The general form of non-linear single-phase pressure diffusion @model with the finite number of sources/sinks wells is given by:
LaTeX Math Block |
---|
| \phi \cdot c_t \cdot \partial_t p + \nabla {\bf u}
+ c \cdot ( {\bf u} \, \nabla p)
= \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
| LaTeX Math Block |
---|
| {\bf u} = - M \cdot ( \nabla p - \rho \, {\bf g}) |
| LaTeX Math Block |
---|
anchor | qGamma |
---|
alignment | left |
---|
| {\rm F}_{\Gamma}(p, {\bf u}) = 0 |
|
...
...
The simplest analytical solutions for pressure diffusion are given by 1DL Linear-Drive Solution (LDS) and 1DR Line Source Solution (LSS)The table below shows a list of popular well and reservoir pressure diffusion models.
...
Fractured vertical well
...
...
Multifrac horizontal well
...
See also
...
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model
[ Aquifer Drive Models ] [ Gas Cap Drive Models ]
[ Linear single-phase pressure diffusion @model ]
...