Renormalization group for viscous fingering with chemical dissolution

Takashi Nagatani, Jysoo Lee, and H. Eugene Stanley
Phys. Rev. Lett. 66, 616 – Published 4 February 1991
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Abstract

We study the evolution of patterns formed by injecting a reactive fluid with viscosity μ into a two-dimensional porous medium filled with a nonreactive fluid of unit viscosity. We treat the ‘‘mass-transfer limit,’’ in which the time scale of the chemical reaction between the injected fluid and the porous media is much faster than the time scale of reactant transport. We formulate a three-parameter position-space renormalization group and find two crossovers: (1) from the first diffusion-limited-aggregation (DLA) to the Eden point—due to finite viscosity, and (2) from the Eden to the second DLA point—due to chemical dissolution. We also calculate the crossover exponent and the crossover radius.

  • Received 26 June 1990

DOI:https://doi.org/10.1103/PhysRevLett.66.616

©1991 American Physical Society

Authors & Affiliations

Takashi Nagatani, Jysoo Lee, and H. Eugene Stanley

  • Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215 College of Engineering, Shizuoka University Hamamatsu 432, Japan

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Issue

Vol. 66, Iss. 5 — 4 February 1991

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