Modification of Horizontal Well Binomial Deliverability Equation of
Low Permeability Gas Reservoir

doi:10.11885/j.issn.1674-5086.2014.04.04.01

Abstract

Abstract:

The phenomena of start-up pressure gradient and stress sensitivity are quite prevalent in low permeability gas reservoir. However，at present，the effects of the two factors are not yet fully taken into consideration in the binomial expression deliverability equation of the horizontal well. In this paper，based on the filtration theory of the low permeability gas reservoir， start-up pressure gradient and stress sensitivity are introduced into the Forchheimer flow equation，which ultimately arrives at the modified horizontal well deliverability equation after strict deduction. Based on the data of core experiment and certain horizontal well test data of a gas reservoir located in the west of Sichuan，when the startup-gradient of pressure is taken into account，the open flow potential calculated through the modified binomial expression deliverability equation is 9.44% lower than that obtained from conventional binomial expression deliverability equation；when stress sensitivity is taken into account， the open flow potential reduces by 35.08%；when considering both two factors，the open flow potential reduces by 43.41%. The calculation results show that there exist certain differences between the modified equation and conventional methods in calculating the open-flow potential. And we recommend modified equation in the open-flow potential calculation and productivity prediction.

Key words: low permeability gas reservoir, pseudo steady state fluid, stress sensitivity, starting pressure gradient, horizontal
well, binomial deliverability equation

Yang Chengbo1，2, Guo Jianchun1, Yang Jian3, Xu Shoucheng3, Yuan Caixia4. Modification of Horizontal Well Binomial Deliverability Equation of Low Permeability Gas Reservoir[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2014.04.04.01.

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Modification of Horizontal Well Binomial Deliverability Equation of Low Permeability Gas Reservoir

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