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By Ken Arnold

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Coates and Dumanoir [56] listed values for the cementation exponent of the Archie equation for 36 different formations in the United States. " In the absence of laboratory data, different opinions have existed regarding the appropriate empirical relationship. Some authors [57]' felt that the Archie equation (Equation 5-46) with m = 2 or the Humble equation (Equation 5-48) yields results satisfactory for most engineering purposes, but Equation 5-50 may be more valid (these authors point out that the relationship used should be based on independent observations of interest).

Absolute Permeabllity If a porous system is completely saturated with a single fluid, the permeability is a rock property and not a property of the flowing fluid (with the exception of gases at low pressure). This permeability at 100% saturation of a single fluid is termed the absolute permeability. Darcy Equation The Darcy equation relates the apparent velocity, v, of a homogeneous fluid in a porous medium to the fluid viscosity, p, and the pressure gradient, Ap/L (5-36) This equation states that the f h i d velocity is proportional to the pressure gradient and inversely proportional to fluid viscosity.

Porosity on log-log paper. 8 to 2. 3 to 2 for loosely or partly consolidated sands. Fquations 5-45 and 5-46 were also combined by Archie to give: so that a reasonable estimate of is obtained. F, or Ro can be made if the slope, m, Several other correlations [43-551, mostly empirical, between formation factor and porosity have been reported in the literature and these are summarized in Table 5-7. From an analysis of about 30 sandstone cores from a number of different reservoirs throughout the United States, Winsauer et al.

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