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考虑支撑剂运移与铺置的水力裂缝扩展数值模拟方法研究

NUMERICAL SIMULATION OF HYDRAULIC FRACTURE PROPAGATION CONSIDERING PROPPANT TRANSPORT AND PLACEMENT

  • 摘要: 为模拟水力压裂过程中裂缝扩展与支撑剂运移规律, 基于位移不连续法建立二维裂缝扩展模型, 并结合悬浮层−床层两层支撑剂运移模型, 构建了考虑支撑剂运移与铺置的水力裂缝扩展数值模拟方法. 模型综合考虑了缝内流动、滤失、支撑剂沉降成床、床层冲刷及射孔流动等过程, 并采用RKL显式积分与顺序耦合方法进行求解. 通过与解析解对比验证了模型在裂缝扩展模拟中的准确性. 同时, 针对模型在支撑剂运移与床层演化预测中的适用性和可靠性进行了验证. 分析了裂缝高度、压裂液黏度、滤失系数、弹性模量和支撑剂浓度对裂缝扩展及支撑剂运移与铺置的影响规律. 研究结果表明, 裂缝高度和滤失系数增大会使裂缝最大宽度及有效延伸长度减小, 并促进支撑剂沉降成床, 压裂液黏度增大可增强携砂能力并抑制床层发育, 弹性模量增大有利于裂缝向远端延伸, 支撑剂浓度变化会影响支撑剂床层形状. 裂缝扩展通过改变裂缝几何形态影响支撑剂的运移与铺置, 支撑剂床层发育又进一步影响裂缝内流动空间及有效支撑范围. 因此, 压裂参数优化应综合考虑裂缝几何特征与支撑剂运移铺置行为.

     

    Abstract: To simulate fracture propagation and proppant transport during hydraulic fracturing, a two-dimensional fracture propagation model was established based on the displacement discontinuity method. By incorporating a two-layer proppant transport model consisting of a suspension layer and a bed layer, a numerical simulation method for hydraulic fracture propagation considering proppant transport and placement was developed. The model comprehensively accounts for intra-fracture flow, fluid leak-off, proppant settling and bed formation, bed erosion, and perforation flow, and is solved using explicit RKL integration combined with a sequential coupling strategy. The accuracy of the model in simulating fracture propagation was verified by comparison with analytical solutions. In addition, the applicability and reliability of the model in predicting proppant transport and bed evolution were validated. The effects of fracture height, fracturing-fluid viscosity, leak-off coefficient, elastic modulus, and proppant concentration on fracture propagation, proppant transport, and proppant placement were analyzed. The results show that increases in fracture height and leak-off coefficient reduce the maximum fracture width and effective propagation length, while promoting proppant settling and bed formation. An increase in fracturing-fluid viscosity enhances proppant-carrying capacity and suppresses bed development. A higher elastic modulus facilitates fracture extension toward the distal region, while variations in proppant concentration affect the morphology of the proppant bed. Fracture propagation influences proppant transport and placement by altering fracture geometry, whereas the development of the proppant bed further affects the flow space within the fracture and the effective propped region. Therefore, the optimization of fracturing parameters should comprehensively consider fracture geometry as well as proppant transport and placement behavior.

     

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