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A-26 (285) W.R. Bielski, J.J. Telega, Effective Properties of Geomaterials: Rocks and Porous Media

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Abstract, 3

Preface, 4

Part I. Cracked media, 5

1. Introduction, 5

2. Self consistent approach, 6

3. The scattering method, 13

4. Layered media, 20

5. Two-scaled asymptotic expansion method, 24

6. The method of Г-convergence, 31

7. Differential effective scheme, 33

8. Visco-elastic moduli, 38

9. Wave propagation, 40

Part II. Porous media and averaging, 48

10. Flow of Stokes fluid through a rigid skeleton. Influence of scaling, 48

10.1 Darcy´s law and homogenization of the Stokes equations, 48

10.2 Formulation of the Stokes problem in the domain Ωε, 51

10.3 Other cases of the homogenization of the Stokes equations, 57

11. Homogenization of the Stokes equations with a slip interface condition, 61

11.1 Skeleton of Section 10.1, 62

11.2 Different scalings of rigid particles, 62

12. Homogenization of nonstationary Stokes equations: influence of scaling, 64

13. Flow of two immiscible fluids through a porous medium, 71

14. Fractured porous media: double periodicity and double porosity models, 75

14.1 Stationary flow: double periodicity model, 76

14.2 Transient flow: double porosity model, 78

14.3 Incompressible, immiscible displacement in a reservoir with moderate-sized matrix blocks, 86

14.4 Incompressible, immiscible displacement in a reservoir with large matrix blocks, 89

15. Deformable skeleton, 91

15.1 Saturated porous elastic media, 92

16. Visualization of multiphase flows: photoluminescent volumetric imaging, 96

16.1 Comments on other measurements techniques, 100

Final remarks and bibliographical comments, 102

Bibliography, 104


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