### Abstract

A formal perturbation expansion is presented for the large-scale effective drift velocity and diffusion matrix of a medium with stationary random velocity, V(x), and constant nonrandom diffusion matrix, a, on a small scale. If mu denotes the mean of V(x), and V(x) is expressed as mu plus epsilon U(x), then the expansion is in powers of epsilon with mu , U and a fixed. Explicit expressions up to second order in epsilon are obtained which generalize the standard formulae to the case a does not equal 0 0.

Original language | English (US) |
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Pages (from-to) | 411-424 |

Number of pages | 14 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 44 |

Issue number | 2 |

DOIs | |

State | Published - 1984 |

### ASJC Scopus subject areas

- Applied Mathematics

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## Cite this

Winter, C. L., Newman, C. M., & Neuman, S. P. (1984). PERTURBATION EXPANSION FOR DIFFUSION IN A RANDOM VELOCITY FIELD.

*SIAM Journal on Applied Mathematics*,*44*(2), 411-424. https://doi.org/10.1137/0144027