Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations
Identifieur interne : 000F68 ( Main/Exploration ); précédent : 000F67; suivant : 000F69Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations
Auteurs : Jean-Raynald De Dreuzy [France] ; Anthony Beaudoin [France] ; Jocelyne Erhel [France]Source :
- Water Resources Research [ 0043-1397 ] ; 2007-10.
Abstract
We determine the asymptotic dispersion coefficients in 2D exponentially correlated lognormally distributed permeability fields by using parallel computing. Fluid flow is computed by solving the flow equation discretized on a regular grid and transport triggered by advection and diffusion is simulated by a particle tracker. To obtain a well‐defined asymptotic regime under ergodic conditions (initial plume size much larger than the correlation length of the permeability field), the characteristic dimension of the simulated computational domains was of the order of 103 correlation lengths with a resolution of ten cells by correlation length. We determine numerically the asymptotic effective longitudinal and transverse dispersion coefficients over 100 simulations for a broad range of heterogeneities σ2 ∈ [0, 9], where σ2 is the lognormal permeability variance. For purely advective transport, the asymptotic longitudinal dispersion coefficient depends linearly on σ2 for σ2 < 1 and quadratically on σ2 for σ2 > 1 and the asymptotic transverse dispersion coefficient is zero. Addition of homogeneous isotropic diffusion induces an increase of transverse dispersion and a decrease of longitudinal dispersion.
Url:
DOI: 10.1029/2006WR005394
Affiliations:
- France
- Haute-Normandie, Région Bretagne, Région Normandie
- Le Havre, Rennes
- Université de Rennes 1, Université du Havre
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Res.</title><idno type="ISSN">0043-1397</idno><idno type="eISSN">1944-7973</idno><imprint><publisher>Blackwell Publishing Ltd</publisher><date type="published" when="2007-10">2007-10</date><biblScope unit="volume">43</biblScope><biblScope unit="issue">10</biblScope><biblScope unit="page" from="/">n/a</biblScope><biblScope unit="page" to="/">n/a</biblScope></imprint><idno type="ISSN">0043-1397</idno></series><idno type="istex">BDF9EEBFA4B819F052AF18066A007478FB73D818</idno><idno type="DOI">10.1029/2006WR005394</idno><idno type="ArticleID">2006WR005394</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0043-1397</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract">We determine the asymptotic dispersion coefficients in 2D exponentially correlated lognormally distributed permeability fields by using parallel computing. Fluid flow is computed by solving the flow equation discretized on a regular grid and transport triggered by advection and diffusion is simulated by a particle tracker. To obtain a well‐defined asymptotic regime under ergodic conditions (initial plume size much larger than the correlation length of the permeability field), the characteristic dimension of the simulated computational domains was of the order of 103 correlation lengths with a resolution of ten cells by correlation length. We determine numerically the asymptotic effective longitudinal and transverse dispersion coefficients over 100 simulations for a broad range of heterogeneities σ2 ∈ [0, 9], where σ2 is the lognormal permeability variance. For purely advective transport, the asymptotic longitudinal dispersion coefficient depends linearly on σ2 for σ2 < 1 and quadratically on σ2 for σ2 > 1 and the asymptotic transverse dispersion coefficient is zero. Addition of homogeneous isotropic diffusion induces an increase of transverse dispersion and a decrease of longitudinal dispersion.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Bretagne</li><li>Région Normandie</li></region><settlement><li>Le Havre</li><li>Rennes</li></settlement><orgName><li>Université de Rennes 1</li><li>Université du Havre</li></orgName></list><tree><country name="France"><region name="Région Bretagne"><name sortKey="De Dreuzy, Jean Aynald" sort="De Dreuzy, Jean Aynald" uniqKey="De Dreuzy J" first="Jean-Raynald" last="De Dreuzy">Jean-Raynald De Dreuzy</name></region><name sortKey="Beaudoin, Anthony" sort="Beaudoin, Anthony" uniqKey="Beaudoin A" first="Anthony" last="Beaudoin">Anthony Beaudoin</name><name sortKey="Beaudoin, Anthony" sort="Beaudoin, Anthony" uniqKey="Beaudoin A" first="Anthony" last="Beaudoin">Anthony Beaudoin</name><name sortKey="De Dreuzy, Jean Aynald" sort="De Dreuzy, Jean Aynald" uniqKey="De Dreuzy J" first="Jean-Raynald" last="De Dreuzy">Jean-Raynald De Dreuzy</name><name sortKey="Erhel, Jocelyne" sort="Erhel, Jocelyne" uniqKey="Erhel J" first="Jocelyne" last="Erhel">Jocelyne Erhel</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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