Abstract: Horizontal well fracturing is a key technolohy for the commercial exploitation of shale oil reservoirs，and the productivity after fracturing has always been the study focus of many scholars. A traditional shale oil productivity model ignores the influence of bedding fractures formed during fracturing on productivity. In response to this problem，the related theory of embedded discrete fracture model is introduced to establish a three-dimensional horizontal well productivity model for shale oil reservoirs with bedding fractures considered. The model is discretized based on finite-difference，and the pressure distribution and typical productivity curves in reservoir matrix and fractures are obtained by MATLAB programming. The influence of permeability and fracture density on shale oil productivity is analyzed. Studies show that productivity increases with the increase in the permeabilities of bedding fractures，and with the increase in the density of bedding fractures. When the permeability of bedding fractures is relatively high and developed，great error will be resulted in if no bedding fractures are included in the productivity model. The model in this paper is of important practical significance for accurately predicting the productivity of shale oil reservoirs after fracturing. 

Key words: shale oil, bedding fracture, embedded discrete fracture model, horizontal well; productivity

摘要： 水平井压裂是页岩油藏商业化开采的关键技术，压裂后的产能一直是学者们研究的焦点。传统的页岩油产能模型忽略了压裂过程中形成的层理缝对产能的影响。针对这一问题，引入了嵌入式离散裂缝模型相关理论，建立了考虑层理缝的三维页岩油藏压裂水平井产能模型。基于有限差分对模型进行离散化处理，采用MATLAB编程求解得到了储层基质及裂缝中的压力分布和典型的产能曲线。分析了层理缝渗透率及密度对页岩油产能的影响。研究表明，随着层理缝渗透率增加，产能越高；层理缝密度越大，产能越高。当层理缝渗透率较高且较为发育时，产能模型中如果未包含层理缝会造成较大的误差，本模型对于页岩油藏压后产能的准确预测具有重要的现实意义。

关键词: 页岩油, 层理缝, 嵌入式离散裂缝模型, 水平井, 产能