Multiscale methods for modeling fluid flow through naturally fractured carbonate karst reservoirs

P. Popov*, G. Qin, L. Bi, Y. Efendiev, R. Ewing, Z. Kang, J. Li

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

24 Scopus citations

Abstract

Modeling and numerical simulations of Carbonate Karst reservoirs is a challenging problem due to the presence of vugs and caves which are connected via fracture networks at multiple scales. In this paper we propose a unified approach to this problem by using the Stokes-Brinkman equations which combine both Stokes and Darcy flows. These equations are capable of representing porous media (porous rock) as well as free flow regions (fractures, vugs, caves) in a single system of equations. The Stokes-Brinkman equations also generalize the traditional DarcyStokes coupling without sacrificing the modeling rigor. Thus, it allows us to use a single set of equations to represent multiphysics phenomena on multiple scales. The local Stokes-Brinkman equations are used to perform accurate scale-up. We present numerical results for permeable rock matrix populated with elliptical vugs. Both constant and variable background permeability matrices are considered and the effect the vugs have on the overall permeability is evaluated. Fracture networks connecting isolated vugs are also studied. It is shown that the Stokes-Brinkman equations provide a natural way of modeling realistic reservoir conditions, such as partially filled fractures.

Original languageEnglish (US)
Title of host publicationSPE Annual Technical Conference and Exhibition 2007, ATCE 2007
Pages3714-3722
Number of pages9
Volume6
StatePublished - 2007
Externally publishedYes
EventSPE Annual Technical Conference and Exhibition 2007, ATCE 2007 - Anaheim, CA, United States
Duration: Nov 11 2007Nov 14 2007

Other

OtherSPE Annual Technical Conference and Exhibition 2007, ATCE 2007
CountryUnited States
CityAnaheim, CA
Period11/11/0711/14/07

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Geology

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