Transient pressure analysis of fractured well in bi-zonal gas reservoirs

•The source function of bi-zonal gas reservoir is derived.•The models of partially and fully penetrated well in bi-zonal gas reservoir are established.•By the numerical inversion methods, the type curves of the wells are plotted and analyzed. For hydraulic fractured well, how to evaluate the propert...

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Bibliographic Details
Published inJournal of hydrology (Amsterdam) Vol. 524; pp. 89 - 99
Main Authors Zhao, Yu-Long, Zhang, Lie-Hui, Liu, Yong-hui, Hu, Shu-Yong, Liu, Qi-Guo
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2015
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Summary:•The source function of bi-zonal gas reservoir is derived.•The models of partially and fully penetrated well in bi-zonal gas reservoir are established.•By the numerical inversion methods, the type curves of the wells are plotted and analyzed. For hydraulic fractured well, how to evaluate the properties of fracture and formation are always tough jobs and it is very complex to use the conventional method to do that, especially for partially penetrating fractured well. Although the source function is a very powerful tool to analyze the transient pressure for complex structure well, the corresponding reports on gas reservoir are rare. In this paper, the continuous point source functions in anisotropic reservoirs are derived on the basis of source function theory, Laplace transform method and Duhamel principle. Application of construction method, the continuous point source functions in bi-zonal gas reservoir with closed upper and lower boundaries are obtained. Sequentially, the physical models and transient pressure solutions are developed for fully and partially penetrating fractured vertical wells in this reservoir. Type curves of dimensionless pseudo-pressure and its derivative as function of dimensionless time are plotted as well by numerical inversion algorithm, and the flow periods and sensitive factors are also analyzed. The source functions and solutions of fractured well have both theoretical and practical application in well test interpretation for such gas reservoirs, especial for the well with stimulated reservoir volume around the well in unconventional gas reservoir by massive hydraulic fracturing which always can be described with the composite model.
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ISSN:0022-1694
1879-2707
DOI:10.1016/j.jhydrol.2015.02.006