## Abstract

An analytical solution in physical variable space is presented for transient gas flows during constant-rate production from a vertically-fractured well in an infinite homogeneous reservoir with finite fracture conductivity. The solution is based on the short-time asymptotic solution and a new approximate transient elliptical flow solution, which covers transient flows from the bilinear flow regime to the pseudo-radial flow regime. The solution covers the well-known asymptotic solutions in both short- and long-time limits of bilinear and pseudo-radial flows. The analytical model provides a practical and reliable engineering tool to evaluate the fractured reservoir properties, which can be programmed using a spreadsheet.

Original language | English (US) |
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Pages (from-to) | 3059-3067 |

Number of pages | 9 |

Journal | Petroleum Science |

Volume | 19 |

Issue number | 6 |

DOIs | |

State | Published - Dec 2022 |

## Keywords

- Analytical solution
- Fractured well
- Transient gas pressure

## ASJC Scopus subject areas

- Fuel Technology
- Geotechnical Engineering and Engineering Geology
- Energy Engineering and Power Technology
- Geophysics
- Geology
- Geochemistry and Petrology
- Economic Geology