Abstract Hydraulic fracturing technology developed to enhance the production of oil and gas in underground reservoirs has expanded to other applications. As the exploitation of underground resources moves deeper, traditional hydraulic fracturing models based on linear elasticity may be inadequate to predict the characteristics and geometry of hydraulic fractures at great depth, which are usually under conditions of high temperature and stress. In this study, time-dependent deformations of tight sandstone are verified and a fractional Maxwell model is used to simulate creep behavior. Coupled with a cohesive zone model, the fractional Maxwell model is incorporated into ABAQUS with a user-defined creep subroutine, and hydraulic fracturing in a elastic/viscoelastic formation is modeled to study the influence of the viscoelastic behavior of rocks on hydraulic fracture configurations. The time dependent deformation of reservoir rocks influences the configuration and propagation velocity of hydraulic fractures. The parameter studies are also conducted to investigate the influence of injection rate, fluid viscosity and leakoff coefficient on hydrualic fracture geometries. In future studies, additional benefits may emerge from the strengthening effect of temperature and fracturing fluid on viscoelastic deformation.

中文翻译：

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用分数麦克斯韦模型模拟粘弹性地层中的水力压裂

摘要 为提高地下储层油气产量而开发的水力压裂技术已扩展到其他应用领域。随着地下资源开发的深入，传统的基于线弹性的水力压裂模型可能不足以预测大深度水力压裂的特征和几何形状，这些水力压裂通常处于高温和应力条件下。在这项研究中，验证了致密砂岩的时间相关变形，并使用分数麦克斯韦模型来模拟蠕变行为。结合内聚区模型，分数麦克斯韦模型通过用户定义的蠕变子程序合并到 ABAQUS 中，并对弹性/粘弹性地层中的水力压裂进行建模，以研究岩石的粘弹性行为对水力压裂构造的影响。储层岩石随时间的变形影响水力裂缝的配置和扩展速度。还进行了参数研究，以研究注入速率、流体粘度和泄漏系数对水力裂缝几何形状的影响。在未来的研究中，温度和压裂液对粘弹性变形的强化作用可能会带来额外的好处。流体粘度和水力裂缝几何形状的泄漏系数。在未来的研究中，温度和压裂液对粘弹性变形的强化作用可能会带来额外的好处。流体粘度和水力裂缝几何形状的泄漏系数。在未来的研究中，温度和压裂液对粘弹性变形的强化作用可能会带来额外的好处。