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Upscaling immiscible two-phase flows...

Strinopoulos, Theofilos.

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Upscaling immiscible two-phase flows in an adaptive frame.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Upscaling immiscible two-phase flows in an adaptive frame./
Author:	Strinopoulos, Theofilos.
Description:	119 p.
Notes:	Adviser: Thomas Hou.
Contained By:	Dissertation Abstracts International67-10B.
Subject:	Engineering, Petroleum. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3236248
ISBN:	9780542904554

Upscaling immiscible two-phase flows in an adaptive frame.
Strinopoulos, Theofilos.

Upscaling immiscible two-phase flows in an adaptive frame. - 119 p.

Adviser: Thomas Hou.

Thesis (Ph.D.)--California Institute of Technology, 2006.

We test our numerical method in realistic permeability fields, such is the Tenth SPE Comparative Solution Project permeabilities, for accuracy and computational cost.

ISBN: 9780542904554Subjects--Topical Terms:

1018448
Engineering, Petroleum.

Upscaling immiscible two-phase flows in an adaptive frame.
LDR:02431nam 2200313 a 45 001 971950
005 20110927
008 110927s2006 eng d
020 $a 9780542904554
035 $a (UnM)AAI3236248
035 $a AAI3236248
040 $a UnM $c UnM
100 1 $a Strinopoulos, Theofilos. $3 1295976
245 1 0 $a Upscaling immiscible two-phase flows in an adaptive frame.
300 $a 119 p.
500 $a Adviser: Thomas Hou.
500 $a Source: Dissertation Abstracts International, Volume: 67-10, Section: B, page: 5796.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2006.
520 $a We test our numerical method in realistic permeability fields, such is the Tenth SPE Comparative Solution Project permeabilities, for accuracy and computational cost.
520 $a We derive the two-scale limit of a linear or nonlinear saturation equation with a flow-based coordinate transformation. This transformation consists of the pressure and the streamfunction. In this framework the saturation equation is decoupled to a family of one-dimensional nonconservative transport equations along streamlines. This simplifies the derivation of the two-scale limit. Moreover it allows us to obtain the convergence independent of the assumptions of periodicity and scale separation. We provide a rigorous estimate on the convergence rate. We combine the two-scale limit with Tartar's method to complete the homogenization.
520 $a To design an efficient numerical method, we use in averaging approach across the streamlines on the two-scale limit equations. The resulting numerical method for the saturation has all the advantages in terms of adaptivity that methods have. We couple it with a moving mesh along the streamlines to resolve the shock more efficiently. We use the multiscale finite element method to upscale the pressure equation because it gives access to the fine scale velocity, which enters in the saturation equation; through the basis functions. We propose to solve the pressure equation in the coordinate frame of the initial pressure and saturation, which is similar to the modified multiscale finite element method.
590 $a School code: 0037.
650 4 $a Engineering, Petroleum. $3 1018448
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0405
690 $a 0759
690 $a 0765
710 2 0 $a California Institute of Technology. $3 726902
773 0 $t Dissertation Abstracts International $g 67-10B.
790 $a 0037
790 1 0 $a Hou, Thomas, $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3236248