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中文摘要：
低渗透裂缝性油藏，裂缝分布复杂、储层物性差、渗透率低、流动过程符合低速非达西渗流特征，需要采用水平井结合水力压裂技术进行开发。基干压裂水平井三线性流模型，结合沃伦-鲁特模型，建立考虑启动压力梯度的压裂水平井不稳定渗流数学模型，得到其在Laplace空间的解析解。运用Stehfest数值反演算法得到实空间的数值解；并绘制无因次产量随时间变化的双对数特征曲线图，进一步对诸多影响因素进行分析。结果表明：启动压力梯度越大，流动阻力越大，压裂井后期产量越低。人工主裂缝导流能力主要影响初期产量；内区储容比越大，中期产量递减越平缓，窜流系数越大，压裂井中期产量越大，下降越平缓。外区储容比越大，后期产量下降越平缓，窜流系数越大，后期产量越大，下降越平缓，外区边界反映出现时间越早；综合考虑增产效果和经济效益，人工压裂主裂缝条数存在最优值范围。
英文摘要：
In view of the low permeability, poor reservoir properties,complex fracture distribution and low-flow process in line with non-Darcy flow characteristics of low permeability fractured reservoir, fractured horizontal well becomes the essential to achieve satisfactory production. The transient flow mathematical model for fractured hrizontal well consideration of threshold pressure gradient is established by introducing the tri-linear flow model and the Warant-Root model, then deduced from its analytical solution in Laplace space. Based on the Stehfest numerical inversion algorithms, the numerical solution in real space is obtained ; finally discussing the influence factors of the dimensionless productivity of the fractured horizontal wells. The study result showed that the bigger the threshold pressure gradient, the bigger the flow resistance, and then the lower the post-production of the fractured wells;the fractured conductivity mainly influence the initial production; the storage capacity ratio and the cross-flow coefficient of the inner zone mainly influence the medium-term production and the post production is influenced by the outer zone; considering the production and economic benefits, the artificial fractures＇ number has the optimal ranze.
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