| 周航宇,郭建春,张涛,陈伟华,陈一鑫,曾冀.两流体模拟中固相应力对支撑剂堆积的影响研究[J].计算力学学报,2025,42(5):765~771 |
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| 两流体模拟中固相应力对支撑剂堆积的影响研究 |
| Influence of solid stress on proppant accumulation in two fluid modelling |
| 投稿时间：2024-04-08 修订日期：2024-06-21 |
| DOI：10.7511/jslx20240408001 |
| 中文关键词: 滑溜水压裂 支撑剂堆积 两流体法 径向分布函数 固相摩擦应力 |
| 英文关键词:slickwater fracturing proppant pack two-fluid method radial distribution function solid friction stress |
| 基金项目:国家自然科学基金联合基金(U23B6004)资助项目. |
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| 中文摘要: |
| 缝内支撑剂运动属于狭长空间中的稠密颗粒流问题,两流体法在该类矿场尺度颗粒流的数值模拟研究上极具应用前景,但其现有的固相应力模型尚无法准确描述支撑剂堆积过程。本文通过实验分析了支撑剂堆积在液流冲刷下形态变化的物理过程,指出黏聚力对堆积状态改变的重要影响。在此基础上,结合支撑剂输送数值模拟和支撑剂悬浮液黏度测试结果,分析颗粒径向分布函数对固相运动压力的影响以及固相总压力变化趋势,确定固相摩擦压力随颗粒体积分数的变化速度;基于颗粒物质力学理论和支撑剂堆积直剪试验结果,将支撑剂堆积黏聚力考虑到固相摩擦黏度模型中。研究表明,改进后的固相摩擦应力模型能够捕捉更大的堆积剖面角和沉降剖面角,从而正确模拟支撑剂堆积过程。 |
| 英文摘要: |
| Proppant transport in fractures is essentially a dense granular flow in a slot-shaped space.Applying the two-fluid method in numerical simulations of a field-scale particle flow is promising,but existing solid stress models cannot accurately describe the process of proppant accumulation.In this paper,the morphological change of a proppant pack under flow erosion was analyzed experimentally,and the important influence of cohesion on the change of the pack state was pointed out.Then,combined with the simulated results of a proppant transport and the results of a suspension apparent viscosity test,the influence of the particle radial distribution function on the solid kinetic pressure and the change trend of total solid pressure were analyzed,and the change rate of the solid friction pressure with the particle volume fraction was determined.Based on the granular matter theory and results of a direct shear test,the cohesion of the proppant pack was considered in the frictional viscosity model.The results show that the improved solid friction stress model can capture larger angles of the accumulation and settlement profiles,and correctly simulate the process of proppant accumulation. |
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