ρw ag

scale factor squared if the seepage force is to be

(A26)

w

scaled like the weight force.

where ρw and w are, respectively, the density

and the viscosity of the fluid phase, and κ is de-

fined as the absolute permeability, which depends

only on the geometry of the soil skeleton. Because

The centrifuge is used to approximate the con-

ρw, w and κ do not depend on gravity, it follows

dition of eq A10 by subjecting a model to the con-

stant angular velocity Ω such that the following

that

approximate relation holds:

1

=

=

.

(A27)

1

≈

=

(A30)

Thus eq A25 becomes

=

.

(A28)

ity, *r *is a representative radius of the model from

the axis of rotation (Cooke 1991), and *r*Ω2 is the

Because *K*Fs must equal *K*F = *K*l2 , then

radial centripetal acceleration of the model at this

radius. In the centrifuge modeling literature, *N*

(A29)

or *n *is often used as the symbol for the inverse of

That is, the time scale factor is equal to the length

the length scale factor, i.e., 1/*K*l.

13

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