...
LaTeX Math Block |
---|
|
M = k_{air}a({\bf r}) \, M_r(p, \nabla p) |
...
LaTeX Math Block |
---|
|
c_t({\bf r},p) = c_r({\bf r},p) + \sum_\alpha s_\alpha({\bf r}) c_\alpha(p) |
where
The same account for non-linearity can be applied for non-linear multi-phase pressure diffusion when Pressure Diffusion Model Validity Scope is met and multi-phase pressure dynamics can be modeled as effective single-phase pressure dynamics.
...
LaTeX Math Block |
---|
|
c_t(p) \, \phi({\bf r}) \, \frac{\partial p}{\partial t} = \nabla ( \alphaM(p) \nabla p ) |
where
LaTeX Math Block |
---|
| c_t({\bf r},p) = c_r({\bf r}) + \sum_\alpha s_\alpha({\bf r}) c_\alpha(p) |
| |
---|
| Rock compressibilityas function of location |
---|
| -phase compressibility as function of reservoir pressure for LaTeX Math Inline |
---|
body | \alpha = \{ w, \, o, \, g \} |
---|
|
|
---|
LaTeX Math Inline |
---|
body | --uriencoded--\displaystyle |
---|
|
|
---|
\alphafrac{k}{}See also
...
Pressure diffusion / Pressure Diffusion @model / Single-phase pressure diffusion model / Non-linear single-phase pressure diffusion @model
...