# Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell.

@article{Paun2003KineticRI, title={Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell.}, author={E Paun{\'e} and Jaume Casademunt}, journal={Physical review letters}, year={2003}, volume={90 14}, pages={ 144504 } }

A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast, c=(mu(1)-mu(2))/(mu(1)+mu(2)), in a model porous medium defined as a Hele-Shaw cell with random gap b(0)+delta b. Fluctuations of both capillary and viscous pressure are explicitly related to the microscopic quenched disorder, yielding conserved, nonconserved, and power-law correlated noise terms. Two length scales are identified that control the possible scaling regimes and… Expand

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#### References

SHOWING 1-10 OF 25 REFERENCES

Fractal Concepts in Surface Growth

- Materials Science
- 1996

Radicals on Surfaces is volume 13 of Topics in Molecular Organization and Engineering. The individual contributions of 11 invited specialists from around the world result in a comprehensive review… Expand

"J."

- 1890

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)… Expand

Theory of Distributions: A Non-Technical Introduction

- Mathematics
- 1990

Preface 1. Introduction 2. The elements of distribution theory: Section 1. Basic Definitions and Facts Section 2. Convolutions 3. Examples of distributions 4. Fourier transforms 5. Tempered… Expand

Phys

- Rev. Lett. 89, 104503
- 2002

Phys. Rev. E

- Phys. Rev. E
- 2002

Phys. Rev. Lett

- Phys. Rev. Lett
- 2002

Phys. Rev. Lett

- Phys. Rev. Lett
- 2002

Europhys. Lett

- Europhys. Lett
- 2001

Phys. Rev. E

- Phys. Rev. E
- 2001

Phys. Rev. Lett. Eur. Phys. J. B

- Phys. Rev. Lett. Eur. Phys. J. B
- 1999