Abstract: Concerning people's rising requirements for energy, it is important to realize the efficient development of oil and gas reservoir.Facing the complicated seepage problems of low permeability, high water cut, unconventional reservoirs and so on, it is essential to pay more attention to the fundamental solution methods, thus promote innovation of seepage calculation, well test, reservoir simulation techniques and so on, and finally to improve the calculation speed and accuracy for oil and gas reservoir development greatly.Conformal mapping can transform the complex areas(coordinate planes) into simple areas(coordinate planes), thus greatly reduce the complexity of engineering problems.By using the relative theories of conformal mapping and flow field distribution, this paper studies the equipotential lines and flow lines before and after mapping for fractured well, and then two transformation methods are used to calculate the productivity of the fractured well.Finally, the same results are obtained and the effectiveness of the two transformation methods are proved.Actually, study of fractured well can be very good references for production study of horizontal wells with multi-stage fracturing and stimulated reservoir volume.