...
Expand |
---|
|
Panel |
---|
borderColor | wheat |
---|
borderWidth | 4 | 7 |
---|
|
qweqwe |
LaTeX Math Block |
---|
| V_e = \pi r_e^2 h, \quad dV = 2\pi r \, h dr |
LaTeX Math Block |
---|
| p_r = \frac{1}{V_e} \int p(r) dV = \frac{2}{r_e^2} \int p(r) \, r \, dr |
For the Steady State Radial Flow in finite reservoir the reservoir pressure is going to be: LaTeX Math Block |
---|
| p(r) = p_i + \frac{q_t}{2 \pi \sigma} \, \ln \frac{r}{r_e} |
and substituting the above to LaTeX Math Block Reference |
---|
| and integrating: LaTeX Math Block |
---|
| p_r = \frac{2}{r_e^2} \int \bigg[ p_i + \frac{q_t}{2\pi \sigma} \ln \frac{r}{r_e} \bigg] \, r \, dr = p_i - \frac{q_t}{4\pi \sigma} |
|
|
|
See Also
...
Petroleum Industry / Upstream / Production / Subsurface Production / Well & Reservoir Management / Formation pressure (Pe)
...