...
LaTeX Math Block |
---|
| \frac{\partial p_1}{\partial t_D} = \frac{\partial^2 p_1}{\partial r_D^2} + \frac{1}{r_D}\cdot \frac{\partial p_1}{\partial r_D} |
|
LaTeX Math Block |
---|
| p_1(t_D = 0, r_D)= 0 |
|
LaTeX Math Block |
---|
| p_1(t_D, r_D=1) = 1 |
| |
| Outer Boundary |
|
|
LaTeX Math Block |
---|
| \frac{\partial p_1(t_D, r_D)}{\partial r_D}
\biggBigg|_{r_D=r_{aD}} = 0 |
|
LaTeX Math Block |
---|
| p_1(t_D, r_D=r_{aD})} = \infty) = 0 |
|
|
The Dimensionless Water Influx
is a unique function of time
for each dimensionless value of
which represents the ratio of external aquifer size
to net pay size
:
...