A New Model for Predicting Liquid Loading in Shale Gas Horizontal Wells

Chao Zhou, Zuqing He, Yashu Chen, Zhifa Wang, A. Mulunjkar, Weishu Zhao
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Abstract

Current critical flow rate models fail to accurately predict the liquid loading statuses of shale gas horizontal wells. Therefore, a new critical flow rate model for the whole wellbore of shale gas horizontal wells is established. The results of the new model are compared to those of current models through the field case analysis. The new model is based on the dynamic analysis and energy analysis of the deformed liquid-droplet, which takes into account the liquid flow rate, the liquid-droplet deformation and the energy loss caused by the change of buildup rate. The major axis of the maximum stable deformed liquid-droplet is determined based on the energy balance relation. Meanwhile, the suitable drag coefficient equation and surface tension equation applied to shale gas horizontal wells are chosen. Finally, the critical flow rate equation is established and the maximum critical flow rate of the whole wellbore is chosen as the criterion for liquid loading prediction. The precision of liquid loading prediction of the new model is compared to those of the four current models, including Belfroid's model, modified Li's model, liquid film model and modified Wang's model. Field parameters of 29 shale gas horizontal wells are used for the comparison, including parameters of 18 unloaded wells, 2 near loaded-up wells and 9 loaded-up wells. Field case analysis shows that the total precision of liquid loading prediction of the new model is 93.1%, which is higher compared to those of the current four models. The new model can accurately predict the liquid loading statuses of loaded-up wells and near loaded-up wells, while the prediction precision for unloaded wells is high enough for the field application, which is 88.9%. The new model can be used to effectively estimate the field liquid loading statuses of shale gas horizontal wells and choose drainage gas recovery technologies, which considers both the complex wellbore structure and the variation of flowback liquid flow rate in shale gas horizontal wells. The results of the new model fill the gap in existing studies and have a guiding significance for liquid loading prediction in shale gas horizontal wells.
页岩气水平井液载预测新模型
现有的临界流量模型不能准确预测页岩气水平井的液载状态。为此,建立了新的页岩气水平井全井筒临界流量模型。通过现场实例分析,将新模型的结果与现有模型的结果进行了比较。该模型在对变形液滴进行动力学分析和能量分析的基础上,考虑了液流量、液滴变形和积聚速率变化引起的能量损失。根据能量平衡关系确定了最大稳定变形液滴的长轴。同时,选择了适合页岩气水平井的阻力系数方程和表面张力方程。最后,建立了临界流量方程,并选择整个井筒的最大临界流量作为预测液载的判据。将新模型的液载预测精度与现有的Belfroid模型、修正Li模型、液膜模型和修正Wang模型进行了比较。对比采用29口页岩气水平井的现场参数,其中18口为未加载井,2口为近加载井,9口为加载井。现场实例分析表明,新模型的液载预测总精度为93.1%,高于现有4种模型。该模型能较准确地预测满载井和近满载井的液载状态,而对未满载井的预测精度达到了88.9%,足以满足现场应用。该模型既考虑了页岩气水平井复杂的井筒结构,又考虑了页岩气水平井返排液流量的变化,可以有效地估计页岩气水平井的现场液载状态,选择排采工艺。新模型的研究结果填补了现有研究的空白,对页岩气水平井储液负荷预测具有指导意义。
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