Effective conductivity of inertial flows through porous media

被引：0

作者：

Severino, Gerardo ^{[1
]}

Giannino, Francesco ^{[2
]}

De Paola, Francesco ^{[3
]}

Di Federico, Vittorio ^{[4
]}

机构：

[1] Univ Naples Federico II, Div Water Resources Management, Via Univ 100, I-80055 Portici, NA, Italy

[2] Univ Naples Federico II, Div Ecol & Syst Dynam, Via Univ 100, I-80055 Portici, NA, Italy

[3] Univ Naples Federico II, Div Hydraul, Via Claudio 21, I-80125 Naples, NA, Italy

[4] Univ Bologna, Dept Civil Chem Environm & Mat Engn, Alma Mater Studiorum, Viale Risorgimento 2, I-40136 Bologna, BO, Italy

来源：

PHYSICAL REVIEW E | 2023年 / 107卷 / 03期

关键词：

FLUID-FLOW; PERMEABILITY;

D O I：

10.1103/PhysRevE.107.035102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study two-dimensional incompressible inertial flows through porous media. At core (small) scale, we prove that the constitutive, nonlinear model can be rewritten into a linear one by means of a new parameter K* which encompasses all the inertial effects. In natural (large-scale) formations, K* is erratically changing, and we analytically compute its counterpart, which is coined generalized effective conductivity, by the self-consistent approach (SCA). In spite of its approximate nature, the SCA leads to simple results that are in good agreement with Monte Carlo simulations.

引用

页数：7

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