A LGA model for dispersion in heterogeneous porous media

Gao, Yimin; Sharma, Mukul M.

doi:10.1007/bf00624048

Cited by 9 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1992;Boon et al . 1996), fluid flow in homogeneous and heterogeneous porous media (Rothman 1988;Gao & Sharma 1994a), fracture permeability (Gutfraind & Hansen 1995) and dispersion (Gao & Sharma 1994b). Some semblance of temperature and thermal effects has been obtained by the introduction of (discrete) multispeed models (d'Humières et al .…”

Section: Introductionmentioning

confidence: 99%

A Lorentz invariant thermal lattice gas model

Udey¹,

Shim

Spanos

1999

Proc. R. Soc. Lond. A

View full text Add to dashboard Cite

In current lattice gas models particles are constrained to travel along the principal lattice directions between sites, and must advance from one site to another at each time-step. The collision rules are therefore restricted to redistributing momentum along these principal lattice directions. We introduce a computational technique that does not suffer from these limitations. We associate with each particle a continuous momentum, which is used to control the motion of the particle on the lattice. This motion is probabilistic, a quasi-random walk, so after many time-steps the particle's average motion is a straight line. The collision rules are no longer constrained by the lattice and can be more realistically implemented; here we use Lorentz invariant binary elastic collisions. We show that the equilibrium distribution of our model is the relativistic Boltzmann distribution which permits us to find the temperature of the lattice gas.

show abstract

Section: Introductionmentioning

confidence: 99%

A Lorentz invariant thermal lattice gas model

Udey¹,

Shim

Spanos

1999

Proc. R. Soc. Lond. A

View full text Add to dashboard Cite

show abstract

A LGA model for fluid flow in heterogeneous porous media

Gao

Sharma

1994

Transp Porous Med

View full text Add to dashboard Cite

Hydrate growth in granular materials: implication to hydrate bearing sediments

Yun

Santamarina

2011

Geosci J

View full text Add to dashboard Cite

It is often assumed that the properties of hydratebearing sediments are affected by hydrate growth habits in pores. We test this hypothesis by stochastically simulating hydrate growth in pore space of a simple cubic packing of mono-sized spherical sediment grains, and assume three extreme nucleation preferences in the absence of heat or mass transport limitations, and without interfacial surface tension: (1) Homogeneous nucleation produces isolated nuclei and a highly porous hydrate mass; (2) Heterogeneous nucleation results in combined surface coating and framebuilding hydrate structures; and (3) Preferential heterogeneous nucleation on pre-existing hydrate surfaces leads to hydrate growth into the pore space. Spatial distribution of hydrate is analyzed to investigate the surface coating density, grain connectivity and mass density of hydrate cluster. Results show that surface coating density is predominant for heterogeneous nucleation and grain connectivity by hydrates is lower than the hydrate volume fraction in all cases. Therefore, a slow increase in stiffness is anticipated at low hydrate volume fraction. The highly porous hydrate structure formed by homogeneous nucleation and dense hydrate cluster are discussed with the relevance to the geomechanical and physical properties of hydrate-bearing sediments.

show abstract

A LGA model for dispersion in heterogeneous porous media

Cited by 9 publications

References 8 publications

A Lorentz invariant thermal lattice gas model

A Lorentz invariant thermal lattice gas model

A LGA model for fluid flow in heterogeneous porous media

Hydrate growth in granular materials: implication to hydrate bearing sediments

Contact Info

Product

Resources

About