| 董长银*,王爱萍,武龙,刘春苗.水平井及大斜度井砾石充填α波砂床平衡高度随机概率模型及实验研究[J].实验力学,2010,25(2):199~206 |
| 水平井及大斜度井砾石充填α波砂床平衡高度随机概率模型及实验研究 |
| An Integrated Probability Model for α Wave Bed Height in Horizontal and Highly Deviated Wells and its Experimental Simulation Verification |
| 修订日期：2009-12-22 |
| DOI： |
| 中文关键词: 水平井 大斜度井 砾石充填 α波 砂床平衡高度 概率 计算模型 实验模拟 |
| 英文关键词:horizontal well highly deviated well gravel-packing α wave sand bed height probability calculation model experimental simulation |
| 基金项目:国家高技术研究发展计划(863)计划项目"大斜度井砾石充填工艺模拟技术研究"(2006AA09Z351)和国家自然科学基金项目"复杂条件下大斜度井砾石充填机理研究"（50704035）部分研究内容 |
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| 中文摘要: |
| α波砂床平衡高度预测是水平井砾石充填过程数值模拟及施工参数优化设计的核心问题之一。根据水流紊动理论，将砂床表面流体瞬时流速视为正态分布的随机变量，将颗粒运动状态转换视为随机事件，分析状态转换事件概率及最终状态概率的数字特征。根据最终状态概率代表颗粒运动趋势的原理，砂床高度的变化是床层表面颗粒运动状态转换的结果。由平衡砂床高度和摩阻流速及平均流速的关系，建立了同时适用于水平井和大斜度井砾石充填的α波砂床平衡高度预测的随机概率模型。利用研制的大斜度井砾石充填全尺寸实验模拟装置，进行井筒倾角、筛管偏置度、流量、砂浓度对α波砂床平衡高度影响的实验研究，对随机概率模型的计算结果进行了对比验证。随机概率模型与实验结果比较吻合，平均误差10.5%，进行必要的修正可以用于大斜度井砾石充填α波砂床平衡高度预测。 |
| 英文摘要: |
| α wave bed height prediction is the focus of horizontal well gravel-packing simulation and design optimization. According to the turbulent flow theory, the instantaneous flow velocity above the sand bed surface is regarded as a random variable that is subject to normal school, and the transformation of the grain movement behavior as a random event, the probability of which is then analyzed. The probability of grain's final movement status indicates its movement tendency, so the change of the sand bed height can be ascribed to the transformation of grain movement status. Given the relationship of equilibrium sand bed height between friction resistance flow velocity and average flow velocity, a new probability model to predict the α wave equilibrium sand bed height for horizontal and highly deviated well gravel packing was built up. An integral experimental system for inside-casing gravel-packing simulation was used to analyze the effects of wellbore angle, screen bending degree, flow rate and sand concentration on α wave bed height and to verify the probability models. Results indicate that the probability model is accordant to the experimental data with average error of 10.5% and can be used to predict α wave bed height by necessary rectification. |
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