You are viewing an old version of this page. View the current version.
Compare with Current
View Page History
« Previous
Version 2
Next »
| (1) |
p_{wf}(t) = p_i + \frac{q_t}{4 \pi \sigma} \, \bigg[ - 2S + \gamma
- \ln \bigg( \frac{4 \chi t}{r_w^2} \bigg) \bigg] |
| (2) |
p_{wf}(t) = p_i + \frac{q_t}{4 \pi \sigma} \, \bigg[ - 2S + \gamma
- \ln \bigg( \frac{4 \chi t}{r_w^2} \bigg) \bigg]
\\
\Delta p = p_{wf}(0) - p_{wf}(t) = p_{wf}(0) - p_i - \frac{q_t}{4 \pi \sigma} \, \bigg[ - 2S + \gamma
- \ln \bigg( \frac{4 \chi t}{r_w^2} \bigg) \bigg] |
and logarithmic pressure derivative:
| (3) |
\Delta p ' = t \frac{d}{dt} \Delta p = \frac{q_t}{4 \pi \sigma} = \rm const |
