The main objective of this paper is to understand the impact of the fractal characteristics of fractured reservoirs on their pressure behavior, flow rate decline, and productivity index. The paper proposes a new methodology for developing several analytical models for describing the wellbore pressure distribution and the flow rate decline trend. The proposed models consider including the fractal characteristics such as the mass fractal dimension, conductivity index of anomalous diffusion flow mechanism, fractal-network parameters, fractional-derivative order, and matrix/fracture-interaction index as well as dual-porosity media characteristics such as the storativity and interporosity flow coefficient in the analytical models of the pressure, rate, and productivity index. The study has found that: (1) Some of the fractal characteristics have a significant impact on reservoir performance, while others may not have a significant impact. (2) Fractal reservoirs exhibit better performance than the standard geometry reservoirs of single and dual-porosity media.

本文的主要目的是了解裂缝性储层的分形特征对其压力行为，流量下降和生产率指数的影响。本文提出了一种新的方法，用于开发用于描述井眼压力分布和流量下降趋势的几种分析模型。提出的模型考虑了分形特征，例如质量分形维数，反常扩散流机制的电导率指数，分形网络参数，分数-导数阶数，基质/断裂相互作用指数以及双孔介质特征，例如压力，速率和生产率指数分析模型中的孔隙度和孔隙度流动系数。研究发现：（1）一些分形特征对储层性能有重要影响，而另一些则可能没有显着影响。（2）分形储层表现出比单孔和双孔介质的标准几何储层更好的性能。