A multi-length-scale theory of the anomalous mixing-length growth for tracer flow in heterogeneous porous media

DOI10.1007/BF01060076zbMath0925.76737MaRDI QIDQ1203160

Qiang Zhang

Publication date: 27 October 1993

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

anomalous diffusionmultifractals

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

Related Items (6)

Inertial range scaling of laminar shear flow as a model of turbulent transport ⋮ Fuzzification of the miscible displacement model in heterogeneous porous media ⋮ Efficient generation of multi-scale random fields: A hierarchical approach ⋮ Trapping, percolation, and anomalous diffusion of particles in a two-dimensional random field ⋮ Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target ⋮ A random walk on small spheres method for solving transient anisotropic diffusion problems

Cites Work

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• Homogenization of first order hyperbolic equations and application to miscible flow in porous media
• A random field model for anomalous diffusion in heterogeneous porous media
• A limit theorem for turbulent diffusion
• The kernel of a semigroup of measures
• Solute transport in heterogeneous porous formations
• The use of field theoretic methods for the study of flow in a heterogeneous porous medium
• Creeping flow in two-dimensional networks
• Eulerian and Lagrangian renormalization in turbulence theory
• A Perturbation Expansion for Diffusion in a Random Velocity Field

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