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Stable Productivity Formula for Horizontal Well with Improvement

YUAN Ying-zhong,ZHANG Lie-hui,WANG Jian(State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu,Sichuan 610500,China)  
Horizontal well productivity equations of Borisov's,Joshi's,Giger's and Renard-Dupuy's formulae are analyzed comprehensively,and then their differences and similarities are compared.Actually,there are some problems to be improved in Joshi's formula.3-D analytical productivity equation of horizontal well in infinite-acting reservoir with sealed boundary is derived.For the problem of Joshi's formula without π in the denominator of vertical seepage resistance term and the treatment of eccentricity as well as the differences between 2-D and 3-D seepage flow field,the corresponding improvement method is proposed.The study indicates that the error caused by the simplification of seepage flow field is not obvious.However,the problem of Joshi's formula without π and the treatment of eccentricity should be improved.
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