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Usually means a sum of effective porosity and additional rock volume occupied by some minerals which are seen as porosity development by some reservoir data logs:

\phi_t = \phi_e + V_{\rm {minerals}}


For example, the neutron porosity sees shales as porosity development and can be considered as total porosity as against the effective porosity which contains hydrodynamically connected fluid volumes:

\phi_n = \phi_e + V_{sh}


Since the term does not specify the measurement physics to which it relates it is not advise for the usage outside the context 

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