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| \phi \cdot c_t \cdot \partial_t p + \nabla {\bf u}
+ c \cdot ( {\bf u} \, \nabla p)
= 0 |
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| {\bf u} = - M \cdot ( \nabla p - \rho \, {\bf g}) |
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| \int_{\Sigma_k} \, {\bf u} \, d {\bf A\Sigma} = q_k(t) |
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where
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| body | --uriencoded--d %7B\bf \Sigma%7D |
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| normal vector of differential area on the well-reservoir contact, pointing inside wellbore |
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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