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:<math>T^* = L^{*2} \,</math>
For model tests involving both dynamics and diffusion, the conflict in time scale factors may be resolved by scaling the permeability of the soil (Garnier et al. 2007)
====Scaling of other quantitites====
If a 1 m deep model container is filled with soil, placed on the end of a centrifuge and subject to a centrifugal acceleration of 50 g, the pressures and stresses are increased by a factor of 50. So, the vertical stress at the base of the model container is equivalent to the vertical stress at a depth of 50 m below the ground surface on earth -- the 1 m deep model represents 50 m of prototype soil.▼
(this section needs work!)
▲If a 1 m deep model container is filled with soil, placed on the end of a centrifuge and subject to a centrifugal acceleration of 50 g, the pressures and stresses are increased by a factor of 50. So, the vertical stress at the base of the model container is equivalent to the vertical stress at a depth of 50 m below the ground surface on earth -- the 1 m deep model represents 50 m of prototype soil.
With a centrifuge model, we scale down the length (L) of the model and we scale up gravity (g) [or acceleration (a)]. We use the same soil at the same mass density (r) to ensure we get similar behavior. That is, for a given scaling factor N,
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