Hydraulic fracturing technology is widely used in the development of tight reservoirs. Hydraulic fracture closure highly impacts oil and gas production in tight reservoirs, and a quantitative description of the effective width and fracture conductivity has a guiding significance for fracturing design and productivity prediction. In this paper, based on the mechanical characteristics of proppants in hydraulic fracturing, a fracture width model is first established for sandstone and shale reservoirs, and the effect of the closing pressure on the rock mechanics parameters of proppants is considered. Then, by the changes in fracture width and proppant permeability, a fracture conductivity model is built. Finally, the models are verified with existing experimental data, and are applied to analyze the influence of relevant parameters on the effective width and fracture conductivity of hydraulic fractures. Fracture closure is primarily affected by proppant deformation and embedment. An increase in the proppant elastic modulus can reduce proppant deformation and avoid fracture closure. A fracture containing large proppant more readily closes during the production process, and the closing pressure has a considerable effect on the proppant rock mechanical parameters, which can prevent the fracture from closing to maintain its conductivity. In this study, fracture closure and its conductivity are predicted, which is conducive to the production of tight reservoirs.

水力压裂技术被广泛应用于致密油藏的开发中。水力压裂裂缝的闭合对致密油藏中的油气生产有很大影响，有效宽度和裂缝导流率的定量描述对于压裂设计和产量预测具有指导意义。本文基于支撑剂在水力压裂中的力学特性，首先建立了砂岩和页岩储层的裂缝宽度模型，并考虑了闭合压力对支撑剂岩石力学参数的影响。然后，通过裂缝宽度和支撑剂渗透率的变化，建立裂缝传导率模型。最后，使用现有的实验数据对模型进行验证，并用于分析相关参数对水力裂缝有效宽度和裂缝导流能力的影响。裂缝闭合主要受支撑剂变形和包埋影响。支撑剂弹性模量的增加可以减少支撑剂变形并避免裂缝闭合。含有大量支撑剂的裂缝在生产过程中更容易闭合，闭合压力对支撑剂岩石的力学参数有相当大的影响，这可以防止裂缝闭合以保持其导电性。在这项研究中，裂缝闭合及其电导率被预测，这有利于致密油藏的生产。支撑剂弹性模量的增加可以减少支撑剂变形并避免裂缝闭合。含有大量支撑剂的裂缝在生产过程中更容易闭合，闭合压力对支撑剂岩石的力学参数有相当大的影响，这可以防止裂缝闭合以保持其导电性。在这项研究中，裂缝闭合及其电导率被预测，这有利于致密油藏的生产。支撑剂弹性模量的增加可以减少支撑剂变形并避免裂缝闭合。含有大量支撑剂的裂缝在生产过程中更容易闭合，闭合压力对支撑剂岩石的力学参数有相当大的影响，这可以防止裂缝闭合以保持其导电性。在这项研究中，裂缝闭合及其电导率被预测，这有利于致密油藏的生产。