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Numerical Monte Carlo analysis of the influence of pore-scale dispersion on macrodispersion in 2-D heterogeneous porous media

Abstract : We investigate the influences of pore‐scale dispersion and of larger‐scale permeability heterogeneities on the macrodispersion without the molecular diffusion. Permeability follows a lognormal exponentially correlated distribution characterized by its correlation length l and its lognormal variance s 2 . Macrodispersion is evaluated numerically by using parallel simulations on grids of characteristic size ranging from 200l to 1600l. We note a L and a T the pore‐scale longitudinal and transversal dispersivities. For a L /l <10 −2 and a T /l <10 −3 , the influence of pore‐scale dispersion on the macrodispersion is smaller than 5% of the macrodispersion due only to permeability heterogeneities
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Anthony Beaudoin, Jean-Raynald de Dreuzy, Jocelyne Erhel. Numerical Monte Carlo analysis of the influence of pore-scale dispersion on macrodispersion in 2-D heterogeneous porous media. Water Resources Research, American Geophysical Union, 2010, 46 (12), pp.W12537. ⟨10.1029/2010WR009576⟩. ⟨insu-00610159⟩

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