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Application and analysis on steady productivity equation of gas well in compound formation

LIU Fang-yu1,2,JIANG Kai-jun2,MA Hua-li2,ZHANG Yan2 (1.Resources Institute of China University of Geosciences,Beijing 100083,China;2.Oil Testing and Perforation Company of Daqing Oilfield Company Ltd.,Daqing 163412,China)  
Being derived from steady filtration theory of homogenous porous media,steady productivity binomial equation of gas well cannot be applied directly in heterogeneous porous media.Thus it is necessary to analyze applicability steady productivity binomial equation of gas well in heterogeneous porous media.Based on superposition principle,steady productivity binomial equation of gas well in compound formation is developed.Two steady productivity binomial equations and open flow rate calculations are obtained.Analysis on equations and cases show that open flow rate of inner-annular zone is always higher than that of outer zone,even though permeability in outer zone becomes higher than that in inner zone.If permeability in outer zone is much higher than inner zone,the outer open flow rate can be close to inner one.On the other hand,if permeability in outer gets lower,the outer open flow rate decrease with the producing period increasing.Therefore,steady productivity binomial equation can be applied in gas well productivity evaluation in compound formation,in which permeability in outer zone is much higher than inner one.
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