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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.
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c_t(p) \, \phi({\bf r}) \, \frac{\partial p}{\partial t} = \nabla ( \alphaM(p) \nabla p ) |
where
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| c_t({\bf r},p) = c_r({\bf r}) + \sum_\alpha s_\alpha({\bf r}) c_\alpha(p) |
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| Rock compressibilityas function of location |
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| body | \alpha = \{ w, \, o, \, g \} |
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| body | --uriencoded--\displaystyle |
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\alphafrac{k}{}See also
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Pressure diffusion / Pressure Diffusion @model / Single-phase pressure diffusion model / Non-linear single-phase pressure diffusion @model
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