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Title: A separate phase drag model and a surrogate approximation for simulation of the steam assisted gravity drainage (SAGD) process

Abstract

General ensemble phase averaged equations for multiphase flows have been specialized for the simulation of the steam assisted gravity drainage (SAGD) process. In the average momentum equation, fluid-solid and fluid-fluid viscous interactions are represented by separate force terms. This equation has a form similar to that of Darcy’s law for multiphase flow but augmented by the fluid-fluid viscous forces. Models for these fluid-fluid interactions are suggested and implemented into the numerical code CartaBlanca. Numerical results indicate that the model captures the main features of the multiphase flow in the SAGD process, but the detailed features, such as plumes are missed. We find that viscous coupling among the fluid phases is important. Advection time scales for the different fluids differ by several orders of magnitude because of vast viscosity differences. Numerically resolving all of these time scales is time consuming. To address this problem, we introduce a steam surrogate approximation to increase the steam advection time scale, while keeping the mass and energy fluxes well approximated. This approximation leads to about a 40-fold speed-up in execution speed of the numerical calculations at the cost of a few percent error in the relevant quantities.

Authors:
 [1];  [1];  [2];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Fluid Dynamics and Solid Mechanics Group
  2. BP America, Houston, TX (United States). Heavy Oil Flagship
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1221768
Report Number(s):
LA-UR-14-28283
Journal ID: ISSN 1086-055X
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
SPE Journal
Additional Journal Information:
Journal Volume: 40; Journal Issue: 35; Journal ID: ISSN 1086-055X
Publisher:
Society of Petroleum Engineers (SPE)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 02 PETROLEUM; multiphase flows, porous media, Steam Assisted Gravity Drainage

Citation Formats

Padrino-Inciarte, Juan Carlos, Ma, Xia, VanderHeyden, W. Brian, and Zhang, Duan Zhong. A separate phase drag model and a surrogate approximation for simulation of the steam assisted gravity drainage (SAGD) process. United States: N. p., 2016. Web. doi:10.2118/178432-PA.
Padrino-Inciarte, Juan Carlos, Ma, Xia, VanderHeyden, W. Brian, & Zhang, Duan Zhong. A separate phase drag model and a surrogate approximation for simulation of the steam assisted gravity drainage (SAGD) process. United States. https://doi.org/10.2118/178432-PA
Padrino-Inciarte, Juan Carlos, Ma, Xia, VanderHeyden, W. Brian, and Zhang, Duan Zhong. Fri . "A separate phase drag model and a surrogate approximation for simulation of the steam assisted gravity drainage (SAGD) process". United States. https://doi.org/10.2118/178432-PA. https://www.osti.gov/servlets/purl/1221768.
@article{osti_1221768,
title = {A separate phase drag model and a surrogate approximation for simulation of the steam assisted gravity drainage (SAGD) process},
author = {Padrino-Inciarte, Juan Carlos and Ma, Xia and VanderHeyden, W. Brian and Zhang, Duan Zhong},
abstractNote = {General ensemble phase averaged equations for multiphase flows have been specialized for the simulation of the steam assisted gravity drainage (SAGD) process. In the average momentum equation, fluid-solid and fluid-fluid viscous interactions are represented by separate force terms. This equation has a form similar to that of Darcy’s law for multiphase flow but augmented by the fluid-fluid viscous forces. Models for these fluid-fluid interactions are suggested and implemented into the numerical code CartaBlanca. Numerical results indicate that the model captures the main features of the multiphase flow in the SAGD process, but the detailed features, such as plumes are missed. We find that viscous coupling among the fluid phases is important. Advection time scales for the different fluids differ by several orders of magnitude because of vast viscosity differences. Numerically resolving all of these time scales is time consuming. To address this problem, we introduce a steam surrogate approximation to increase the steam advection time scale, while keeping the mass and energy fluxes well approximated. This approximation leads to about a 40-fold speed-up in execution speed of the numerical calculations at the cost of a few percent error in the relevant quantities.},
doi = {10.2118/178432-PA},
journal = {SPE Journal},
number = 35,
volume = 40,
place = {United States},
year = {Fri Jan 01 00:00:00 EST 2016},
month = {Fri Jan 01 00:00:00 EST 2016}
}

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