Abstract：A new coalbed methane transient seepage flow model with multi-wells is developed by considering the wellbore storage and skin effect. The problem is solved for the different outer boundaries，such as the circular，the rectangular and the arbitrary quadrilateral boundaries，coalbed boundaries with varied sinks and sources in the calculation region. The pressure distributions are obtained at different times in the model regions. From the pressure propagation process，it shows that the shape and properties of boundaries do not affect the pressure propagation in the early stage；and the sinks and sources strongly affect the pressure propagation before the pressure wave meets any kind of boundaries. The results also show that there is no pressure contour line between two sinks，which means that there is a streamline as a closed boundary does. For two sources，there must be a pressure contour line between them，which means that there is a streamline as a constant pressure boundary does. All these results supply fundamental theories to the reasonable development of coalbed reservoir.
