A general double porosity model

被引：24

作者：

Bourgeat, A

Goncharenko, M

Panfilov, M

Pankratov, L

机构：

[1] Univ St Etienne, Fac Sci, F-42023 St Etienne 02, France

[2] FTINT, Inst Basses Temp, Dept Math, UA-310164 Kharkov, Ukraine

[3] OGRI, Inst Petr & Gaz, Moscow 117917, Russia

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1999年 / 327卷 / 12期

关键词：

D O I：

10.1016/S1287-4620(00)88648-2

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a parabolic equation with highly contrasted diffusion coefficients in the blocks set M-(epsilon) and in the surrounding fissures system F-(epsilon). Without any periodicity assumption, for a large range of contrast and by mean of variational homogenization, we find the global behavior when the numbers of blocks tends to infinity, for both the non stationary and the stationary model. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：1245 / 1250

页数：6

共 11 条

[1]

[Anonymous], 1997, APPL ANAL, DOI DOI 10.1080/00036819708840538

[2] DERIVATION OF THE DOUBLE POROSITY MODEL OF SINGLE-PHASE FLOW VIA HOMOGENIZATION THEORY [J].

ARBOGAST, T ;

DOUGLAS, J ;

HORNUNG, U .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (04) :823-836

[3] EFFECTIVE MACROSCOPIC DESCRIPTION FOR HEAT-CONDUCTION IN PERIODIC COMPOSITES [J].

AURIAULT, JL .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1983, 26 (06) :861-869

[4] Random double porosity model [J].

Bourgeat, A ;

Mikelic, A ;

Piatnitski, A .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (01) :99-104

[5]

BOURGEAT A, 1997, HOMOGENIZATION POROU, pCH5

[6]

ENE H, 1995, MATH MODELLING FLOW, P402

[7]

GONCHARENKO MV, 1989, TEORIYA FUNKTSII FUN, V52, P112

[8]

KHRUSLOV EY, 1978, MAT SBORNIK, V106, P603

[9]

PANFILOV MB, 1996, AVERAGED MODELS FLOW

[10]

PANKRATOV LS, 1994, SPECTRAL OPERATOR TH, V19, P233

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