenient programming, and inexistent problem of calculating convergence. Making the foam direct flushing as an instance, the results by using this method and that by literature are accordant. It shows that this method has a good precision and satisfies the request of engineering.
出处
《燕山大学学报》
CAS
2009年第4期363-367,372,共6页
Journal of Yanshan University
