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在压裂、防砂及冲砂过程中 ,为防止砂粒在井筒底部沉积 ,需研究砂粒在液体中的沉降规律 ,从而确定最低排量等施工参数。根据固液两相流理论 ,推导了砂粒在牛顿流体、幂律流体及宾汉流体中不同沉降雷诺数范围内的沉降规律 ;用不同类型的液体及不同粒径的砂粒对不同情况下沉降规律进行了实验验证。实验及计算表明 :常用的斯托克斯公式仅适应于颗粒沉降雷诺数较小的情况 ;当砂粒较大、液体粘度较小时 ,用斯托克斯公式得出的计算值与实际值相差很大。新推导公式所得的理论计算值与实测值的误差较小 ,得出的砂粒沉降规律较为准确 ,可用于现场流体携砂能力的研究。
In the process of fracturing, sand control and sand flushing, in order to prevent sand from depositing at the bottom of wellbore, sedimentation rules of sand in liquid should be studied to determine the minimum displacement and other construction parameters. According to the theory of solid-liquid two-phase flow, the settlement regularities of sand grains in Newtonian fluid, power law fluid and Binham fluid under different subsidence Reynolds numbers are deduced. The sedimentation rules of sand under different conditions with different types of liquids and different particle sizes Experimental verification. Experiments and calculations show that the commonly used Stokes formula is only suitable for the smaller Reynolds number of particle sedimentation. When the sand is larger and the viscosity of the liquid is smaller, the difference between the calculated value and the actual value Big. The error between the theoretical calculated value and the measured value obtained by the new derivation formula is small, and the settlement law of the sand particles obtained is more accurate and can be used to study the sand carrying capacity of the fluid in the field.