非牛顿钻井流体流动计算机智能解析方法

钻井液体在环形钻杆空间中的运动,可归结为幂律流体管内流动和螺旋流动。由于幂律流体的本构方程,在运动方程中产生速度梯度的非线性项,求解过程比较复杂。因此应用计算机符号运算、改进的Kantorovich变分法和幂律流体模型相结合,并采用局部线性化的方法,提出了解决运动方程中出现的非线性问题的方法,即计算智能解析方法应用于非线性问题,研究了幂律流体管内非定常流动,研究方法及其结果可以推广到幂律流体螺旋流动情形。

COMPUTER INTELLIGENT ANALYTICAL APPROACH ON NON-NEWTONIAN POWER LAW FLUID OF DRILLING LIQUID

The motion of the drilling liquid in the annular out of the drilling string can be classified as two cases, the power law fluid flow and the spiral flow in pipe. The constructive equation of the power law fluid is not easy to find the solution due to the non-linear terms in the motion equation. So the paper presented the new method to solve the non-linear problems, which applied the computer symbolic operation, the improved Kantoravich differential method and the power law fluid model, and used the method of the local linearization. It is the application of the computer intelligent analytical method for the non-linear problems, and the unsteady flow of the power law in pipe was described in this paper, the approach and result can be extended to the spiral fluid motion of the power law fluid.