Abstract: Based on a new model which describes the high-velocity non-Darcy fluid flow，well testing models about homogeneous
and double medium were established considering the wellbore storage and skin effect. Then，all the models were solved
by finite difference method. Results show that when considering the high-velocity non-Darcy flow，the pressure curves will
move up and the pressure derivative curves will have a transportation hump and move back，time delay appear in the horizontal
section. Compared with the Forchheimer model，the curves of the new model have smaller upward movement. Kmr and τD
are two significant factors to determine both pressure and pressure derivative curves morphology. The transportation hump
of the pressure curves increases with the decrease of Kmr and increase of τD and the pressure derivative curves have a bigger
upward movement. At last，the difference between the drawdown test and build-up test based on high-velocity Non-Darcy flow
is clarified and a simple interpretation method is given for buildup test.

Key words: model, high-velocity non-Darcy flow, well testing, homogeneous medium, double medium