Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme

Meiqun Jiang; Xingye Yue

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

  • Volume: 41, Issue: 5, page 945-957
  • ISSN: 0764-583X

Abstract

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Motivated by well-driven flow transport in porous media, Chen and Yue proposed a numerical homogenization method for Green function [Multiscale Model. Simul.1 (2003) 260–303]. In that paper, the authors focused on the well pore pressure, so the local error analysis in maximum norm was presented. As a continuation, we will consider a fully discrete scheme and its multiscale error analysis on the velocity field.

How to cite

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Jiang, Meiqun, and Yue, Xingye. "Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme." ESAIM: Mathematical Modelling and Numerical Analysis 41.5 (2007): 945-957. <http://eudml.org/doc/250080>.

@article{Jiang2007,
abstract = { Motivated by well-driven flow transport in porous media, Chen and Yue proposed a numerical homogenization method for Green function [Multiscale Model. Simul.1 (2003) 260–303]. In that paper, the authors focused on the well pore pressure, so the local error analysis in maximum norm was presented. As a continuation, we will consider a fully discrete scheme and its multiscale error analysis on the velocity field. },
author = {Jiang, Meiqun, Yue, Xingye},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Numerical homogenization; well-driven flow; heterogeneous porous medium; multiscale finite element.; Green function; error analysis; velocity field},
language = {eng},
month = {10},
number = {5},
pages = {945-957},
publisher = {EDP Sciences},
title = {Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme},
url = {http://eudml.org/doc/250080},
volume = {41},
year = {2007},
}

TY - JOUR
AU - Jiang, Meiqun
AU - Yue, Xingye
TI - Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2007/10//
PB - EDP Sciences
VL - 41
IS - 5
SP - 945
EP - 957
AB - Motivated by well-driven flow transport in porous media, Chen and Yue proposed a numerical homogenization method for Green function [Multiscale Model. Simul.1 (2003) 260–303]. In that paper, the authors focused on the well pore pressure, so the local error analysis in maximum norm was presented. As a continuation, we will consider a fully discrete scheme and its multiscale error analysis on the velocity field.
LA - eng
KW - Numerical homogenization; well-driven flow; heterogeneous porous medium; multiscale finite element.; Green function; error analysis; velocity field
UR - http://eudml.org/doc/250080
ER -

References

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  13. O. Mascarenhas and L.J. Durlofsky, Scale up in the vicinity of horizontal wells, in Proceedings of the 20th Annual International Energy Agency Workshop and Symposium, Paris, September (1999) 22–24.  
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