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CALCULATION OF HYDRODYNAMIC PARAMETERS FOR VISCOPLASTIC OIL FILTRATION IN THE STATIONARY CASE

机译:平稳情况下粘塑性油过滤的水力参数计算

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The article is devoted to the calculating analysis of established filtering process. The results of calculations are presented in graphical form. Charts are provided with axis labels, and detailed explanations are given.Main hydrodynamic parameters (pressure distribution, filtration rate, pressure gradient, viscosity) of the viscoplastic oil layer in the problem of stationary filtration are calculated. It is assumed that the process of filtering is radially symmetric. The model of finite layer is used. Predetermined pressure is maintained on the boundary of the layer. Oil is considered weakly fluid and its density is determined by formula [4]. At the same time it is assumed that oil viscosity depends on pressure gradient and this dependence is approximated by the sigmoid function [2]. The proposed problem is solved by the method of finite differences using Newton’s method to solve the nonlinear system of equations.The main features of hydrodynamic curves in the proposed type of modelling are distinguished and their differences from the case of constant viscosity are found. So pressure distribution curve of viscoplastic oil lies below the pressure distribution curve of conventional oil, therefore in every point of layer pressure values for viscoplastic oil are smaller than corresponding values for oil with constant viscosity.For the test, calculation basic input parameters are fixed in this paper: extent of the layer, pressure on the boundary of the layer, initial density, viscosity with maximally destroyed structure, viscosity with not destroyed structure, compressibility coefficient, while the following parameters alternately vary: values of shear gradient, smoothness with the approximation of dependence of viscosity on pressure gradient. Assessment of impact of these parameters on pressure distribution, pressure gradient, viscosity, and filtration rate in radius of the layer is conducted. In conclusion the main results of the investigation are summarized.
机译:本文致力于建立的过滤过程的计算分析。计算结果以图形形式显示。图表上带有轴标记,并给出了详细的说明。计算了固定过滤问题中粘塑性油层的主要流体动力学参数(压力分布,过滤速率,压力梯度,粘度)。假定滤波过程是径向对称的。使用有限层模型。预定压力保持在层的边界上。油被认为是弱流体,其密度由公式[4]确定。同时,假设油的粘度取决于压力梯度,并且这种依赖性可以通过S型函数[2]近似。提出的问题通过牛顿法的有限差分法解决了非线性方程组。解决了拟建模型中流体动力学曲线的主要特征,并发现了它们与恒黏性情况的区别。因此,粘塑性油的压力分布曲线低于常规油的压力分布曲线,因此粘塑性油在每个层的压力值都小于恒定粘度油的相应值。为进行测试,计算的基本输入参数固定为本文:层的范围,层边界上的压力,初始密度,具有最大破坏结构的粘度,具有未破坏结构的粘度,可压缩系数,而以下参数交替变化:剪切梯度值,近似平滑度粘度对压力梯度的依赖性。评估这些参数对层半径内的压力分布,压力梯度,粘度和过滤速率的影响。总之,总结了调查的主要结果。

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