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titleDerivation


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Derivation of Single-phase Linear pressure diffusion @model


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\phi \cdot c_t \cdot \partial_t p + \nabla  {\bf u}  
= 0



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\int_{\Sigma_k} \, {\bf u} \,  d {\bf \Sigma} = q_k(t)



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{\bf u} = - M \cdot ( \nabla p - \rho \, {\bf g})


where

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well-reservoir contact of the 

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-th well

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body--uriencoded--d %7B\bf \Sigma%7D

normal vector of differential area on the well-reservoir contact, pointing inside wellbore


Many popular 1DR solutions can be approximated by Radial Flow Pressure Diffusion @model which has a big methodological value.

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