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\phi \cdot c_t \cdot \partial_t p - \nabla \left( M \cdot ( \nabla p - \rho \cdot \mathbf{g} ) \right) - c \cdot M \cdot (\nabla p)^2 = \sum_k q({\bf r}) \cdot \delta({\bf r}-{\bf r}_k) |
The alternative form is:
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\phi \cdot c_t \cdot \mu \cdot \partial_t \Psi -
\nabla \cdot \left( k \cdot ( \vec \nabla \Psi - \frac{\rho^2}{\mu} \, {\bf g} ) \right)
= \sum_k q({\bf r}) \cdot \delta({\bf r}-{\bf r}_k) |
Physical models of pressure diffusion can be split into two categories: Newtonian and Rheological (non-Newtonian) based on the fluid stress model.
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