Fractional derivative-based tracer analysis method for the characterization of mass transport in fractured geothermal reservoirs

Anna Suzuki, Yuichi Niibori, Sergei A. Fomin, Vladimir A. Chugunov, Toshiyuki Hashida

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The fractional advection-dispersion equation (fADE) has been proposed to describe mass transport in a fractured reservoir. This study develops a finite discrete method to solve the fADE and tests its accuracy against analytical solutions. Tracer simulation uses a three-dimensional simulation of flow analysis (FRACSIM-3D). The solution to the fADE incorporating a spatial fractional derivative shows reasonable agreement with the tracer response from FRACSIM-3D, which shows highly anomalous behaviors such as a long tail. The prediction by the fADE model is reasonably similar to those of FRACSIM-3D irrespective of differing well intervals.

Original languageEnglish
Pages (from-to)125-132
Number of pages8
JournalGeothermics
Volume53
DOIs
Publication statusPublished - 2015 Jan

Keywords

  • Fractal geometry
  • Fractional advection-dispersion
  • Fractured reservoir
  • Geothermal resources
  • Mass transport
  • Reinjection

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Geotechnical Engineering and Engineering Geology
  • Geology

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