$(1)$ The following table shows the measured viscosity of a Lloydminster heavy oil sample.

Based on the data provided, generate a viscosity equation that relates viscosity with

temperature. Such correlation is must$-$have information when one wants to run reservoir

simulation for heavy oil reservoirs.

You can use two types of logarithm equations for describing the heavy oil viscosity versus

temperature as follows:

$lo{g}_{10}()=aT+b$

$lo{g}_{10}[lo{g}_{10}()]=alo{g}_{10}(T)+b$

Use both equations to correlate the viscosity data below and compare the accuracy

of these two types of equations. Why do we prefer the double log equation for

describing the viscosity$-$temperature relationship for heavy oil? $(15/15)$