...
Isobar Propagation
Isobar equation for a constant-rate production:
| LaTeX Math Block |
|---|
|
p(t,r) = p_i + \frac{q_t}{4 \pi \sigma} \, F \bigg( - \frac{r^2}{4 \chi t} \bigg) = {\rm const} \quad \rightarrow \quad \frac{r^2}{4 \chi t}= {\rm const} |
Since the pressure disturbance at
moment was at well walls then the formula for constant-pressure front propagation becomes:| LaTeX Math Block |
|---|
|
r(t) = r_w + 2 \sqrt{\chi t} |
This leads to estimation of isobar velocity:
| LaTeX Math Block |
|---|
|
u_p(t) = \sqrt{\frac{\chi}{t}}
|
See also
...
Physics / Fluid Dynamics / Radial fluid flow
...
