### Abstract

Mathematical models are needed in the assessment of groundwater flow
distribution in fractures. In this literature survey we examine different
conceptual and mathematical models describing flow in a single fracture. The
modeling can be divided to two parts: the geometric modeling of the fracture
and the modeling of the flow in the geometric model. All geometric models
found in the literature were stochastic, which means that the geometry is
generated by probabilistic methods. These methods were divided in two main
classes: the geostatistical approach and the fractal geometry. Most modelers
used the assumption of local cubic law when modeling flow in a variable
two-dimensional aperture field. This means that the two-dimensional equation
of groundwater flow (Reynolds equation) can be used to describe the flow in
the fracture. Various authors have, however, investigated the accuracy of this
approximation compared to the full Navier-Stokes equation.

Original language | English |
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Publisher | VTT Technical Research Centre of Finland |

Number of pages | 30 |

Publication status | Published - 2001 |

MoE publication type | D4 Published development or research report or study |

### Publication series

Series | VTT Energy Reports |
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Number | 9/2001 |

ISSN | 1457-3350 |

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## Cite this

Tukiainen, V. (2001).

*The hydraulic characterization of a single fracture*. VTT Technical Research Centre of Finland. VTT Energy Reports, No. 9/2001