Flow in a fractured medium with fractal fracture geometry

DOI10.1007/BF01049539zbMath0729.76083OpenAlexW1966465444MaRDI QIDQ806516

O. Yu. Dinariev

Publication date: 1990

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01049539

zbMATH Keywords

flow equationsfractalfractured porous mediumBarenblatt-Zheltov modelHausdorff-Bezikovich dimensionsymmetrical flows

Mathematics Subject Classification ID

Fracture and damage (74R99) Flows in porous media; filtration; seepage (76S05)

Related Items (7)

Difference methods for solving non-local boundary value problems for fractional-order pseudo-parabolic equations with the Bessel operator ⋮ Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain ⋮ Locally one-dimensional difference scheme for a fractional tracer transport equation ⋮ Difference schemes for partial differential equations of fractional order ⋮ Boundary value problems for degenerate and degenerate fractional order differential equations with non-local linear source and difference methods for their numerical implementation ⋮ Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection-diffusion equation ⋮ On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions

Cites Work

• Unnamed Item
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling

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