Hydraulic fracturing technology is a key technology for the development of unconventional oil and gas reservoirs, and the conductivity of hydraulic fractures has a great impact on their production. The paper introduces the "fracturing efficiency index" as means of characterising the dynamic relationship between hydraulic fracture expansion and proppant filling. It also suggests a way to figure out the proppant fracture inflow capacity. This approach addresses issues such as uneven fracturing fluid dosage, a wide range of injection discharges, and inconsistent sand spreading concentration encountered during fracturing operations. Based on this model, the influencing factors of the flow-conducting capacity such as proppant particle size, sand spreading concentration, liquid injection displacement, and proppant crushing rate, were analyzed, and the calculated results of this model are closer to the experimental results of the API flow-conducting capacity test compared with the calculated results of the reference model. Finally, this model was used to optimize the fluid volume, sand volume, and displacement of hydraulic fracturing in the Jiping 1H shale gas field. The research results show that: (1) the fracturing efficiency index is negatively correlated with the conductivity of hydraulic fractures, whereas is positively correlated with the enhancement of conductivity; (2) our model is applicable to the calculation of supported fracture inflow capacity for high sand concentration, large particle size, intermediate fracture flow and low crushing rate, and the results are close to more than 98.58%, 98.29%, 95.68% and 95.08% of the experimental results, respectively; (3) On-site hydraulic fracturing does not result in higher production capacity with more fracturing fluid dosage, higher displacement and more sand addition; there are optimal fluid, optimal displacement and optimal sand intervals, which are optimized to increase production by 26.92%. It can be seen that the hydraulic fracture conductivity model can optimize various parameters of on-site fracturing construction.

中文翻译：

---

基于压裂效率指数的支撑水力裂缝导流理论模型的建立及应用

水力压裂技术是非常规油气藏开发的关键技术，水力裂缝的导流能力对其产量影响很大。本文引入“压裂效率指数”作为表征水力裂缝扩展与支撑剂充填之间动态关系的手段。它还提出了一种计算支撑剂裂缝流入能力的方法。该方法解决了压裂施工过程中遇到的压裂液用量不均匀、注排量范围大、撒砂浓度不一致等问题。基于该模型，分析了支撑剂粒径、铺砂浓度、注液排量、支撑剂破碎率等导流能力的影响因素，该模型的计算结果与实验结果较为接近。 API导流能力测试与参考模型计算结果对比。最后利用该模型对鸡坪1H页岩气田水力压裂液量、砂量和排量进行了优化。研究结果表明：（1）压裂效率指数与水力裂缝导流能力呈负相关，与导流能力增强程度呈正相关； (2)模型适用于高砂浓度、大粒径、中等裂缝流、低破碎率的支撑裂缝流入能力计算，结果接近于98.58%、98.29%、95.68%和95.08以上分别占实验结果的%； （3）现场水力压裂，压裂液用量较多、排量较高、加砂较多，产能并不能提高；有最佳流体、最佳排量、最佳出砂层段，优化后增产26.92%。可见，水力裂缝导流能力模型可以优化现场压裂施工的各项参数。