New stochastic model for dispersion in heterogeneous porous media: 1. Application to unbounded domains

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Title

New stochastic model for dispersion in heterogeneous porous media: 1. Application to unbounded domains

Content partner

Lincoln University

Collection

Lincoln University Research Archive

Description

A new model of solute dispersion in porous media that avoids Fickian assumptions and that can be applied to variable drift velocities as in non-homogenous or geometrically constricted aquifers, is presented. A key feature is the recognition that because drift velocity acts as a driving coefficient in the kinematical equation that describes random fluid displacements at the pore scale, the use of Ito calculus and related tools from stochastic differential equation theory (SPDE) is required to ...

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Format

Research Paper

Research format

Journal article

Date created

2008

Creator

Verwoerd, WS

URL

https://hdl.handle.net/10182/457

Related subjects

stochastic models / solute dispersion / porous medium / drift velocity / stochastic differential equation / Marsden::230000 Mathematical Sciences / Engineering / Information and computing sciences / Mathematical sciences

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