An asymptotic solution for fluid production from an elliptical hydraulic fracture at early-times

Yan Jin, Kangping Chen, Mian Chen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The early-time transient flow during the start-up of fluid production from a porous medium by a well intersected by a vertical elliptical hydraulic fracture is studied using an asymptotic analysis. The analysis is focused on the situation of practical interest where the fracture conductivity is high so that production from the fracture dominates. The first three terms in a short-time asymptotic expansion for the production rate during constant-pressure production, and for the well-pressure during constant-rate production, are obtained. It is shown that the fracture tip starts to influence the production rate only when the dimensionless time is increased to the square of the reciprocal of the dimensionless fracture conductivity. The asymptotic results also show that geometric factors of an elliptical fracture introduce non-negligible corrections to the so-called bilinear flow in the early times, which were previously erroneously associated with the effect of the fracture tip.

Original languageEnglish (US)
Pages (from-to)48-53
Number of pages6
JournalMechanics Research Communications
StatePublished - Jan 2015


  • Asymptotic solution
  • Hydraulic fractured wells
  • Transient pressure

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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