Averaging transfer equations in porous media with random inhomogeneities

Shvidler, M. I.

doi:10.1007/bf01097362

Cited by 7 publications

(7 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2) looks like a wave equation. Note that this agrees with the approach used by Shvidler [12] for an analysis by fluctuations of the behaviour of mass concentration for miscible flow in porous media.…”

Section: Introduction and Formulationsupporting

confidence: 59%

See 1 more Smart Citation

Kinetic formulation for a transport equation with memory

Amirat

Hamdache

Ziani

1991

Communications in Partial Differential Equations

View full text Add to dashboard Cite

Section: Introduction and Formulationsupporting

confidence: 59%

“…12), are equivalent formulations of the Cauchy problem (1.2), (1.3). We keep formulation (1.11) because of the symmetry.…”

Section: I'mentioning

confidence: 98%

Kinetic formulation for a transport equation with memory

Amirat

Hamdache

Ziani

1991

Communications in Partial Differential Equations

View full text Add to dashboard Cite

“…In this case (23) may be localized for any value of 8 0 (Shvidler, 1985a;1985b). Differentiating of the integrals in (23) with respect to t, and applying the conditions aM_ M ----,…”

Section: Localization Of Equation Of Transport For Exponential Correlmentioning

confidence: 99%

“…Consider two variations of a one-dimensional problem (Shvidler, 1985a;1985b). In the first problem, the porosity is a non-random function and the velocity is a random function of time.…”

Section: Localization Of Equation Of Transport For Exponential Correlmentioning

confidence: 99%

See 1 more Smart Citation

Correlation model of transport in random fields

Shvidler¹

1993

Water Resources Research

View full text Add to dashboard Cite

This paper is an investigation of the correlation model for transport of nonreactive solutes in media with random porosity and permeability. The method of perturbation is used to obtain a second‐order approximate, nonlocal (integrodifferential) equation for mean concentration. An approximate method of localization is used to convert to with the same order of approximation differential equations of transport. Exact averaged equations for one‐dimensional transport are examined, and the question of the consistency and asymptotic behavior for approximate averaged equations is discussed. A detailed investigation of transport in a stratified system has been carried out. The second moment of concentration is examined, the variance of the concentration is computed, and cross‐correlation moments are obtained for fields of porosity and velocity, including solute concentration.

show abstract

Water flow and solute mass flux in heterogeneous porous formations with spatially random porosity

Hassan

2001

Journal of Hydrology

View full text Add to dashboard Cite

Averaging transfer equations in porous media with random inhomogeneities

Cited by 7 publications

References 1 publication

Kinetic formulation for a transport equation with memory

Kinetic formulation for a transport equation with memory

Correlation model of transport in random fields

Water flow and solute mass flux in heterogeneous porous formations with spatially random porosity

Contact Info

Product

Resources

About