Analysis of errors in historical use of archie's parameters

While it is common knowledge that the values of Archie's parameters 'a', 'm' and 'n' may vary for sandstone reservoirs at different conditions - consolidated/unconsolidated, water-wet/ oil-wet, pore geometry, degree of sphericity, clay content and insitu depositional environment - the values of a = 1, m - 2 and n - 2 have been linked historically with Archie's equations. Statistically, these values were assumed as the population mean when used in calculations, but the magnitude of errors associated with their use is often neglected. This study shows how a sample of data drawn from experimental and analytical methods determine Archie's parameters. Well logs from sandstone reservoirs are used to draw statistical inferences about the population characteristics of Archie's parameters in sandstone reservoirs. This also shows the magnitude of relative error possible when m = 2 and n = 2 are used to compute water saturation and formation resistivity factors.