Motivation
One of the key problems in designing the pipelines and wells and controlling the fluid transport along is to predict the pressure along-hole pressure distribution during the stationary fluid transport.
In many cases the flow can be considered as Isothermal or Quasi-isothermal.
Pipeline flow simulator is addressing this problem with account of the varying pipeline trajectory, gravity effects and fluid friction with pipeline walls.
Inputs & Outputs
...
| Inputs | Outputs |
|---|
Pipeline trajectory | LaTeX Math Inline |
|---|
| body | {\bf r} = {\bf r}(l) = \{ x(l), \, y(l), \, z(l) \} |
|---|
|
| along-pipe distribution of stabilised pressure |
| along-pipe distribution of stabilised flow rate |
| along-pipe distribution of stabilised average flow velocity |
Inner pipe wall roughness |
|
...
Equations
...
| LaTeX Math Block |
|---|
| \bigg( 1 - \frac{c(p) \, \rho_0^2 \, q_0^2}{A^2} \bigg ) \frac{dp}{dl} = \rho(p) \, g \, \frac{dz}{dl} - \frac{\rho_0^2 \, q_0^2 }{2 A^2 d} \frac{f(p)}{\rho(p)} |
|
| LaTeX Math Block |
|---|
| u(l) = \frac{\rho_0 \cdot q_0}{\rho(p) \cdot A(l)} |
|
| LaTeX Math Block |
|---|
| q(l) = \frac{\rho_0 \cdot q_0}{\rho(p)} |
|
В процессе эксплуатации нагнетательной скважины движение флюида вдоль ствола
происходит в стационарном режиме, при этом профиль скорости потока
и давления
удовлетворяют
...
