TEM-function

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In petroleum engineering, TEM (True Effective Mobility), also called TEM-function, is a criterion to characterize dynamic fluid-flow characteristics of rocks. TEM is a function of Relative permeability, Porosity, absolute Permeability and fluid Viscosity, and can be determined for each fluid phase separately. TEM-function has been derived from Darcy's law for multiphase flow.

$TEM=\frac{k{k}_{{r}}}{\varphi \mu }$

in which k is the absolute Permeability, kr is the Relative permeability, φ is the Porosity, and μ is the fluid Viscosity. Rocks with better fluid dynamics (i.e., experiencing a lower pressure drop in conducting a fluid phase) have higher TEM versus saturation curves. Rocks with lower TEM versus saturation curves resemble low quality systems.

TEM-function in analyzing Relative permeability data is analogous with Leverett J-function in analyzing Capillary pressure data.

Also, TEM-function can be used for averaging relative permeability curves (for each fluid phase, separately (i.e., water, oil, gas, CO2)).

$\text{Average kr}=\frac{\sum _{i=1}^{n}TE{M}_i}{\sum _{i=1}^n(\frac{k}{\varphi \mu }{)}_i}=\frac{\sum _{i=1}^n(\frac{k{k}_{{r}}}{\varphi \mu }{)}_i}{\sum _{i=1}^n(\frac{k}{\varphi \mu }{)}_i}$

References

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