赫-巴流体稳定性参数Z的解析解分析  

Analytical solution of the stability parameter Z of the H-B fluid model

作　　者：李孝军[1] 练章华[1] 陈小榆[1] 雍开平[2] 赵建[3] 李敏[1] 

机构地区：[1]西南石油大学"油气藏地质及开发工程"国家重点实验室,四川成都610500 [2]中国石油新疆油田公司石西油田作业区,新疆克拉玛依834000 [3]中国石化西南油气分公司川西采气厂,四川德阳618000

出　　处：《西安石油大学学报（自然科学版）》2010年第1期57-60,共4页Journal of Xi’an Shiyou University（Natural Science Edition）

基　　金：四川省杰出青年基金项目(编号:03ZQ026-044)资助

摘　　要：对于非牛顿流体的流动,用流体的稳定性参数Z作为判别流态的依据,特别是在过渡区,比雷诺数判据更符合实际情况.采用分层雷诺数的概念,求出赫-巴(H-B)流体在流道中最易失稳的位置,并从H-B模式出发,分别推导在圆管流动、同心环空流动、偏心环空流动下其稳定性参数Z的解析解.为验证H-B流体稳定性参数Z的解析解的正确性,将其简化为对应的牛顿、幂律、宾汉模式下的稳定性参数Z的解析解.而且,该模式在判别流体流态时,无需判别流体模式,为计算机编程提供了可用的综合解析式.依据管流,修正同心与偏心环空流动的稳定性参数Z的解析解,可提供接近工程实际流体的流态判据,为现场钻井液的合理使用提供理论依据.For the flow of non-Newtonian fluid,it's more suitable to practice to use the stability parameter Z of fluid for the criterion of the flow patterns of fluid than to use Reynolds number,especially in the transitional range between laminar flow and turbulent flow.The position where the Hershel-Bulkley (H-B) fluid the most easily loss stability in the flow channel is found out using the concept of hierarchical Reynolds number.Based on H-B model,the analytical solutions of the parameter Z of the flow in circular pipe,concentric annulus space and eccentric annulus space are derived respectively.The correctness of the analytical solutions of the stability parameter Z of H-B fluid model in circular pipe flow,concentric annulus space flow and eccentric annulus space flow separately is verified by simplifying the analytical solutions of the stability parameter Z of the H-B fluid model as the analytical solutions of the stability parameter Z of Newton,Power-Law and Bingham fluid model.The modified analytical solution of the stability parameter Z of the H-B fluid model is a comprehensive analytical formula,and it is suitable to Newton,Power-Law and Bingham fluid model.So when using the stability parameter Z of fluid for judging the flow patterns of fluid,there is no need to know the fluid is Newton,Power-Law or Bingham fluid.The study in this paper can provide the practical flow pattern criterion for the reasonable use of drilling liquid on site.

关 键 词：赫巴流体 稳定性参数 管流 环空流 

分 类 号：O357.1[理学—流体力学]