Injection and storage of carbon dioxide (CO2) in deep unmineable coalbeds decreases anthropogenic greenhouse gas emissions and presents a financially viable solution by enhancing recovery of coalbed methane (ECBM). Coalbeds are commonly characterized by a dual porosity system, which is comprised of a network of natural fractures (cleats) and matrix blocks of coal exhibiting highly heterogeneous porosity. The gas transport through the cleat system is governed by Darcy's Law. This study reviews and critically evaluates available models for describing coalbed permeability that can be applied to calculate gas flow in such systems. In addition, the potential of using geomechanical models to better account for the physical processes that occur during coalbed methane production and CO2 injection and storage is also investigated. The results of this review can be used for evaluating modeling approaches when employing reservoir simulators to simulate injection and storage in ECBM cases.