•A new rate-transient analysis model is constructed to estimate rate of shale wells.•Both the slip flow and diffusion mechanisms are considered in this method.•The modified pseudo-variables are developed to account for these flow mechanisms.•An explicit procedure for rate-transient data analysis by this model is proposed.•Perfect matches are obtained in both simulated cases and field observations.
International Journal of Heat and Mass Transfer – Elsevier
Published: Sep 1, 2018
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