The empirical relation developed by Juarez-Badillo is of the form

(2) |

Knowing that we need to find a power-law form to fit the observations,
we can analyze this equation under the limit where the time of the
experiment, *t*, is much less than the characteristic compaction
time, , defined as when the sample has undergone exactly half of
the final strain limit. This seems appropriate as we are making
an effort to do lab experiments at much less than the time that we
imagine these processing happening in the field.

Equation 2 then becomes

We notice now that the strain at time 1

and therefore

(3) |

Not only does this equation fit well with the observed data, but
considering only progressive quartiles of the data, constant and stable
values for the regressed parameters and *d* are
obtained. This provides further justification in the selection of this
model as this was one of the significant problems with use of the
other models.

Now, assuming that our adoption of the Juarez-Badillo creep mechanism is correct, we have a model that helps explain our data. This fit implies several things:

- All tests are operating well in accordance with the assumption that . Even the data shown in Figure 4 fit the exponential model nicely.
- Under these time constraints we cannot hope to solve for both and , but only for their quotient.
- Further research is needed to understand how a sample can achieve such self-select its mode of operation.

year
One year hold uniaxial creep test.
Exponential function still fits meaning and implying that
reservoir material must have a characteristic creep time on the order
of decades.Dudley and Myers (1994)
Figure 4 |

9/18/2001