\phi \cdot \partial_\tau \Psi - \nabla \cdot \left( k \cdot \vec \nabla \Psi \right) = 0
-\frac{k}{\mu} \int_{\Sigma} \, \frac{\partial p}{ d n} \, d \sigma = q(t)
where
position vector of the -th source
dynamic viscosity of a given fluid
sandface flowrates to/from the well-reservoir contact
Derivation of pseudo-linear pressure diffusion @model
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model