Application of point sink discretization in the productivity evaluation of fractured horizontal well

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  • PetroChina Research Institute of Petroleum Exploration and Development,Beijing 100083,China

Received date: 2015-03-25

  Revised date: 2015-07-13

  Online published: 2016-01-10

Abstract

Based on fracture discretization,applying the potential theory and the superposition principle of infinity formation and the method of matrix transformation,horizontal productivity formulas with a single fracture and multiple fractures were derived out,which considered the fracture conductivity.Productivity equations were solved numerically and the total productivity was obtained by adding the productivity of each fracture.Then the effects of some parameters on the productivity were analyzed.The results show that fractured horizontal well has a high productivity and a sharp drop during initial period,and the productivity tends to be steady.The outer fractures have higher productivities compared with the inner fractures.The productivity is mostly affected by the number of fractures and dimensionless fracture conductivity,and secondly by the fracture length,and least by the angles of horizontal wellbore and fractures.Finally,compared to the previous productivity formulas of fractured horizontal wells,the formula in the paper has a concise form which is easy to be understood,and each item in the formula has a definite physical meaning.The reliability and practicability of the formula in the paper are confirmed in comparison to the well-known source function method.

Cite this article

He Jun,Fan Zi-fei,Zhao Lun,Song Heng,Li Kong-chou,Kong Lu-lin . Application of point sink discretization in the productivity evaluation of fractured horizontal well[J]. Natural Gas Geoscience, 2016 , 27(1) : 134 -141 . DOI: 10.11764/j.issn.1672-1926.2016.01.0134

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