on Iterative IMPES Formulation for Two Phase Flow with Capillarity in Heterogeneous Porous Media
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@Article{IJNAMB-1-30,
author = {J. Kou and S. Sun},
title = { on Iterative IMPES Formulation for Two Phase Flow with Capillarity in Heterogeneous Porous Media},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2010},
volume = {1},
number = {1},
pages = {30--40},
abstract = {This work is a continuation of Kou and Sun [36] where we present an efficient improvement on the IMplicit Pressure Explicit Saturation (IMPES) method for two-phase immiscible
fluid flow in porous media with different capillarity pressures. In the previous work, we present
an implicit treatment of capillary pressure appearing in the pressure equation. A linear approximation
of capillary function is used to couple the implicit saturation equation into the pressure
equation that is solved implicitly. In this paper, we present an iterative version of this method. It
is well-known that the fully implicit scheme has unconditional stability. The new method can be
used for solving the coupled system of nonlinear equations arisen after the fully implicit scheme.
We follow the idea of the previous work, and use the linear approximation of capillary function
at the current iteration. This is different from iterative IMPES that computes capillary pressure
by the saturations at the previous iteration. From this approximation, we couple the saturation
equation into the pressure equation, and establish the coupling relation between the pressure and
saturation. We employ the relaxation technique to control the convergence of the new method,
and we give a choice of relaxation factor. The convergence theorem of our method is established
under the natural conditions. Numerical examples are provided to demonstrate the performance
of our approach, and the results show that our method is efficient and stable.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/323.html}
}
TY - JOUR
T1 - on Iterative IMPES Formulation for Two Phase Flow with Capillarity in Heterogeneous Porous Media
AU - J. Kou & S. Sun
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 30
EP - 40
PY - 2010
DA - 2010/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/323.html
KW - Two-phase flow
KW - IMPES
KW - Heterogeneous media
KW - Capillary pressure
AB - This work is a continuation of Kou and Sun [36] where we present an efficient improvement on the IMplicit Pressure Explicit Saturation (IMPES) method for two-phase immiscible
fluid flow in porous media with different capillarity pressures. In the previous work, we present
an implicit treatment of capillary pressure appearing in the pressure equation. A linear approximation
of capillary function is used to couple the implicit saturation equation into the pressure
equation that is solved implicitly. In this paper, we present an iterative version of this method. It
is well-known that the fully implicit scheme has unconditional stability. The new method can be
used for solving the coupled system of nonlinear equations arisen after the fully implicit scheme.
We follow the idea of the previous work, and use the linear approximation of capillary function
at the current iteration. This is different from iterative IMPES that computes capillary pressure
by the saturations at the previous iteration. From this approximation, we couple the saturation
equation into the pressure equation, and establish the coupling relation between the pressure and
saturation. We employ the relaxation technique to control the convergence of the new method,
and we give a choice of relaxation factor. The convergence theorem of our method is established
under the natural conditions. Numerical examples are provided to demonstrate the performance
of our approach, and the results show that our method is efficient and stable.
J. Kou and S. Sun. (2010). on Iterative IMPES Formulation for Two Phase Flow with Capillarity in Heterogeneous Porous Media.
International Journal of Numerical Analysis Modeling Series B. 1 (1).
30-40.
doi:
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