Abstract Production performance analysis of shale gas development has posed a great challenge for scientific researchers owing to the complex percolation mechanisms and massive hydraulic fracturing. The unique accumulation and transporting mechanisms in multiscaled shale pores, such as adsorption, desorption, diffusion, and slippage, lead to gas seepage behaviors deviating from Darcy flow. Compared to previous studies, this paper presents a comprehensive mathematical model incorporating all the above percolation mechanisms for multistage fractured horizontal wells, in which rectangular stimulated reservoir volume (SRV) is taken into account. A numerical solution for such a complex model is obtained by extending the boundary element method to application. The verification of our method is confirmed by comparison to semi-analytical results of a simplified model. From the well testing type curves, nine flow regimes were identified, most of which are not observed in conventional linear flow models. The effects of sensitive parameters, such as fracture number, size and permeability of the SRV, and formation permeability, on pressure type curves were investigated. The comprehensive model in this paper provides another method to guide the development of shale gas reservoirs, including interpretation of formation properties, guiding fracturing design, and conducting post-fracture evaluation.

中文翻译：

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矩形增产储集层页岩气藏水平井压裂数学模型

摘要 由于复杂的渗流机理和大规模水力压裂，页岩气开发生产动态分析对科研人员提出了巨大的挑战。多尺度页岩孔隙中独特的吸附、解吸、扩散和滑移等聚集和输运机制导致气体渗流行为偏离达西流。与以往的研究相比，本文提出了一个综合数学模型，结合了多级压裂水平井的所有上述渗流机制，其中考虑了矩形增产储层体积 (SRV)。这种复杂模型的数值解是通过将边界元方法扩展到应用中获得的。通过与简化模型的半分析结果进行比较，证实了我们方法的验证。从试井类型曲线中，确定了九种流态，其中大部分在常规线性流模型中没有观察到。研究了SRV的裂缝数量、尺寸和渗透率以及地层渗透率等敏感参数对压力类型曲线的影响。本文的综合模型提供了另一种指导页岩气藏开发的方法，包括地层性质解释、压裂设计指导、压裂后评价等。研究了 SRV 的大小和渗透率，以及地层渗透率，在压力类型曲线上。本文的综合模型提供了另一种指导页岩气藏开发的方法，包括地层性质解释、压裂设计指导、压裂后评价等。研究了 SRV 的大小和渗透率，以及地层渗透率，在压力类型曲线上。本文的综合模型提供了另一种指导页岩气藏开发的方法，包括地层性质解释、压裂设计指导、压裂后评价等。