In order to investigate the effects of Vtype channel boundary on the
dynamic pressure response of coalbed methane well, the similar structure method was used to solve the coalbed methane flow model with infinite
outer boundary condition. The image solution of coalbed methane well in the Vtype channel boundary was gained according to the Image Principle,
while the solution of coalbed methane well with the outer boundary of Vtype channel was obtained using the superposition principle. The Stehfest
numerical inversion was adopted to inverse the model solution, and four well test analysis curves were drawn, including loglog, semilog, PPD
and SLPD. The dynamic pressure response patterns of coalbed methane well were analyzed under various outer Vtype channel boundary parameters.
Result indicates that the Vtype response intensity of loglog, PPD and SLPD curves decreases with the increase of Vtype channel included
angle. The boundary response positions shift backward for the four well test analysis curves. The boundary response positions shift backward for
the four well test analysis curves without shape change with the increase of the distance from the vertex of channel included angle. Field
application proves that this model and well test analysis curves could provide a reasonable interpretation for the coalbed methane well with
channel boundary.