Modeling of nonstationary filtration in reservoirs with natural fractal fractures

Abstract

The article discusses a problem of naturally fractured reservoir modeling because some reservoirs exhibit the flow processes characterized by anomalous kinetics that do not obey Gaussian statistics. For this reason, the classical approach to the well test interpretation, its generalizations, and their transformation to a more complex model taking into account the fractal structure of fracture networks have been considered. The obtained results indicated the validity of the application of the fractal model to the interpretation of the well-test data where a power-law time dependence of the producing bottom-hole pressure was observed. Moreover, some symptoms were formulated whereby someone could identify the fractal well-stream behavior using the well-test data. Finally, the main issues for further studies the authors refer to the determination of the fractal parameters and the fractal model validation in laboratory experiments.

Keywords

• permeability
• power law
• fractured reservoir
• anomalous diffusion
• fractal dimension