Following the Cinco-Ley fracture model (Cinco-Ley et al. 1978) and the Luo-Tang wing model (Luo and Tang 2015a), we developed a new fracture-unit model. By coupling the Fredholm integral equation for a fracture with a reservoir equation, we present a new semianalytical method in the Laplace domain, and an example of a Z-fold fracture is then presented to demonstrate the applicability of the fracture-unit model. The effects of fracture conductivity, fracture geometry, and branch length on the transient wellbore pressure are discussed in detail. Our work provides a novel forward model to implement the law of fluid flow in complex fractures.
Bibliographical noteThis work was supported by the National Natural Science Foundation of China (Grant No.51674227) and the Fundamental Research Funds for the Central Universities.
- Pulley effect
- Slide-ring gel
- PRESSURE-TRANSIENT ANALYSIS