Hydrocarbon-bearing reservoirs are usually divided into multiple compartments with distinct properties by linear leaky faults. This kind of heterogeneous reservoir is usually called linear composite reservoir. Hydraulic fracturing is an important technology to significantly improve oil/gas production, and has been widely applied to the development of various oil/gas reservoirs. However, the literature on analytical/semi-analytical models for multi-wing fractured vertical (MWFV) wells in linear composite reservoirs is rare. In this work, we first derive the Laplace-space point source solution for linear composite reservoirs separated by a partially communicating fault, and then propose a semi-analytical model of MWFV wells in linear composite reservoirs based on superposition principle and fracture discrete scheme. The proposed model is validated by comparing with the published simplified models and the commercial numerical simulator. Type curves of MWFV wells in linear composite reservoirs are obtained and the flow regimes are identified. The effect of key parameters on transient pressure responses is discussed in detail. The proposed model can be employed to efficiently deal with multiple fracture wings emanated from the wellbore in linear composite reservoirs. This paper will be helpful to further develop analytical/semi-analytical models for other complex well types in linear composite reservoirs with a fault.

含烃储层通常被线性泄漏断层划分为多个具有不同性质的隔层。这种非均质油藏通常称为线性复合油藏。水力压裂是显着提高油气产量的重要技术，已广泛应用于各种油气藏的开发。但是，关于线性复合储层中多翼裂缝垂直井（MWFV）的分析/半分析模型的文献很少。在这项工作中，我们首先导出由部分连通断层隔开的线性复合储层的拉普拉斯空间点源解，然后基于叠加原理和裂缝离散方案，提出线性复合储层中MWFV井的半解析模型。通过与已发布的简化模型和商业数值模拟器进行比较，对所提出的模型进行了验证。获得了线性复合储层中MWFV井的类型曲线，并确定了流态。详细讨论了关键参数对瞬态压力响应的影响。所提出的模型可以用来有效地处理线性复合储层中从井眼发出的多个破裂翼。本文将为进一步开发具有断层的线性复合储层中其他复杂井类型的分析/半分析模型提供帮助。详细讨论了关键参数对瞬态压力响应的影响。所提出的模型可以用来有效地处理线性复合储层中从井眼发出的多个破裂翼。本文将为进一步开发具有断层的线性复合储层中其他复杂井类型的分析/半分析模型提供帮助。详细讨论了关键参数对瞬态压力响应的影响。所提出的模型可以用来有效地处理线性复合储层中从井眼发出的多个破裂翼。本文将为进一步开发具有断层的线性复合储层中其他复杂井类型的分析/半分析模型提供帮助。