...
Approximations
...
...
| LaTeX Math Block |
|---|
| {\rm w} = 1 - \frac{r_w^2}{r_e^2} \approx 1 |
|
| LaTeX Math Block |
|---|
| p(t,r) \approx p_i - \frac{q_t}{V_e \, \phi \, c_t} \, t + \frac{q_t}{4\pi \sigma} \bigg[ 2 \ln \frac{r}{r_e} - \frac{r^2}{r_e^2} + 1 \bigg]
, \quad r_{wf} < r \leq r_e |
|
| LaTeX Math Block |
|---|
| p_{wf}(t) \approx p_e(t) - \frac{q_t}{2 \pi \sigma} \, \left[ \ln \frac{r_e}{r_w} - 0.5 + S \right] |
|
| LaTeX Math Block |
|---|
| p_e(t) \approx p_i - \frac{q_t}{V_e \phi c_t}t |
|
Applications
...
Equation
| LaTeX Math Block Reference |
|---|
|
shows how the
basic diffusion model parameters impact the relation between
drawdown | LaTeX Math Inline |
|---|
| body | \Delta p = p_i - p_{wf} |
|---|
|
and
total sandface flowrate and plays important methodological role as they are used in many algorithms and express-methods of
Pressure Testing. It also called Dupuis
...
