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A new solution of well test model for multistage fractured horizontal wells

WANG Bencheng;JIA Yonglu;LI Youquan;NIE Renshi;YU Weijie;CAI Mingjin;State Key Laboratory of Oil and Gas Reservoir Geology & Exploitation,Southwest Petroleum University;Research Institute of Geological Science,Sinopec Shengli Oilfield Company;Postdoctoral Research Station,Southwest Petroleum University;Postdoctoral Workstation,PetroChina Tarim Oilfield Company;  
A transient flow model for multistage fractured horizontal wells was established and it takes various cases into account,including infinite conductivity fractures,different inclined angles of fractures,unequal spacing of fractures,fractures vertically unpenetrating beds,etc.Furthermore,an accurate solution to the pressure of this model was obtained by means of modern mathematical methods including the source function theory,three-dimensional eigenvalue method and orthogonal transformation.Finally,taking influences of the wellbore storage and skin factor into consideration,a bottom-hole pressure solution for multistage fractured horizontal wells by means of the Laplace transform and Stehfest numerical inversion was gained.Template curves of the typical well-testing analysis were plotted and the sensibility of various parameters to template curves was analyzed as well.The model can be applied effectively to studying seepage characteristics of multistage fractured horizontal wells and analyzing transient well testing.
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