注水泥过程中水泥浆最高循环温度动态预测模型

Dynamic Prediction Model of Maximum Circulating Temperature of Cement Slurry during Cementing Operations

  • 摘要: 准确预测注水泥过程中水泥浆的最高循环温度分布,是优化水泥浆性能、防控施工风险及提升固井质量的关键前提。为此,基于流体体积置换与井筒−地层耦合传热机制,建立了多流体依次注入的井筒多区域瞬态传热数学模型;采用全隐式有限差分法求解模型,并结合流体密度−温度矩阵映射关系,构建了领浆与尾浆最高温度的动态计算分析模型。结果表明:在流体热物性与注入参数共同作用下,井筒温度场呈现强烈的非线性演化特征;温度峰值并非固定于井底,而是随流体循环逐渐向上推移。具体而言,领浆与尾浆的最高温度均出现在井筒中下部;当领浆到达井底后,井底温度迅速下降且热交换显著增强;同时,喇叭口处温度在注水泥初期经历明显降幅后,逐步回升并最终趋于热平衡。本研究所构建的模型实现了注水泥动态置换工况下的井筒温度精确预测,为合理设定水泥浆稠化时间、优化浆体配方及科学制定施工参数提供了可靠的理论依据与技术支撑,具有重要的工程应用价值。

     

    Abstract: Accurate prediction of the maximum circulating temperature distribution during cementing operations is a critical prerequisite for optimizing cement slurry performance, mitigating operational risks, and improving well cementing quality. A transient multi-regional wellbore heat transfer model for sequential multi-fluid injection is established based on fluid volume displacement and coupled wellbore–formation heat transfer mechanisms. The governing equations are solved using a fully implicit finite difference method, and a dynamic analytical framework for determining the maximum temperatures of lead and tail slurries is developed by incorporating a density–temperature mapping relationship. The results indicate that, under the combined effects of fluid thermophysical properties and injection parameters, the wellbore temperature field exhibits strongly nonlinear evolution. The temperature peak is not fixed at the bottomhole; instead, it progressively shifts upward during fluid circulation. Specifically, the maximum temperatures of both the lead and tail slurries occur in the middle-to-lower sections of the wellbore. After the lead slurry reaches the bottomhole, the bottomhole temperature decreases rapidly, accompanied by enhanced heat exchange. Meanwhile, the temperature at the wellhead experiences a pronounced decline during the early stage of cementing, followed by a gradual recovery until thermal equilibrium is achieved. The proposed model enables accurate prediction of wellbore temperature under dynamic displacement conditions during cementing. It provides a robust theoretical basis and technical support for rational design of slurry thickening time, optimization of slurry formulations, and scientific determination of operational parameters, demonstrating significant engineering application value.

     

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