Abstract
AbstractDarcy model fails to accurately model flow in karst reservoirs because the flow profiles in free-flow regions such as vugs, fractures and caves do not conform to Darcy’s law. Flows in karsts are often modelled using the Brinkman model. Recently, the DMOPD approach was introduced to reduce the complexity of modelling single-phase flow in Karst aquifers. Modelling two-phase flow using the Brinkman’s equation requires either a method of tracking the front or introducing the saturation component in the Brinkman’s equation. Both of these methods introduce further complexity to an already complex problem. We propose an alternative approach called the two-phase Darcy’s Model with optimized permeability distribution (TP-DMOPD) to model pressure and saturation distributions in karst reservoirs. The method is a modification to the DMOPD approach. Under the TP-DMOPD model, the caves are initially divided into zones and the permeability of each zone is estimated. During this stage of the TP-DMOPD model, the fluid inside the reservoir is assumed to be in a single-phase. Once the permeability distribution is obtained, the two-phase Darcy model is used to simulate flow in the reservoir. The example applications tested showed that the TP-DMOPD approach was able to model two-phase flow in karst reservoirs.
Funder
College of Petroleum Engineering & Geosciences
Publisher
Springer Science and Business Media LLC
Subject
General Energy,Geotechnical Engineering and Engineering Geology
Reference49 articles.
1. Akbar M, Vissapragada B, Alghamdi AH, Allen D, Herron M, Carnegie A, Dutta D, Olesen JR, Chourasiya RD, Logan D, Stief D, Netherwood R, Russell SD, Saxena K (2000) A snapshot of carbonate reservoir evaluation. Oilf Rev Winter 2000(20001):20–41
2. Albert G, Virág M, Erőss A (2015) Karst porosity estimations from archive cave surveys: studies in the Buda Thermal Karst system (Hungary). Int J Speleol 44:151–165. https://doi.org/10.5038/1827-806X.44.2.5
3. Arbogast T, Brunson DS (2007) A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Comput Geosci 11:207–218. https://doi.org/10.1007/s10596-007-9043-0
4. Arbogast T, Gomez MSM (2009) A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. Comput Geosci 13:331–348. https://doi.org/10.1007/s10596-008-9121-y
5. Arbogast T, Lehr HL (2006) Homogenization of a Darcy-Stokes system modeling vuggy porous media. Comput Geosci 10:291–302. https://doi.org/10.1007/s10596-006-9024-8
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